λ
Sigma Notebook

8,447,439

3 × 7 × 11 × 13 × 29 × 97
Deficient Odd Composite

8,447,439 is odd and not a perfect square. Its factorization is 3 × 7 × 11 × 13 × 29 × 97 and its 64 divisors sum to 15,805,440.

Prime Factor Structure

Factorization String 3 × 7 × 11 × 13 × 29 × 97
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 15,805,440
Proper Divisor Sum 7,358,001
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8447437 ← → #8447441

Radix Representation

Decimal 8447439
Binary 100000001110010111001111 (24 bits)
Octal 0o40162717
Hexadecimal 0x80E5CF

Divisor Catalog (60 of 64)

1 3 7 11 13 21 29 33 39 77 87 91 97 143 203 231 273 291 319 377 429 609 679 957 1,001 1,067 1,131 1,261 2,037 2,233 2,639 2,813 3,003 3,201 3,783 4,147 6,699 7,469 7,917 8,439 8,827 12,441 13,871 19,691 22,407 26,481 29,029 30,943 36,569 41,613 59,073 87,087 92,829 97,097 109,707 216,601 255,983 291,291 402,259 649,803

Collatz Trajectory (106 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,447,439 25,342,318 12,671,159 38,013,478 19,006,739 57,020,218 28,510,109 85,530,328 42,765,164 21,382,582 10,691,291 32,073,874 16,036,937 48,110,812 24,055,406 12,027,703 36,083,110 18,041,555 54,124,666 27,062,333 81,187,000 40,593,500 20,296,750 10,148,375 30,445,126 15,222,563 45,667,690 22,833,845 68,501,536 34,250,768 17,125,384 8,562,692 4,281,346 2,140,673 6,422,020 3,211,010 1,605,505 4,816,516 2,408,258 1,204,129 3,612,388 1,806,194 903,097 2,709,292 1,354,646 677,323 2,031,970 1,015,985 3,047,956 1,523,978 761,989 2,285,968 1,142,984 571,492 285,746 142,873 428,620 214,310 107,155 321,466

More profiles

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