λ
Sigma Notebook

1,455,272

23 × 7 × 13 × 1999
Abundant Even Composite

1,455,272 is even and not a perfect square. Its factorization is 2^3 × 7 × 13 × 1999 and its 32 divisors sum to 3,360,000.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 1999
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,360,000
Proper Divisor Sum 1,904,728
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1455263 ← → #1455301

Radix Representation

Decimal 1455272
Binary 101100011010010101000 (21 bits)
Octal 0o5432250
Hexadecimal 0x1634A8

Divisor Catalog (32)

1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 1,999 3,998 7,996 13,993 15,992 25,987 27,986 51,974 55,972 103,948 111,944 181,909 207,896 363,818 727,636 1,455,272

Collatz Trajectory (137 steps to reach 1)

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

1,455,272 727,636 363,818 181,909 545,728 272,864 136,432 68,216 34,108 17,054 8,527 25,582 12,791 38,374 19,187 57,562 28,781 86,344 43,172 21,586 10,793 32,380 16,190 8,095 24,286 12,143 36,430 18,215 54,646 27,323 81,970 40,985 122,956 61,478 30,739 92,218 46,109 138,328 69,164 34,582 17,291 51,874 25,937 77,812 38,906 19,453 58,360 29,180 14,590 7,295 21,886 10,943 32,830 16,415 49,246 24,623 73,870 36,935 110,806 55,403

More profiles

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