λ
Sigma Notebook

8,690,073

3 × 7 × 41 × 10093
Deficient Odd Composite

8,690,073 is odd and not a perfect square. Its factorization is 3 × 7 × 41 × 10093 and its 16 divisors sum to 13,566,336.

Prime Factor Structure

Factorization String 3 × 7 × 41 × 10093
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,566,336
Proper Divisor Sum 4,876,263
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8690069 ← → #8690089

Radix Representation

Decimal 8690073
Binary 100001001001100110011001 (24 bits)
Octal 0o41114631
Hexadecimal 0x849999

Divisor Catalog (16)

1 3 7 21 41 123 287 861 10,093 30,279 70,651 211,953 413,813 1,241,439 2,896,691 8,690,073

Collatz Trajectory (212 steps to reach 1)

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

8,690,073 26,070,220 13,035,110 6,517,555 19,552,666 9,776,333 29,329,000 14,664,500 7,332,250 3,666,125 10,998,376 5,499,188 2,749,594 1,374,797 4,124,392 2,062,196 1,031,098 515,549 1,546,648 773,324 386,662 193,331 579,994 289,997 869,992 434,996 217,498 108,749 326,248 163,124 81,562 40,781 122,344 61,172 30,586 15,293 45,880 22,940 11,470 5,735 17,206 8,603 25,810 12,905 38,716 19,358 9,679 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754 18,377 55,132

More profiles

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