8,201,479

11 × 13 × 83 × 691

8,201,479 factors as 11 × 13 × 83 × 691. Its 16 positive divisors give a proper-divisor sum of 1,564,025, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 11 × 13 × 83 × 691

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,765,504

Proper Divisor Sum 1,564,025

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8201467 ← → #8201489

Radix Representation

Decimal	8201479
Binary	11111010010010100000111 (23 bits)
Octal	0o37222407
Hexadecimal	0x7D2507

Divisor Catalog (16)

1 11 13 83 143 691 913 1,079 7,601 8,983 11,869 57,353 98,813 630,883 745,589 8,201,479

Collatz Trajectory (186 steps to reach 1)

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

8,201,479 24,604,438 12,302,219 36,906,658 18,453,329 55,359,988 27,679,994 13,839,997 41,519,992 20,759,996 10,379,998 5,189,999 15,569,998 7,784,999 23,354,998 11,677,499 35,032,498 17,516,249 52,548,748 26,274,374 13,137,187 39,411,562 19,705,781 59,117,344 29,558,672 14,779,336 7,389,668 3,694,834 1,847,417 5,542,252 2,771,126 1,385,563 4,156,690 2,078,345 6,235,036 3,117,518 1,558,759 4,676,278 2,338,139 7,014,418 3,507,209 10,521,628 5,260,814 2,630,407 7,891,222 3,945,611 11,836,834 5,918,417 17,755,252 8,877,626 4,438,813 13,316,440 6,658,220 3,329,110 1,664,555 4,993,666 2,496,833 7,490,500 3,745,250 1,872,625

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