8,766,537

3 × 13² × 17291

8,766,537 factors as 3 × 13^2 × 17291. Its 12 positive divisors give a proper-divisor sum of 3,891,207, so this integer is deficient. The Collatz stopping time is 318 steps.

Prime Factor Structure

Factorization String 3 × 13^2 × 17291

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,657,744

Proper Divisor Sum 3,891,207

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8766533 ← → #8766557

Radix Representation

Decimal	8766537
Binary	100001011100010001001001 (24 bits)
Octal	0o41342111
Hexadecimal	0x85C449

Divisor Catalog (12)

1 3 13 39 169 507 17,291 51,873 224,783 674,349 2,922,179 8,766,537

Collatz Trajectory (318 steps to reach 1)

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

8,766,537 26,299,612 13,149,806 6,574,903 19,724,710 9,862,355 29,587,066 14,793,533 44,380,600 22,190,300 11,095,150 5,547,575 16,642,726 8,321,363 24,964,090 12,482,045 37,446,136 18,723,068 9,361,534 4,680,767 14,042,302 7,021,151 21,063,454 10,531,727 31,595,182 15,797,591 47,392,774 23,696,387 71,089,162 35,544,581 106,633,744 53,316,872 26,658,436 13,329,218 6,664,609 19,993,828 9,996,914 4,998,457 14,995,372 7,497,686 3,748,843 11,246,530 5,623,265 16,869,796 8,434,898 4,217,449 12,652,348 6,326,174 3,163,087 9,489,262 4,744,631 14,233,894 7,116,947 21,350,842 10,675,421 32,026,264 16,013,132 8,006,566 4,003,283 12,009,850

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