16,636,627

7² × 73 × 4651

16,636,627 factors as 7^2 × 73 × 4651. Its 12 positive divisors give a proper-divisor sum of 2,985,509, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 7^2 × 73 × 4651

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 19,622,136

Proper Divisor Sum 2,985,509

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #16636583 ← → #16636639

Radix Representation

Decimal	16636627
Binary	111111011101101011010011 (24 bits)
Octal	0o77355323
Hexadecimal	0xFDDAD3

Divisor Catalog (12)

1 7 49 73 511 3,577 4,651 32,557 227,899 339,523 2,376,661 16,636,627

Collatz Trajectory (200 steps to reach 1)

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

16,636,627 49,909,882 24,954,941 74,864,824 37,432,412 18,716,206 9,358,103 28,074,310 14,037,155 42,111,466 21,055,733 63,167,200 31,583,600 15,791,800 7,895,900 3,947,950 1,973,975 5,921,926 2,960,963 8,882,890 4,441,445 13,324,336 6,662,168 3,331,084 1,665,542 832,771 2,498,314 1,249,157 3,747,472 1,873,736 936,868 468,434 234,217 702,652 351,326 175,663 526,990 263,495 790,486 395,243 1,185,730 592,865 1,778,596 889,298 444,649 1,333,948 666,974 333,487 1,000,462 500,231 1,500,694 750,347 2,251,042 1,125,521 3,376,564 1,688,282 844,141 2,532,424 1,266,212 633,106

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