13,800,652

2² × 691 × 4993

13,800,652 factors as 2^2 × 691 × 4993. Its 12 positive divisors give a proper-divisor sum of 10,390,284, so this integer is deficient. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2^2 × 691 × 4993

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 24,190,936

Proper Divisor Sum 10,390,284

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #13800637 ← → #13800653

Radix Representation

Decimal	13800652
Binary	110100101001010011001100 (24 bits)
Octal	0o64512314
Hexadecimal	0xD294CC

Divisor Catalog (12)

1 2 4 691 1,382 2,764 4,993 9,986 19,972 3,450,163 6,900,326 13,800,652

Collatz Trajectory (99 steps to reach 1)

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

13,800,652 6,900,326 3,450,163 10,350,490 5,175,245 15,525,736 7,762,868 3,881,434 1,940,717 5,822,152 2,911,076 1,455,538 727,769 2,183,308 1,091,654 545,827 1,637,482 818,741 2,456,224 1,228,112 614,056 307,028 153,514 76,757 230,272 115,136 57,568 28,784 14,392 7,196 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407

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