21,657,729

3 × 139 × 167 × 311

21,657,729 factors as 3 × 139 × 167 × 311. Its 16 positive divisors give a proper-divisor sum of 7,695,231, so this integer is deficient. The Collatz stopping time is 247 steps.

Prime Factor Structure

Factorization String 3 × 139 × 167 × 311

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 29,352,960

Proper Divisor Sum 7,695,231

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #21657721 ← → #21657731

Radix Representation

Decimal	21657729
Binary	1010010100111100010000001 (25 bits)
Octal	0o122474201
Hexadecimal	0x14A7881

Divisor Catalog (16)

1 3 139 167 311 417 501 933 23,213 43,229 51,937 69,639 129,687 155,811 7,219,243 21,657,729

Collatz Trajectory (247 steps to reach 1)

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

21,657,729 64,973,188 32,486,594 16,243,297 48,729,892 24,364,946 12,182,473 36,547,420 18,273,710 9,136,855 27,410,566 13,705,283 41,115,850 20,557,925 61,673,776 30,836,888 15,418,444 7,709,222 3,854,611 11,563,834 5,781,917 17,345,752 8,672,876 4,336,438 2,168,219 6,504,658 3,252,329 9,756,988 4,878,494 2,439,247 7,317,742 3,658,871 10,976,614 5,488,307 16,464,922 8,232,461 24,697,384 12,348,692 6,174,346 3,087,173 9,261,520 4,630,760 2,315,380 1,157,690 578,845 1,736,536 868,268 434,134 217,067 651,202 325,601 976,804 488,402 244,201 732,604 366,302 183,151 549,454 274,727 824,182

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