12,901,473

3² × 13 × 110269

12,901,473 factors as 3^2 × 13 × 110269. Its 12 positive divisors give a proper-divisor sum of 7,167,667, so this integer is deficient. The Collatz stopping time is 272 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 110269

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 20,069,140

Proper Divisor Sum 7,167,667

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #12901457 ← → #12901501

Radix Representation

Decimal	12901473
Binary	110001001101110001100001 (24 bits)
Octal	0o61156141
Hexadecimal	0xC4DC61

Divisor Catalog (12)

1 3 9 13 39 117 110,269 330,807 992,421 1,433,497 4,300,491 12,901,473

Collatz Trajectory (272 steps to reach 1)

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

12,901,473 38,704,420 19,352,210 9,676,105 29,028,316 14,514,158 7,257,079 21,771,238 10,885,619 32,656,858 16,328,429 48,985,288 24,492,644 12,246,322 6,123,161 18,369,484 9,184,742 4,592,371 13,777,114 6,888,557 20,665,672 10,332,836 5,166,418 2,583,209 7,749,628 3,874,814 1,937,407 5,812,222 2,906,111 8,718,334 4,359,167 13,077,502 6,538,751 19,616,254 9,808,127 29,424,382 14,712,191 44,136,574 22,068,287 66,204,862 33,102,431 99,307,294 49,653,647 148,960,942 74,480,471 223,441,414 111,720,707 335,162,122 167,581,061 502,743,184 251,371,592 125,685,796 62,842,898 31,421,449 94,264,348 47,132,174 23,566,087 70,698,262 35,349,131 106,047,394

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