12,525,359

7 × 11 × 47 × 3461

12,525,359 factors as 7 × 11 × 47 × 3461. Its 16 positive divisors give a proper-divisor sum of 3,427,537, so this integer is deficient. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 7 × 11 × 47 × 3461

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,952,896

Proper Divisor Sum 3,427,537

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #12525347 ← → #12525367

Radix Representation

Decimal	12525359
Binary	101111110001111100101111 (24 bits)
Octal	0o57617457
Hexadecimal	0xBF1F2F

Divisor Catalog (16)

1 7 11 47 77 329 517 3,461 3,619 24,227 38,071 162,667 266,497 1,138,669 1,789,337 12,525,359

Collatz Trajectory (179 steps to reach 1)

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

12,525,359 37,576,078 18,788,039 56,364,118 28,182,059 84,546,178 42,273,089 126,819,268 63,409,634 31,704,817 95,114,452 47,557,226 23,778,613 71,335,840 35,667,920 17,833,960 8,916,980 4,458,490 2,229,245 6,687,736 3,343,868 1,671,934 835,967 2,507,902 1,253,951 3,761,854 1,880,927 5,642,782 2,821,391 8,464,174 4,232,087 12,696,262 6,348,131 19,044,394 9,522,197 28,566,592 14,283,296 7,141,648 3,570,824 1,785,412 892,706 446,353 1,339,060 669,530 334,765 1,004,296 502,148 251,074 125,537 376,612 188,306 94,153 282,460 141,230 70,615 211,846 105,923 317,770 158,885 476,656

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