λ
Ratio Atlas

12,759,378

2 × 3 × 73 × 29131
Abundant Even Composite

12,759,378 factors as 2 × 3 × 73 × 29131. Its 16 positive divisors give a proper-divisor sum of 13,109,838, so this integer is abundant. The Collatz stopping time is 347 steps.

Prime Factor Structure

Factorization String 2 × 3 × 73 × 29131
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 25,869,216
Proper Divisor Sum 13,109,838
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #12759377 ← → #12759389

Radix Representation

Decimal 12759378
Binary 110000101011000101010010 (24 bits)
Octal 0o60530522
Hexadecimal 0xC2B152

Divisor Catalog (16)

Collatz Trajectory (347 steps to reach 1)

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

12,759,378 6,379,689 19,139,068 9,569,534 4,784,767 14,354,302 7,177,151 21,531,454 10,765,727 32,297,182 16,148,591 48,445,774 24,222,887 72,668,662 36,334,331 109,002,994 54,501,497 163,504,492 81,752,246 40,876,123 122,628,370 61,314,185 183,942,556 91,971,278 45,985,639 137,956,918 68,978,459 206,935,378 103,467,689 310,403,068 155,201,534 77,600,767 232,802,302 116,401,151 349,203,454 174,601,727 523,805,182 261,902,591 785,707,774 392,853,887 1,178,561,662 589,280,831 1,767,842,494 883,921,247 2,651,763,742 1,325,881,871 3,977,645,614 1,988,822,807 5,966,468,422 2,983,234,211 8,949,702,634 4,474,851,317 13,424,553,952 6,712,276,976 3,356,138,488 1,678,069,244 839,034,622 419,517,311 1,258,551,934 629,275,967

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