12,137,456

2⁴ × 17 × 44623

12,137,456 factors as 2^4 × 17 × 44623. Its 20 positive divisors give a proper-divisor sum of 12,762,736, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 44623

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 24,900,192

Proper Divisor Sum 12,762,736

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #12137449 ← → #12137459

Radix Representation

Decimal	12137456
Binary	101110010011001111110000 (24 bits)
Octal	0o56231760
Hexadecimal	0xB933F0

Divisor Catalog (20)

Collatz Trajectory (109 steps to reach 1)

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

12,137,456 6,068,728 3,034,364 1,517,182 758,591 2,275,774 1,137,887 3,413,662 1,706,831 5,120,494 2,560,247 7,680,742 3,840,371 11,521,114 5,760,557 17,281,672 8,640,836 4,320,418 2,160,209 6,480,628 3,240,314 1,620,157 4,860,472 2,430,236 1,215,118 607,559 1,822,678 911,339 2,734,018 1,367,009 4,101,028 2,050,514 1,025,257 3,075,772 1,537,886 768,943 2,306,830 1,153,415 3,460,246 1,730,123 5,190,370 2,595,185 7,785,556 3,892,778 1,946,389 5,839,168 2,919,584 1,459,792 729,896 364,948 182,474 91,237 273,712 136,856 68,428 34,214 17,107 51,322 25,661 76,984

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