λ
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Atlas › Integer Profiles › Node 15,106,912

15,106,912

25 × 29 × 73 × 223
Abundant Even Composite

15,106,912 factors as 2^5 × 29 × 73 × 223. Its 48 positive divisors give a proper-divisor sum of 16,221,728, so this integer is abundant. The Collatz stopping time is 249 steps.

Prime Factor Structure

Factorization String 2^5 × 29 × 73 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 31,328,640
Proper Divisor Sum 16,221,728
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #15106859 ← → #15106921

Radix Representation

Decimal 15106912
Binary 111001101000001101100000 (24 bits)
Octal 0o71501540
Hexadecimal 0xE68360

Divisor Catalog (48)

1 2 4 8 16 29 32 58 73 116 146 223 232 292 446 464 584 892 928 1,168 1,784 2,117 2,336 3,568 4,234 6,467 7,136 8,468 12,934 16,279 16,936 25,868 32,558 33,872 51,736 65,116 67,744 103,472 130,232 206,944 260,464 472,091 520,928 944,182 1,888,364 3,776,728 7,553,456 15,106,912

Collatz Trajectory (249 steps to reach 1)

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

15,106,912 7,553,456 3,776,728 1,888,364 944,182 472,091 1,416,274 708,137 2,124,412 1,062,206 531,103 1,593,310 796,655 2,389,966 1,194,983 3,584,950 1,792,475 5,377,426 2,688,713 8,066,140 4,033,070 2,016,535 6,049,606 3,024,803 9,074,410 4,537,205 13,611,616 6,805,808 3,402,904 1,701,452 850,726 425,363 1,276,090 638,045 1,914,136 957,068 478,534 239,267 717,802 358,901 1,076,704 538,352 269,176 134,588 67,294 33,647 100,942 50,471 151,414 75,707 227,122 113,561 340,684 170,342 85,171 255,514 127,757 383,272 191,636 95,818

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