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Atlas › Integer Profiles › Node 11,637,632

11,637,632

27 × 23 × 59 × 67
Abundant Even Composite

11,637,632 factors as 2^7 × 23 × 59 × 67. Its 64 positive divisors give a proper-divisor sum of 13,331,968, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^7 × 23 × 59 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 24,969,600
Proper Divisor Sum 13,331,968
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #11637611 ← → #11637643

Radix Representation

Decimal 11637632
Binary 101100011001001110000000 (24 bits)
Octal 0o54311600
Hexadecimal 0xB19380

Divisor Catalog (60 of 64)

1 2 4 8 16 23 32 46 59 64 67 92 118 128 134 184 236 268 368 472 536 736 944 1,072 1,357 1,472 1,541 1,888 2,144 2,714 2,944 3,082 3,776 3,953 4,288 5,428 6,164 7,552 7,906 8,576 10,856 12,328 15,812 21,712 24,656 31,624 43,424 49,312 63,248 86,848 90,919 98,624 126,496 173,696 181,838 197,248 252,992 363,676 505,984 727,352

Collatz Trajectory (96 steps to reach 1)

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

11,637,632 5,818,816 2,909,408 1,454,704 727,352 363,676 181,838 90,919 272,758 136,379 409,138 204,569 613,708 306,854 153,427 460,282 230,141 690,424 345,212 172,606 86,303 258,910 129,455 388,366 194,183 582,550 291,275 873,826 436,913 1,310,740 655,370 327,685 983,056 491,528 245,764 122,882 61,441 184,324 92,162 46,081 138,244 69,122 34,561 103,684 51,842 25,921 77,764 38,882 19,441 58,324 29,162 14,581 43,744 21,872 10,936 5,468 2,734 1,367 4,102 2,051

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