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Atlas › Integer Profiles › Node 11,577,136

11,577,136

24 × 17 × 31 × 1373
Abundant Even Composite

11,577,136 factors as 2^4 × 17 × 31 × 1373. Its 40 positive divisors give a proper-divisor sum of 12,957,008, so this integer is abundant. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 31 × 1373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 24,534,144
Proper Divisor Sum 12,957,008
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #11577113 ← → #11577149

Radix Representation

Decimal 11577136
Binary 101100001010011100110000 (24 bits)
Octal 0o54123460
Hexadecimal 0xB0A730

Divisor Catalog (40)

1 2 4 8 16 17 31 34 62 68 124 136 248 272 496 527 1,054 1,373 2,108 2,746 4,216 5,492 8,432 10,984 21,968 23,341 42,563 46,682 85,126 93,364 170,252 186,728 340,504 373,456 681,008 723,571 1,447,142 2,894,284 5,788,568 11,577,136

Collatz Trajectory (70 steps to reach 1)

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

11,577,136 5,788,568 2,894,284 1,447,142 723,571 2,170,714 1,085,357 3,256,072 1,628,036 814,018 407,009 1,221,028 610,514 305,257 915,772 457,886 228,943 686,830 343,415 1,030,246 515,123 1,545,370 772,685 2,318,056 1,159,028 579,514 289,757 869,272 434,636 217,318 108,659 325,978 162,989 488,968 244,484 122,242 61,121 183,364 91,682 45,841 137,524 68,762 34,381 103,144 51,572 25,786 12,893 38,680 19,340 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360 680 340

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