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Atlas › Integer Profiles › Node 11,639,756

11,639,756

22 × 31 × 37 × 43 × 59
Deficient Even Composite

11,639,756 factors as 2^2 × 31 × 37 × 43 × 59. Its 48 positive divisors give a proper-divisor sum of 10,831,924, so this integer is deficient. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^2 × 31 × 37 × 43 × 59
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,471,680
Proper Divisor Sum 10,831,924
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #11639741 ← → #11639767

Radix Representation

Decimal 11639756
Binary 101100011001101111001100 (24 bits)
Octal 0o54315714
Hexadecimal 0xB19BCC

Divisor Catalog (48)

1 2 4 31 37 43 59 62 74 86 118 124 148 172 236 1,147 1,333 1,591 1,829 2,183 2,294 2,537 2,666 3,182 3,658 4,366 4,588 5,074 5,332 6,364 7,316 8,732 10,148 49,321 67,673 78,647 93,869 98,642 135,346 157,294 187,738 197,284 270,692 314,588 375,476 2,909,939 5,819,878 11,639,756

Collatz Trajectory (153 steps to reach 1)

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

11,639,756 5,819,878 2,909,939 8,729,818 4,364,909 13,094,728 6,547,364 3,273,682 1,636,841 4,910,524 2,455,262 1,227,631 3,682,894 1,841,447 5,524,342 2,762,171 8,286,514 4,143,257 12,429,772 6,214,886 3,107,443 9,322,330 4,661,165 13,983,496 6,991,748 3,495,874 1,747,937 5,243,812 2,621,906 1,310,953 3,932,860 1,966,430 983,215 2,949,646 1,474,823 4,424,470 2,212,235 6,636,706 3,318,353 9,955,060 4,977,530 2,488,765 7,466,296 3,733,148 1,866,574 933,287 2,799,862 1,399,931 4,199,794 2,099,897 6,299,692 3,149,846 1,574,923 4,724,770 2,362,385 7,087,156 3,543,578 1,771,789 5,315,368 2,657,684

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