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Atlas › Integer Profiles › Node 11,624,382

11,624,382

2 × 32 × 7 × 11 × 8387
Abundant Even Composite

11,624,382 factors as 2 × 3^2 × 7 × 11 × 8387. Its 48 positive divisors give a proper-divisor sum of 19,780,290, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 11 × 8387
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 31,404,672
Proper Divisor Sum 19,780,290
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #11624381 ← → #11624387

Radix Representation

Decimal 11624382
Binary 101100010101111110111110 (24 bits)
Octal 0o54257676
Hexadecimal 0xB15FBE

Divisor Catalog (48)

1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1,386 8,387 16,774 25,161 50,322 58,709 75,483 92,257 117,418 150,966 176,127 184,514 276,771 352,254 528,381 553,542 645,799 830,313 1,056,762 1,291,598 1,660,626 1,937,397 3,874,794 5,812,191 11,624,382

Collatz Trajectory (171 steps to reach 1)

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

11,624,382 5,812,191 17,436,574 8,718,287 26,154,862 13,077,431 39,232,294 19,616,147 58,848,442 29,424,221 88,272,664 44,136,332 22,068,166 11,034,083 33,102,250 16,551,125 49,653,376 24,826,688 12,413,344 6,206,672 3,103,336 1,551,668 775,834 387,917 1,163,752 581,876 290,938 145,469 436,408 218,204 109,102 54,551 163,654 81,827 245,482 122,741 368,224 184,112 92,056 46,028 23,014 11,507 34,522 17,261 51,784 25,892 12,946 6,473 19,420 9,710 4,855 14,566 7,283 21,850 10,925 32,776 16,388 8,194 4,097 12,292

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