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Atlas › Integer Profiles › Node 11,763,576

11,763,576

23 × 33 × 11 × 4951
Abundant Even Composite

11,763,576 factors as 2^3 × 3^3 × 11 × 4951. Its 64 positive divisors give a proper-divisor sum of 23,890,824, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 11 × 4951
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 35,654,400
Proper Divisor Sum 23,890,824
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #11763551 ← → #11763581

Radix Representation

Decimal 11763576
Binary 101100110111111101111000 (24 bits)
Octal 0o54677570
Hexadecimal 0xB37F78

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1,188 2,376 4,951 9,902 14,853 19,804 29,706 39,608 44,559 54,461 59,412 89,118 108,922 118,824 133,677 163,383 178,236 217,844 267,354 326,766 356,472 435,688 490,149 534,708 653,532 980,298 1,069,416 1,307,064 1,470,447 1,960,596

Collatz Trajectory (96 steps to reach 1)

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

11,763,576 5,881,788 2,940,894 1,470,447 4,411,342 2,205,671 6,617,014 3,308,507 9,925,522 4,962,761 14,888,284 7,444,142 3,722,071 11,166,214 5,583,107 16,749,322 8,374,661 25,123,984 12,561,992 6,280,996 3,140,498 1,570,249 4,710,748 2,355,374 1,177,687 3,533,062 1,766,531 5,299,594 2,649,797 7,949,392 3,974,696 1,987,348 993,674 496,837 1,490,512 745,256 372,628 186,314 93,157 279,472 139,736 69,868 34,934 17,467 52,402 26,201 78,604 39,302 19,651 58,954 29,477 88,432 44,216 22,108 11,054 5,527 16,582 8,291 24,874 12,437

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