11,634,672

2⁴ × 3 × 7 × 31 × 1117

11,634,672 factors as 2^4 × 3 × 7 × 31 × 1117. Its 80 positive divisors give a proper-divisor sum of 23,855,120, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 31 × 1117

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 35,489,792

Proper Divisor Sum 23,855,120

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #11634659 ← → #11634673

Radix Representation

Decimal	11634672
Binary	101100011000011111110000 (24 bits)
Octal	0o54303760
Hexadecimal	0xB187F0

Divisor Catalog (60 of 80)

1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1,117 1,302 1,488 1,736 2,234 2,604 3,351 3,472 4,468 5,208 6,702 7,819 8,936 10,416 13,404 15,638 17,872 23,457 26,808 31,276 34,627 46,914 53,616 62,552 69,254 93,828 103,881

Collatz Trajectory (171 steps to reach 1)

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

11,634,672 5,817,336 2,908,668 1,454,334 727,167 2,181,502 1,090,751 3,272,254 1,636,127 4,908,382 2,454,191 7,362,574 3,681,287 11,043,862 5,521,931 16,565,794 8,282,897 24,848,692 12,424,346 6,212,173 18,636,520 9,318,260 4,659,130 2,329,565 6,988,696 3,494,348 1,747,174 873,587 2,620,762 1,310,381 3,931,144 1,965,572 982,786 491,393 1,474,180 737,090 368,545 1,105,636 552,818 276,409 829,228 414,614 207,307 621,922 310,961 932,884 466,442 233,221 699,664 349,832 174,916 87,458 43,729 131,188 65,594 32,797 98,392 49,196 24,598 12,299

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