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11,616,968

23 × 113 × 1091
Abundant Even Composite

11,616,968 factors as 2^3 × 11^3 × 1091. Its 32 positive divisors give a proper-divisor sum of 12,363,352, so this integer is abundant. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2^3 × 11^3 × 1091
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,980,320
Proper Divisor Sum 12,363,352
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #11616959 ← → #11616989

Radix Representation

Decimal 11616968
Binary 101100010100001011001000 (24 bits)
Octal 0o54241310
Hexadecimal 0xB142C8

Divisor Catalog (32)

1 2 4 8 11 22 44 88 121 242 484 968 1,091 1,331 2,182 2,662 4,364 5,324 8,728 10,648 12,001 24,002 48,004 96,008 132,011 264,022 528,044 1,056,088 1,452,121 2,904,242 5,808,484 11,616,968

Collatz Trajectory (215 steps to reach 1)

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

11,616,968 5,808,484 2,904,242 1,452,121 4,356,364 2,178,182 1,089,091 3,267,274 1,633,637 4,900,912 2,450,456 1,225,228 612,614 306,307 918,922 459,461 1,378,384 689,192 344,596 172,298 86,149 258,448 129,224 64,612 32,306 16,153 48,460 24,230 12,115 36,346 18,173 54,520 27,260 13,630 6,815 20,446 10,223 30,670 15,335 46,006 23,003 69,010 34,505 103,516 51,758 25,879 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836 10,918 5,459 16,378 8,189 24,568 12,284

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