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Atlas › Integer Profiles › Node 11,622,736

11,622,736

24 × 29 × 37 × 677
Abundant Even Composite

11,622,736 factors as 2^4 × 29 × 37 × 677. Its 40 positive divisors give a proper-divisor sum of 12,337,784, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2^4 × 29 × 37 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 23,960,520
Proper Divisor Sum 12,337,784
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #11622733 ← → #11622761

Radix Representation

Decimal 11622736
Binary 101100010101100101010000 (24 bits)
Octal 0o54254520
Hexadecimal 0xB15950

Divisor Catalog (40)

1 2 4 8 16 29 37 58 74 116 148 232 296 464 592 677 1,073 1,354 2,146 2,708 4,292 5,416 8,584 10,832 17,168 19,633 25,049 39,266 50,098 78,532 100,196 157,064 200,392 314,128 400,784 726,421 1,452,842 2,905,684 5,811,368 11,622,736

Collatz Trajectory (171 steps to reach 1)

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

11,622,736 5,811,368 2,905,684 1,452,842 726,421 2,179,264 1,089,632 544,816 272,408 136,204 68,102 34,051 102,154 51,077 153,232 76,616 38,308 19,154 9,577 28,732 14,366 7,183 21,550 10,775 32,326 16,163 48,490 24,245 72,736 36,368 18,184 9,092 4,546 2,273 6,820 3,410 1,705 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302

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