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Atlas › Integer Profiles › Node 55,360,960

55,360,960

26 × 5 × 113 × 1531
Abundant Even Composite

55,360,960 factors as 2^6 × 5 × 113 × 1531. Its 56 positive divisors give a proper-divisor sum of 77,720,816, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 113 × 1531
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 133,081,776
Proper Divisor Sum 77,720,816
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #55360957 ← → #55360967

Radix Representation

Decimal 55360960
Binary 11010011001011110111000000 (26 bits)
Octal 0o323136700
Hexadecimal 0x34CBDC0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 32 40 64 80 113 160 226 320 452 565 904 1,130 1,531 1,808 2,260 3,062 3,616 4,520 6,124 7,232 7,655 9,040 12,248 15,310 18,080 24,496 30,620 36,160 48,992 61,240 97,984 122,480 173,003 244,960 346,006 489,920 692,012 865,015 1,384,024 1,730,030 2,768,048 3,460,060 5,536,096 6,920,120 11,072,192 13,840,240 27,680,480 55,360,960

Collatz Trajectory (101 steps to reach 1)

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

55,360,960 27,680,480 13,840,240 6,920,120 3,460,060 1,730,030 865,015 2,595,046 1,297,523 3,892,570 1,946,285 5,838,856 2,919,428 1,459,714 729,857 2,189,572 1,094,786 547,393 1,642,180 821,090 410,545 1,231,636 615,818 307,909 923,728 461,864 230,932 115,466 57,733 173,200 86,600 43,300 21,650 10,825 32,476 16,238 8,119 24,358 12,179 36,538 18,269 54,808 27,404 13,702 6,851 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760

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