λ
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57,597,072

24 × 3 × 13 × 241 × 383
Abundant Even Composite

57,597,072 factors as 2^4 × 3 × 13 × 241 × 383. Its 80 positive divisors give a proper-divisor sum of 103,725,936, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 241 × 383
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 161,323,008
Proper Divisor Sum 103,725,936
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #57597047 ← → #57597079

Radix Representation

Decimal 57597072
Binary 11011011101101110010010000 (26 bits)
Octal 0o333556220
Hexadecimal 0x36EDC90

Divisor Catalog (60 of 80)

1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 241 312 383 482 624 723 766 964 1,149 1,446 1,532 1,928 2,298 2,892 3,064 3,133 3,856 4,596 4,979 5,784 6,128 6,266 9,192 9,399 9,958 11,568 12,532 14,937 18,384 18,798 19,916 25,064 29,874 37,596 39,832 50,128 59,748 75,192 79,664 92,303 119,496 150,384

Collatz Trajectory (194 steps to reach 1)

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

57,597,072 28,798,536 14,399,268 7,199,634 3,599,817 10,799,452 5,399,726 2,699,863 8,099,590 4,049,795 12,149,386 6,074,693 18,224,080 9,112,040 4,556,020 2,278,010 1,139,005 3,417,016 1,708,508 854,254 427,127 1,281,382 640,691 1,922,074 961,037 2,883,112 1,441,556 720,778 360,389 1,081,168 540,584 270,292 135,146 67,573 202,720 101,360 50,680 25,340 12,670 6,335 19,006 9,503 28,510 14,255 42,766 21,383 64,150 32,075 96,226 48,113 144,340 72,170 36,085 108,256 54,128 27,064 13,532 6,766 3,383 10,150

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