57,597,048

2³ × 3³ × 97 × 2749

57,597,048 factors as 2^3 × 3^3 × 97 × 2749. Its 64 positive divisors give a proper-divisor sum of 104,102,952, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 97 × 2749

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 161,700,000

Proper Divisor Sum 104,102,952

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #57597047 ← → #57597079

Radix Representation

Decimal	57597048
Binary	11011011101101110001111000 (26 bits)
Octal	0o333556170
Hexadecimal	0x36EDC78

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 388 582 776 873 1,164 1,746 2,328 2,619 2,749 3,492 5,238 5,498 6,984 8,247 10,476 10,996 16,494 20,952 21,992 24,741 32,988 49,482 65,976 74,223 98,964 148,446 197,928 266,653 296,892 533,306 593,784 799,959 1,066,612 1,599,918 2,133,224 2,399,877 3,199,836 4,799,754 6,399,672 7,199,631 9,599,508

Collatz Trajectory (194 steps to reach 1)

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

57,597,048 28,798,524 14,399,262 7,199,631 21,598,894 10,799,447 32,398,342 16,199,171 48,597,514 24,298,757 72,896,272 36,448,136 18,224,068 9,112,034 4,556,017 13,668,052 6,834,026 3,417,013 10,251,040 5,125,520 2,562,760 1,281,380 640,690 320,345 961,036 480,518 240,259 720,778 360,389 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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