5,760,100

2² × 5² × 57601

5,760,100 factors as 2^2 × 5^2 × 57601. Its 18 positive divisors give a proper-divisor sum of 6,739,534, so this integer is abundant. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 57601

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 12,499,634

Proper Divisor Sum 6,739,534

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #5760091 ← → #5760101

Radix Representation

Decimal	5760100
Binary	10101111110010001100100 (23 bits)
Octal	0o25762144
Hexadecimal	0x57E464

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 57,601 115,202 230,404 288,005 576,010 1,152,020 1,440,025 2,880,050 5,760,100

Collatz Trajectory (69 steps to reach 1)

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

5,760,100 2,880,050 1,440,025 4,320,076 2,160,038 1,080,019 3,240,058 1,620,029 4,860,088 2,430,044 1,215,022 607,511 1,822,534 911,267 2,733,802 1,366,901 4,100,704 2,050,352 1,025,176 512,588 256,294 128,147 384,442 192,221 576,664 288,332 144,166 72,083 216,250 108,125 324,376 162,188 81,094 40,547 121,642 60,821 182,464 91,232 45,616 22,808 11,404 5,702 2,851 8,554 4,277 12,832 6,416 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170

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