57,742,890

2 × 3 × 5 × 719 × 2677

57,742,890 factors as 2 × 3 × 5 × 719 × 2677. Its 32 positive divisors give a proper-divisor sum of 81,084,630, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 719 × 2677

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 138,827,520

Proper Divisor Sum 81,084,630

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #57742889 ← → #57742907

Radix Representation

Decimal	57742890
Binary	11011100010001011000101010 (26 bits)
Octal	0o334213052
Hexadecimal	0x371162A

Divisor Catalog (32)

Collatz Trajectory (238 steps to reach 1)

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

57,742,890 28,871,445 86,614,336 43,307,168 21,653,584 10,826,792 5,413,396 2,706,698 1,353,349 4,060,048 2,030,024 1,015,012 507,506 253,753 761,260 380,630 190,315 570,946 285,473 856,420 428,210 214,105 642,316 321,158 160,579 481,738 240,869 722,608 361,304 180,652 90,326 45,163 135,490 67,745 203,236 101,618 50,809 152,428 76,214 38,107 114,322 57,161 171,484 85,742 42,871 128,614 64,307 192,922 96,461 289,384 144,692 72,346 36,173 108,520 54,260 27,130 13,565 40,696 20,348 10,174

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