57,719,748

2² × 3 × 271 × 17749

57,719,748 factors as 2^2 × 3 × 271 × 17749. Its 24 positive divisors give a proper-divisor sum of 77,464,252, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 271 × 17749

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 135,184,000

Proper Divisor Sum 77,464,252

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #57719747 ← → #57719749

Radix Representation

Decimal	57719748
Binary	11011100001011101111000100 (26 bits)
Octal	0o334135704
Hexadecimal	0x370BBC4

Divisor Catalog (24)

Collatz Trajectory (75 steps to reach 1)

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

57,719,748 28,859,874 14,429,937 43,289,812 21,644,906 10,822,453 32,467,360 16,233,680 8,116,840 4,058,420 2,029,210 1,014,605 3,043,816 1,521,908 760,954 380,477 1,141,432 570,716 285,358 142,679 428,038 214,019 642,058 321,029 963,088 481,544 240,772 120,386 60,193 180,580 90,290 45,145 135,436 67,718 33,859 101,578 50,789 152,368 76,184 38,092 19,046 9,523 28,570 14,285 42,856 21,428 10,714 5,357 16,072 8,036 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696

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