57,766,737

3 × 7² × 157 × 2503

57,766,737 factors as 3 × 7^2 × 157 × 2503. Its 24 positive divisors give a proper-divisor sum of 32,437,359, so this integer is deficient. The Collatz stopping time is 313 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 157 × 2503

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 90,204,096

Proper Divisor Sum 32,437,359

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #57766729 ← → #57766739

Radix Representation

Decimal	57766737
Binary	11011100010111001101010001 (26 bits)
Octal	0o334271521
Hexadecimal	0x3717351

Divisor Catalog (24)

Collatz Trajectory (313 steps to reach 1)

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

57,766,737 173,300,212 86,650,106 43,325,053 129,975,160 64,987,580 32,493,790 16,246,895 48,740,686 24,370,343 73,111,030 36,555,515 109,666,546 54,833,273 164,499,820 82,249,910 41,124,955 123,374,866 61,687,433 185,062,300 92,531,150 46,265,575 138,796,726 69,398,363 208,195,090 104,097,545 312,292,636 156,146,318 78,073,159 234,219,478 117,109,739 351,329,218 175,664,609 526,993,828 263,496,914 131,748,457 395,245,372 197,622,686 98,811,343 296,434,030 148,217,015 444,651,046 222,325,523 666,976,570 333,488,285 1,000,464,856 500,232,428 250,116,214 125,058,107 375,174,322 187,587,161 562,761,484 281,380,742 140,690,371 422,071,114 211,035,557 633,106,672 316,553,336 158,276,668 79,138,334

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