57,796,884

2² × 3² × 23 × 29² × 83

57,796,884 factors as 2^2 × 3^2 × 23 × 29^2 × 83. Its 108 positive divisors give a proper-divisor sum of 101,993,292, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 23 × 29^2 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 159,790,176

Proper Divisor Sum 101,993,292

Digit Sum / Digital Root 54 (Root: 9)

Adjacent Primes #57796883 ← → #57796891

Radix Representation

Decimal	57796884
Binary	11011100011110100100010100 (26 bits)
Octal	0o334364424
Hexadecimal	0x371E914

Divisor Catalog (60 of 108)

1 2 3 4 6 9 12 18 23 29 36 46 58 69 83 87 92 116 138 166 174 207 249 261 276 332 348 414 498 522 667 747 828 841 996 1,044 1,334 1,494 1,682 1,909 2,001 2,407 2,523 2,668 2,988 3,364 3,818 4,002 4,814 5,046 5,727 6,003 7,221 7,569 7,636 8,004 9,628 10,092 11,454 12,006

Collatz Trajectory (119 steps to reach 1)

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

57,796,884 28,898,442 14,449,221 43,347,664 21,673,832 10,836,916 5,418,458 2,709,229 8,127,688 4,063,844 2,031,922 1,015,961 3,047,884 1,523,942 761,971 2,285,914 1,142,957 3,428,872 1,714,436 857,218 428,609 1,285,828 642,914 321,457 964,372 482,186 241,093 723,280 361,640 180,820 90,410 45,205 135,616 67,808 33,904 16,952 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #57,796,883 Browse Full Index Next Integer #57,796,885 →