λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,723,562

57,723,562

2 × 13 × 79 × 157 × 179
Deficient Even Composite

57,723,562 factors as 2 × 13 × 79 × 157 × 179. Its 32 positive divisors give a proper-divisor sum of 37,834,838, so this integer is deficient. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2 × 13 × 79 × 157 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 95,558,400
Proper Divisor Sum 37,834,838
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #57723529 ← → #57723563

Radix Representation

Decimal 57723562
Binary 11011100001100101010101010 (26 bits)
Octal 0o334145252
Hexadecimal 0x370CAAA

Divisor Catalog (32)

1 2 13 26 79 157 158 179 314 358 1,027 2,041 2,054 2,327 4,082 4,654 12,403 14,141 24,806 28,103 28,282 56,206 161,239 183,833 322,478 365,339 367,666 730,678 2,220,137 4,440,274 28,861,781 57,723,562

Collatz Trajectory (70 steps to reach 1)

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

57,723,562 28,861,781 86,585,344 43,292,672 21,646,336 10,823,168 5,411,584 2,705,792 1,352,896 676,448 338,224 169,112 84,556 42,278 21,139 63,418 31,709 95,128 47,564 23,782 11,891 35,674 17,837 53,512 26,756 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #57,723,561 Browse Full Index Next Integer #57,723,563 →