57,208

2³ × 7151

57,208 factors as 2^3 × 7151. Its 8 positive divisors give a proper-divisor sum of 50,072, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^3 × 7151

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 107,280

Proper Divisor Sum 50,072

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #57203 ← → #57221

Radix Representation

Decimal	57208
Binary	1101111101111000 (16 bits)
Octal	0o157570
Hexadecimal	0xDF78

Divisor Catalog (8)

1 2 4 8 7,151 14,302 28,604 57,208

Collatz Trajectory (104 steps to reach 1)

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

57,208 28,604 14,302 7,151 21,454 10,727 32,182 16,091 48,274 24,137 72,412 36,206 18,103 54,310 27,155 81,466 40,733 122,200 61,100 30,550 15,275 45,826 22,913 68,740 34,370 17,185 51,556 25,778 12,889 38,668 19,334 9,667 29,002 14,501 43,504 21,752 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #57,207 Browse Full Index Next Integer #57,209 →