λ
Prime Ledger

57,292

22 × 14323
Deficient Even Composite

57,292 has the prime decomposition 2^2 × 14323. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 14323
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 100,268
Proper Divisor Sum 42,976
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #57287 ← → #57301

Radix Representation

Decimal 57292
Binary 1101111111001100 (16 bits)
Octal 0o157714
Hexadecimal 0xDFCC

Divisor Catalog (6)

1 2 4 14,323 28,646 57,292

Collatz Trajectory (135 steps to reach 1)

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

57,292 28,646 14,323 42,970 21,485 64,456 32,228 16,114 8,057 24,172 12,086 6,043 18,130 9,065 27,196 13,598 6,799 20,398 10,199 30,598 15,299 45,898 22,949 68,848 34,424 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550

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