53,908

2² × 13477

53,908 factors as 2^2 × 13477. Its 6 positive divisors give a proper-divisor sum of 40,438, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^2 × 13477

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 94,346

Proper Divisor Sum 40,438

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #53899 ← → #53917

Radix Representation

Decimal	53908
Binary	1101001010010100 (16 bits)
Octal	0o151224
Hexadecimal	0xD294

Divisor Catalog (6)

1 2 4 13,477 26,954 53,908

Collatz Trajectory (184 steps to reach 1)

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

53,908 26,954 13,477 40,432 20,216 10,108 5,054 2,527 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799 14,398 7,199 21,598 10,799 32,398 16,199 48,598 24,299 72,898 36,449 109,348 54,674 27,337 82,012 41,006 20,503 61,510 30,755 92,266 46,133 138,400 69,200 34,600 17,300 8,650 4,325 12,976 6,488 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056

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