59,728

2⁴ × 3733

59,728 is even and not a perfect square. Its factorization is 2^4 × 3733 and its 10 divisors sum to 115,754.

Prime Factor Structure

Factorization String 2^4 × 3733

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 115,754

Proper Divisor Sum 56,026

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #59723 ← → #59729

Radix Representation

Decimal	59728
Binary	1110100101010000 (16 bits)
Octal	0o164520
Hexadecimal	0xE950

Divisor Catalog (10)

1 2 4 8 16 3,733 7,466 14,932 29,864 59,728

Collatz Trajectory (91 steps to reach 1)

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

59,728 29,864 14,932 7,466 3,733 11,200 5,600 2,800 1,400 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308

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