527,232

2⁷ × 3 × 1373

527,232 factors as 2^7 × 3 × 1373. Its 32 positive divisors give a proper-divisor sum of 874,248, so this integer is abundant. The Collatz stopping time is 45 steps.

Prime Factor Structure

Factorization String 2^7 × 3 × 1373

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,401,480

Proper Divisor Sum 874,248

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #527209 ← → #527237

Radix Representation

Decimal	527232
Binary	10000000101110000000 (20 bits)
Octal	0o2005600
Hexadecimal	0x80B80

Divisor Catalog (32)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1,373 2,746 4,119 5,492 8,238 10,984 16,476 21,968 32,952 43,936 65,904 87,872 131,808 175,744 263,616 527,232

Collatz Trajectory (45 steps to reach 1)

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

527,232 263,616 131,808 65,904 32,952 16,476 8,238 4,119 12,358 6,179 18,538 9,269 27,808 13,904 6,952 3,476 1,738 869 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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