225,272

2³ × 29 × 971

225,272 factors as 2^3 × 29 × 971. Its 16 positive divisors give a proper-divisor sum of 212,128, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^3 × 29 × 971

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 437,400

Proper Divisor Sum 212,128

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #225263 ← → #225287

Radix Representation

Decimal	225272
Binary	110110111111111000 (18 bits)
Octal	0o667770
Hexadecimal	0x36FF8

Divisor Catalog (16)

1 2 4 8 29 58 116 232 971 1,942 3,884 7,768 28,159 56,318 112,636 225,272

Collatz Trajectory (85 steps to reach 1)

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

225,272 112,636 56,318 28,159 84,478 42,239 126,718 63,359 190,078 95,039 285,118 142,559 427,678 213,839 641,518 320,759 962,278 481,139 1,443,418 721,709 2,165,128 1,082,564 541,282 270,641 811,924 405,962 202,981 608,944 304,472 152,236 76,118 38,059 114,178 57,089 171,268 85,634 42,817 128,452 64,226 32,113 96,340 48,170 24,085 72,256 36,128 18,064 9,032 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584

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