532,225

5² × 61 × 349

532,225 factors as 5^2 × 61 × 349. Its 12 positive divisors give a proper-divisor sum of 140,475, so this integer is deficient. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 5^2 × 61 × 349

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 672,700

Proper Divisor Sum 140,475

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #532199 ← → #532241

Radix Representation

Decimal	532225
Binary	10000001111100000001 (20 bits)
Octal	0o2017401
Hexadecimal	0x81F01

Divisor Catalog (12)

1 5 25 61 305 349 1,525 1,745 8,725 21,289 106,445 532,225

Collatz Trajectory (208 steps to reach 1)

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

532,225 1,596,676 798,338 399,169 1,197,508 598,754 299,377 898,132 449,066 224,533 673,600 336,800 168,400 84,200 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302

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