462,425

5² × 53 × 349

462,425 factors as 5^2 × 53 × 349. Its 12 positive divisors give a proper-divisor sum of 123,475, so this integer is deficient. The Collatz stopping time is 161 steps.

Prime Factor Structure

Factorization String 5^2 × 53 × 349

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 585,900

Proper Divisor Sum 123,475

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #462421 ← → #462437

Radix Representation

Decimal	462425
Binary	1110000111001011001 (19 bits)
Octal	0o1607131
Hexadecimal	0x70E59

Divisor Catalog (12)

1 5 25 53 265 349 1,325 1,745 8,725 18,497 92,485 462,425

Collatz Trajectory (161 steps to reach 1)

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

462,425 1,387,276 693,638 346,819 1,040,458 520,229 1,560,688 780,344 390,172 195,086 97,543 292,630 146,315 438,946 219,473 658,420 329,210 164,605 493,816 246,908 123,454 61,727 185,182 92,591 277,774 138,887 416,662 208,331 624,994 312,497 937,492 468,746 234,373 703,120 351,560 175,780 87,890 43,945 131,836 65,918 32,959 98,878 49,439 148,318 74,159 222,478 111,239 333,718 166,859 500,578 250,289 750,868 375,434 187,717 563,152 281,576 140,788 70,394 35,197 105,592

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