463,272

2³ × 3 × 97 × 199

463,272 factors as 2^3 × 3 × 97 × 199. Its 32 positive divisors give a proper-divisor sum of 712,728, so this integer is abundant. The Collatz stopping time is 63 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 97 × 199

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,176,000

Proper Divisor Sum 712,728

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #463261 ← → #463283

Radix Representation

Decimal	463272
Binary	1110001000110101000 (19 bits)
Octal	0o1610650
Hexadecimal	0x711A8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 97 194 199 291 388 398 582 597 776 796 1,164 1,194 1,592 2,328 2,388 4,776 19,303 38,606 57,909 77,212 115,818 154,424 231,636 463,272

Collatz Trajectory (63 steps to reach 1)

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

463,272 231,636 115,818 57,909 173,728 86,864 43,432 21,716 10,858 5,429 16,288 8,144 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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