427,831

31 × 37 × 373

427,831 factors as 31 × 37 × 373. Its 8 positive divisors give a proper-divisor sum of 26,953, so this integer is deficient. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 31 × 37 × 373

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 454,784

Proper Divisor Sum 26,953

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #427813 ← → #427849

Radix Representation

Decimal	427831
Binary	1101000011100110111 (19 bits)
Octal	0o1503467
Hexadecimal	0x68737

Divisor Catalog (8)

1 31 37 373 1,147 11,563 13,801 427,831

Collatz Trajectory (99 steps to reach 1)

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

427,831 1,283,494 641,747 1,925,242 962,621 2,887,864 1,443,932 721,966 360,983 1,082,950 541,475 1,624,426 812,213 2,436,640 1,218,320 609,160 304,580 152,290 76,145 228,436 114,218 57,109 171,328 85,664 42,832 21,416 10,708 5,354 2,677 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734

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