457,631

23 × 101 × 197

Starting at 457,631, the Collatz iteration reaches 1 after 107 steps. The first transition is 1372894; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 23 × 101 × 197

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 484,704

Proper Divisor Sum 27,073

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #457621 ← → #457643

Radix Representation

Decimal	457631
Binary	1101111101110011111 (19 bits)
Octal	0o1575637
Hexadecimal	0x6FB9F

Divisor Catalog (8)

1 23 101 197 2,323 4,531 19,897 457,631

Collatz Trajectory (107 steps to reach 1)

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

457,631 1,372,894 686,447 2,059,342 1,029,671 3,089,014 1,544,507 4,633,522 2,316,761 6,950,284 3,475,142 1,737,571 5,212,714 2,606,357 7,819,072 3,909,536 1,954,768 977,384 488,692 244,346 122,173 366,520 183,260 91,630 45,815 137,446 68,723 206,170 103,085 309,256 154,628 77,314 38,657 115,972 57,986 28,993 86,980 43,490 21,745 65,236 32,618 16,309 48,928 24,464 12,232 6,116 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906

← Previous Integer #457,630 Browse Full Index Next Integer #457,632 →