637,263

3² × 11 × 41 × 157

637,263 factors as 3^2 × 11 × 41 × 157. Its 24 positive divisors give a proper-divisor sum of 397,953, so this integer is deficient. The Collatz stopping time is 128 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 41 × 157

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,035,216

Proper Divisor Sum 397,953

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #637243 ← → #637271

Radix Representation

Decimal	637263
Binary	10011011100101001111 (20 bits)
Octal	0o2334517
Hexadecimal	0x9B94F

Divisor Catalog (24)

Collatz Trajectory (128 steps to reach 1)

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

637,263 1,911,790 955,895 2,867,686 1,433,843 4,301,530 2,150,765 6,452,296 3,226,148 1,613,074 806,537 2,419,612 1,209,806 604,903 1,814,710 907,355 2,722,066 1,361,033 4,083,100 2,041,550 1,020,775 3,062,326 1,531,163 4,593,490 2,296,745 6,890,236 3,445,118 1,722,559 5,167,678 2,583,839 7,751,518 3,875,759 11,627,278 5,813,639 17,440,918 8,720,459 26,161,378 13,080,689 39,242,068 19,621,034 9,810,517 29,431,552 14,715,776 7,357,888 3,678,944 1,839,472 919,736 459,868 229,934 114,967 344,902 172,451 517,354 258,677 776,032 388,016 194,008 97,004 48,502 24,251

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