637,821

3³ × 23623

Starting at 637,821, the Collatz iteration reaches 1 after 128 steps. The first transition is 1913464; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 23623

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 944,960

Proper Divisor Sum 307,139

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #637817 ← → #637829

Radix Representation

Decimal	637821
Binary	10011011101101111101 (20 bits)
Octal	0o2335575
Hexadecimal	0x9BB7D

Divisor Catalog (8)

1 3 9 27 23,623 70,869 212,607 637,821

Collatz Trajectory (128 steps to reach 1)

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

637,821 1,913,464 956,732 478,366 239,183 717,550 358,775 1,076,326 538,163 1,614,490 807,245 2,421,736 1,210,868 605,434 302,717 908,152 454,076 227,038 113,519 340,558 170,279 510,838 255,419 766,258 383,129 1,149,388 574,694 287,347 862,042 431,021 1,293,064 646,532 323,266 161,633 484,900 242,450 121,225 363,676 181,838 90,919 272,758 136,379 409,138 204,569 613,708 306,854 153,427 460,282 230,141 690,424 345,212 172,606 86,303 258,910 129,455 388,366 194,183 582,550 291,275 873,826

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