644,791

7² × 13159

Starting at 644,791, the Collatz iteration reaches 1 after 185 steps. The first transition is 1934374; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 13159

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 750,120

Proper Divisor Sum 105,329

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #644789 ← → #644797

Radix Representation

Decimal	644791
Binary	10011101011010110111 (20 bits)
Octal	0o2353267
Hexadecimal	0x9D6B7

Divisor Catalog (6)

1 7 49 13,159 92,113 644,791

Collatz Trajectory (185 steps to reach 1)

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

644,791 1,934,374 967,187 2,901,562 1,450,781 4,352,344 2,176,172 1,088,086 544,043 1,632,130 816,065 2,448,196 1,224,098 612,049 1,836,148 918,074 459,037 1,377,112 688,556 344,278 172,139 516,418 258,209 774,628 387,314 193,657 580,972 290,486 145,243 435,730 217,865 653,596 326,798 163,399 490,198 245,099 735,298 367,649 1,102,948 551,474 275,737 827,212 413,606 206,803 620,410 310,205 930,616 465,308 232,654 116,327 348,982 174,491 523,474 261,737 785,212 392,606 196,303 588,910 294,455 883,366

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