622,732

2² × 11 × 14153

Starting at 622,732, the Collatz iteration reaches 1 after 172 steps. The first transition is 311366; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 14153

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,188,936

Proper Divisor Sum 566,204

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #622729 ← → #622751

Radix Representation

Decimal	622732
Binary	10011000000010001100 (20 bits)
Octal	0o2300214
Hexadecimal	0x9808C

Divisor Catalog (12)

1 2 4 11 22 44 14,153 28,306 56,612 155,683 311,366 622,732

Collatz Trajectory (172 steps to reach 1)

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

622,732 311,366 155,683 467,050 233,525 700,576 350,288 175,144 87,572 43,786 21,893 65,680 32,840 16,420 8,210 4,105 12,316 6,158 3,079 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661

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