464,922

2 × 3² × 23 × 1123

Starting at 464,922, the Collatz iteration reaches 1 after 63 steps. The first transition is 232461; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 1123

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,052,064

Proper Divisor Sum 587,142

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #464917 ← → #464923

Radix Representation

Decimal	464922
Binary	1110001100000011010 (19 bits)
Octal	0o1614032
Hexadecimal	0x7181A

Divisor Catalog (24)

1 2 3 6 9 18 23 46 69 138 207 414 1,123 2,246 3,369 6,738 10,107 20,214 25,829 51,658 77,487 154,974 232,461 464,922

Collatz Trajectory (63 steps to reach 1)

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

464,922 232,461 697,384 348,692 174,346 87,173 261,520 130,760 65,380 32,690 16,345 49,036 24,518 12,259 36,778 18,389 55,168 27,584 13,792 6,896 3,448 1,724 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16

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