225,413

431 × 523

Starting at 225,413, the Collatz iteration reaches 1 after 67 steps. The first transition is 676240; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 431 × 523

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 226,368

Proper Divisor Sum 955

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #225383 ← → #225427

Radix Representation

Decimal	225413
Binary	110111000010000101 (18 bits)
Octal	0o670205
Hexadecimal	0x37085

Divisor Catalog (4)

1 431 523 225,413

Collatz Trajectory (67 steps to reach 1)

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

225,413 676,240 338,120 169,060 84,530 42,265 126,796 63,398 31,699 95,098 47,549 142,648 71,324 35,662 17,831 53,494 26,747 80,242 40,121 120,364 60,182 30,091 90,274 45,137 135,412 67,706 33,853 101,560 50,780 25,390 12,695 38,086 19,043 57,130 28,565 85,696 42,848 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40

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