9,025,458

2 × 3 × 13 × 251 × 461

Starting at 9,025,458, the Collatz iteration reaches 1 after 62 steps. The first transition is 4512729; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 251 × 461

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 19,559,232

Proper Divisor Sum 10,533,774

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9025451 ← → #9025463

Radix Representation

Decimal	9025458
Binary	100010011011011110110010 (24 bits)
Octal	0o42333662
Hexadecimal	0x89B7B2

Divisor Catalog (32)

1 2 3 6 13 26 39 78 251 461 502 753 922 1,383 1,506 2,766 3,263 5,993 6,526 9,789 11,986 17,979 19,578 35,958 115,711 231,422 347,133 694,266 1,504,243 3,008,486 4,512,729 9,025,458

Collatz Trajectory (62 steps to reach 1)

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

9,025,458 4,512,729 13,538,188 6,769,094 3,384,547 10,153,642 5,076,821 15,230,464 7,615,232 3,807,616 1,903,808 951,904 475,952 237,976 118,988 59,494 29,747 89,242 44,621 133,864 66,932 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8

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