460,899

3² × 83 × 617

Starting at 460,899, the Collatz iteration reaches 1 after 76 steps. The first transition is 1382698; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 83 × 617

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 674,856

Proper Divisor Sum 213,957

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #460891 ← → #460903

Radix Representation

Decimal	460899
Binary	1110000100001100011 (19 bits)
Octal	0o1604143
Hexadecimal	0x70863

Divisor Catalog (12)

1 3 9 83 249 617 747 1,851 5,553 51,211 153,633 460,899

Collatz Trajectory (76 steps to reach 1)

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

460,899 1,382,698 691,349 2,074,048 1,037,024 518,512 259,256 129,628 64,814 32,407 97,222 48,611 145,834 72,917 218,752 109,376 54,688 27,344 13,672 6,836 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14

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