480,681

3³ × 19 × 937

Starting at 480,681, the Collatz iteration reaches 1 after 125 steps. The first transition is 1442044; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 19 × 937

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 750,400

Proper Divisor Sum 269,719

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #480661 ← → #480707

Radix Representation

Decimal	480681
Binary	1110101010110101001 (19 bits)
Octal	0o1652651
Hexadecimal	0x755A9

Divisor Catalog (16)

1 3 9 19 27 57 171 513 937 2,811 8,433 17,803 25,299 53,409 160,227 480,681

Collatz Trajectory (125 steps to reach 1)

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

480,681 1,442,044 721,022 360,511 1,081,534 540,767 1,622,302 811,151 2,433,454 1,216,727 3,650,182 1,825,091 5,475,274 2,737,637 8,212,912 4,106,456 2,053,228 1,026,614 513,307 1,539,922 769,961 2,309,884 1,154,942 577,471 1,732,414 866,207 2,598,622 1,299,311 3,897,934 1,948,967 5,846,902 2,923,451 8,770,354 4,385,177 13,155,532 6,577,766 3,288,883 9,866,650 4,933,325 14,799,976 7,399,988 3,699,994 1,849,997 5,549,992 2,774,996 1,387,498 693,749 2,081,248 1,040,624 520,312 260,156 130,078 65,039 195,118 97,559 292,678 146,339 439,018 219,509 658,528

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