54,665

5 × 13 × 29²

Starting at 54,665, the Collatz iteration reaches 1 after 184 steps. The first transition is 163996; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5 × 13 × 29^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 73,164

Proper Divisor Sum 18,499

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #54647 ← → #54667

Radix Representation

Decimal	54665
Binary	1101010110001001 (16 bits)
Octal	0o152611
Hexadecimal	0xD589

Divisor Catalog (12)

1 5 13 29 65 145 377 841 1,885 4,205 10,933 54,665

Collatz Trajectory (184 steps to reach 1)

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

54,665 163,996 81,998 40,999 122,998 61,499 184,498 92,249 276,748 138,374 69,187 207,562 103,781 311,344 155,672 77,836 38,918 19,459 58,378 29,189 87,568 43,784 21,892 10,946 5,473 16,420 8,210 4,105 12,316 6,158 3,079 9,238 4,619 13,858 6,929 20,788 10,394 5,197 15,592 7,796 3,898 1,949 5,848 2,924 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086

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