14,460

2² × 3 × 5 × 241

Starting at 14,460, the Collatz iteration reaches 1 after 71 steps. The first transition is 7230; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 241

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 40,656

Proper Divisor Sum 26,196

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #14449 ← → #14461

Radix Representation

Decimal	14460
Binary	11100001111100 (14 bits)
Octal	0o34174
Hexadecimal	0x387C

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 241 482 723 964 1,205 1,446 2,410 2,892 3,615 4,820 7,230 14,460

Collatz Trajectory (71 steps to reach 1)

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

14,460 7,230 3,615 10,846 5,423 16,270 8,135 24,406 12,203 36,610 18,305 54,916 27,458 13,729 41,188 20,594 10,297 30,892 15,446 7,723 23,170 11,585 34,756 17,378 8,689 26,068 13,034 6,517 19,552 9,776 4,888 2,444 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 7 22 11 34 17

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