11,745

3⁴ × 5 × 29

Starting at 11,745, the Collatz iteration reaches 1 after 81 steps. The first transition is 35236; the starting value is odd with 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 5 × 29

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 21,780

Proper Divisor Sum 10,035

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #11743 ← → #11777

Radix Representation

Decimal	11745
Binary	10110111100001 (14 bits)
Octal	0o26741
Hexadecimal	0x2DE1

Divisor Catalog (20)

1 3 5 9 15 27 29 45 81 87 135 145 261 405 435 783 1,305 2,349 3,915 11,745

Collatz Trajectory (81 steps to reach 1)

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

11,745 35,236 17,618 8,809 26,428 13,214 6,607 19,822 9,911 29,734 14,867 44,602 22,301 66,904 33,452 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76

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