72,589

11 × 6599

Starting at 72,589, the Collatz iteration reaches 1 after 68 steps. The first transition is 217768; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 6599

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 79,200

Proper Divisor Sum 6,611

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #72577 ← → #72613

Radix Representation

Decimal	72589
Binary	10001101110001101 (17 bits)
Octal	0o215615
Hexadecimal	0x11B8D

Divisor Catalog (4)

1 11 6,599 72,589

Collatz Trajectory (68 steps to reach 1)

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

72,589 217,768 108,884 54,442 27,221 81,664 40,832 20,416 10,208 5,104 2,552 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80

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