2,185,632

2⁵ × 3² × 7589

Starting at 2,185,632, the Collatz iteration reaches 1 after 179 steps. The first transition is 1092816; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7589

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 6,216,210

Proper Divisor Sum 4,030,578

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2185619 ← → #2185637

Radix Representation

Decimal	2185632
Binary	1000010101100110100000 (22 bits)
Octal	0o10254640
Hexadecimal	0x2159A0

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7,589 15,178 22,767 30,356 45,534 60,712 68,301 91,068 121,424 136,602 182,136 242,848 273,204 364,272 546,408 728,544 1,092,816 2,185,632

Collatz Trajectory (179 steps to reach 1)

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

2,185,632 1,092,816 546,408 273,204 136,602 68,301 204,904 102,452 51,226 25,613 76,840 38,420 19,210 9,605 28,816 14,408 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320

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