136,524

2² × 3 × 31 × 367

Starting at 136,524, the Collatz iteration reaches 1 after 175 steps. The first transition is 68262; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 367

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 329,728

Proper Divisor Sum 193,204

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #136523 ← → #136531

Radix Representation

Decimal	136524
Binary	100001010101001100 (18 bits)
Octal	0o412514
Hexadecimal	0x2154C

Divisor Catalog (24)

1 2 3 4 6 12 31 62 93 124 186 367 372 734 1,101 1,468 2,202 4,404 11,377 22,754 34,131 45,508 68,262 136,524

Collatz Trajectory (175 steps to reach 1)

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

136,524 68,262 34,131 102,394 51,197 153,592 76,796 38,398 19,199 57,598 28,799 86,398 43,199 129,598 64,799 194,398 97,199 291,598 145,799 437,398 218,699 656,098 328,049 984,148 492,074 246,037 738,112 369,056 184,528 92,264 46,132 23,066 11,533 34,600 17,300 8,650 4,325 12,976 6,488 3,244 1,622 811 2,434 1,217 3,652 1,826 913 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145

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