8,182,129

131 × 62459

Starting at 8,182,129, the Collatz iteration reaches 1 after 199 steps. The first transition is 24546388; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 131 × 62459

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,244,720

Proper Divisor Sum 62,591

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8182123 ← → #8182157

Radix Representation

Decimal	8182129
Binary	11111001101100101110001 (23 bits)
Octal	0o37154561
Hexadecimal	0x7CD971

Divisor Catalog (4)

1 131 62,459 8,182,129

Collatz Trajectory (199 steps to reach 1)

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

8,182,129 24,546,388 12,273,194 6,136,597 18,409,792 9,204,896 4,602,448 2,301,224 1,150,612 575,306 287,653 862,960 431,480 215,740 107,870 53,935 161,806 80,903 242,710 121,355 364,066 182,033 546,100 273,050 136,525 409,576 204,788 102,394 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

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