12,460,096

2⁶ × 11² × 1609

12,460,096 factors as 2^6 × 11^2 × 1609. Its 42 positive divisors give a proper-divisor sum of 14,734,414, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^6 × 11^2 × 1609

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 27,194,510

Proper Divisor Sum 14,734,414

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #12460093 ← → #12460103

Radix Representation

Decimal	12460096
Binary	101111100010000001000000 (24 bits)
Octal	0o57420100
Hexadecimal	0xBE2040

Divisor Catalog (42)

Collatz Trajectory (158 steps to reach 1)

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

12,460,096 6,230,048 3,115,024 1,557,512 778,756 389,378 194,689 584,068 292,034 146,017 438,052 219,026 109,513 328,540 164,270 82,135 246,406 123,203 369,610 184,805 554,416 277,208 138,604 69,302 34,651 103,954 51,977 155,932 77,966 38,983 116,950 58,475 175,426 87,713 263,140 131,570 65,785 197,356 98,678 49,339 148,018 74,009 222,028 111,014 55,507 166,522 83,261 249,784 124,892 62,446 31,223 93,670 46,835 140,506 70,253 210,760 105,380 52,690 26,345 79,036

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