46,105,940

2² × 5 × 29 × 79493

46,105,940 factors as 2^2 × 5 × 29 × 79493. Its 24 positive divisors give a proper-divisor sum of 54,056,500, so this integer is abundant. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 29 × 79493

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 100,162,440

Proper Divisor Sum 54,056,500

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #46105937 ← → #46105957

Radix Representation

Decimal	46105940
Binary	10101111111000010101010100 (26 bits)
Octal	0o257702524
Hexadecimal	0x2BF8554

Divisor Catalog (24)

Collatz Trajectory (204 steps to reach 1)

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

46,105,940 23,052,970 11,526,485 34,579,456 17,289,728 8,644,864 4,322,432 2,161,216 1,080,608 540,304 270,152 135,076 67,538 33,769 101,308 50,654 25,327 75,982 37,991 113,974 56,987 170,962 85,481 256,444 128,222 64,111 192,334 96,167 288,502 144,251 432,754 216,377 649,132 324,566 162,283 486,850 243,425 730,276 365,138 182,569 547,708 273,854 136,927 410,782 205,391 616,174 308,087 924,262 462,131 1,386,394 693,197 2,079,592 1,039,796 519,898 259,949 779,848 389,924 194,962 97,481 292,444

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