47,745,124

2² × 7 × 101 × 16883

47,745,124 factors as 2^2 × 7 × 101 × 16883. Its 24 positive divisors give a proper-divisor sum of 48,696,284, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 101 × 16883

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 96,441,408

Proper Divisor Sum 48,696,284

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #47745121 ← → #47745199

Radix Representation

Decimal	47745124
Binary	10110110001000100001100100 (26 bits)
Octal	0o266104144
Hexadecimal	0x2D88864

Divisor Catalog (24)

Collatz Trajectory (142 steps to reach 1)

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

47,745,124 23,872,562 11,936,281 35,808,844 17,904,422 8,952,211 26,856,634 13,428,317 40,284,952 20,142,476 10,071,238 5,035,619 15,106,858 7,553,429 22,660,288 11,330,144 5,665,072 2,832,536 1,416,268 708,134 354,067 1,062,202 531,101 1,593,304 796,652 398,326 199,163 597,490 298,745 896,236 448,118 224,059 672,178 336,089 1,008,268 504,134 252,067 756,202 378,101 1,134,304 567,152 283,576 141,788 70,894 35,447 106,342 53,171 159,514 79,757 239,272 119,636 59,818 29,909 89,728 44,864 22,432 11,216 5,608 2,804 1,402

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #47,745,123 Browse Full Index Next Integer #47,745,125 →