56,049,136

2⁴ × 11² × 13 × 17 × 131

56,049,136 factors as 2^4 × 11^2 × 13 × 17 × 131. Its 120 positive divisors give a proper-divisor sum of 81,098,336, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^4 × 11^2 × 13 × 17 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 137,147,472

Proper Divisor Sum 81,098,336

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #56049131 ← → #56049151

Radix Representation

Decimal	56049136
Binary	11010101110011110111110000 (26 bits)
Octal	0o325636760
Hexadecimal	0x3573DF0

Divisor Catalog (60 of 120)

1 2 4 8 11 13 16 17 22 26 34 44 52 68 88 104 121 131 136 143 176 187 208 221 242 262 272 286 374 442 484 524 572 748 884 968 1,048 1,144 1,441 1,496 1,573 1,703 1,768 1,936 2,057 2,096 2,227 2,288 2,431 2,882 2,992 3,146 3,406 3,536 4,114 4,454 4,862 5,764 6,292 6,812

Collatz Trajectory (155 steps to reach 1)

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

56,049,136 28,024,568 14,012,284 7,006,142 3,503,071 10,509,214 5,254,607 15,763,822 7,881,911 23,645,734 11,822,867 35,468,602 17,734,301 53,202,904 26,601,452 13,300,726 6,650,363 19,951,090 9,975,545 29,926,636 14,963,318 7,481,659 22,444,978 11,222,489 33,667,468 16,833,734 8,416,867 25,250,602 12,625,301 37,875,904 18,937,952 9,468,976 4,734,488 2,367,244 1,183,622 591,811 1,775,434 887,717 2,663,152 1,331,576 665,788 332,894 166,447 499,342 249,671 749,014 374,507 1,123,522 561,761 1,685,284 842,642 421,321 1,263,964 631,982 315,991 947,974 473,987 1,421,962 710,981 2,132,944

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #56,049,135 Browse Full Index Next Integer #56,049,137 →