λ
Ratio Atlas
Atlas › Integer Profiles › Node 57,741,904

57,741,904

24 × 11 × 37 × 8867
Abundant Even Composite

57,741,904 factors as 2^4 × 11 × 37 × 8867. Its 40 positive divisors give a proper-divisor sum of 67,616,144, so this integer is abundant. The Collatz stopping time is 176 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 37 × 8867
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 125,358,048
Proper Divisor Sum 67,616,144
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #57741889 ← → #57741907

Radix Representation

Decimal 57741904
Binary 11011100010001001001010000 (26 bits)
Octal 0o334211120
Hexadecimal 0x3711250

Divisor Catalog (40)

1 2 4 8 11 16 22 37 44 74 88 148 176 296 407 592 814 1,628 3,256 6,512 8,867 17,734 35,468 70,936 97,537 141,872 195,074 328,079 390,148 656,158 780,296 1,312,316 1,560,592 2,624,632 3,608,869 5,249,264 7,217,738 14,435,476 28,870,952 57,741,904

Collatz Trajectory (176 steps to reach 1)

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

57,741,904 28,870,952 14,435,476 7,217,738 3,608,869 10,826,608 5,413,304 2,706,652 1,353,326 676,663 2,029,990 1,014,995 3,044,986 1,522,493 4,567,480 2,283,740 1,141,870 570,935 1,712,806 856,403 2,569,210 1,284,605 3,853,816 1,926,908 963,454 481,727 1,445,182 722,591 2,167,774 1,083,887 3,251,662 1,625,831 4,877,494 2,438,747 7,316,242 3,658,121 10,974,364 5,487,182 2,743,591 8,230,774 4,115,387 12,346,162 6,173,081 18,519,244 9,259,622 4,629,811 13,889,434 6,944,717 20,834,152 10,417,076 5,208,538 2,604,269 7,812,808 3,906,404 1,953,202 976,601 2,929,804 1,464,902 732,451 2,197,354

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #57,741,903 Browse Full Index Next Integer #57,741,905 →