λ
Ratio Atlas
Atlas › Integer Profiles › Node 49,323,580

49,323,580

22 × 5 × 43 × 83 × 691
Abundant Even Composite

49,323,580 factors as 2^2 × 5 × 43 × 83 × 691. Its 48 positive divisors give a proper-divisor sum of 58,096,964, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 43 × 83 × 691
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 107,420,544
Proper Divisor Sum 58,096,964
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #49323559 ← → #49323581

Radix Representation

Decimal 49323580
Binary 10111100001001111000111100 (26 bits)
Octal 0o274117074
Hexadecimal 0x2F09E3C

Divisor Catalog (48)

1 2 4 5 10 20 43 83 86 166 172 215 332 415 430 691 830 860 1,382 1,660 2,764 3,455 3,569 6,910 7,138 13,820 14,276 17,845 29,713 35,690 57,353 59,426 71,380 114,706 118,852 148,565 229,412 286,765 297,130 573,530 594,260 1,147,060 2,466,179 4,932,358 9,864,716 12,330,895 24,661,790 49,323,580

Collatz Trajectory (199 steps to reach 1)

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

49,323,580 24,661,790 12,330,895 36,992,686 18,496,343 55,489,030 27,744,515 83,233,546 41,616,773 124,850,320 62,425,160 31,212,580 15,606,290 7,803,145 23,409,436 11,704,718 5,852,359 17,557,078 8,778,539 26,335,618 13,167,809 39,503,428 19,751,714 9,875,857 29,627,572 14,813,786 7,406,893 22,220,680 11,110,340 5,555,170 2,777,585 8,332,756 4,166,378 2,083,189 6,249,568 3,124,784 1,562,392 781,196 390,598 195,299 585,898 292,949 878,848 439,424 219,712 109,856 54,928 27,464 13,732 6,866 3,433 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #49,323,579 Browse Full Index Next Integer #49,323,581 →