λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,706,560

61,706,560

26 × 5 × 192833
Abundant Even Composite

61,706,560 factors as 2^6 × 5 × 192833. Its 28 positive divisors give a proper-divisor sum of 85,232,948, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 192833
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 146,939,508
Proper Divisor Sum 85,232,948
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #61706551 ← → #61706573

Radix Representation

Decimal 61706560
Binary 11101011011001000101000000 (26 bits)
Octal 0o353310500
Hexadecimal 0x3AD9140

Divisor Catalog (28)

1 2 4 5 8 10 16 20 32 40 64 80 160 320 192,833 385,666 771,332 964,165 1,542,664 1,928,330 3,085,328 3,856,660 6,170,656 7,713,320 12,341,312 15,426,640 30,853,280 61,706,560

Collatz Trajectory (75 steps to reach 1)

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

61,706,560 30,853,280 15,426,640 7,713,320 3,856,660 1,928,330 964,165 2,892,496 1,446,248 723,124 361,562 180,781 542,344 271,172 135,586 67,793 203,380 101,690 50,845 152,536 76,268 38,134 19,067 57,202 28,601 85,804 42,902 21,451 64,354 32,177 96,532 48,266 24,133 72,400 36,200 18,100 9,050 4,525 13,576 6,788 3,394 1,697 5,092 2,546 1,273 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816

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 #61,706,559 Browse Full Index Next Integer #61,706,561 →