61,349,480

2³ × 5 × 19 × 89 × 907

61,349,480 factors as 2^3 × 5 × 19 × 89 × 907. Its 64 positive divisors give a proper-divisor sum of 85,746,520, so this integer is abundant. The Collatz stopping time is 326 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 19 × 89 × 907

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 147,096,000

Proper Divisor Sum 85,746,520

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #61349459 ← → #61349503

Radix Representation

Decimal	61349480
Binary	11101010000001111001101000 (26 bits)
Octal	0o352017150
Hexadecimal	0x3A81E68

Divisor Catalog (60 of 64)

1 2 4 5 8 10 19 20 38 40 76 89 95 152 178 190 356 380 445 712 760 890 907 1,691 1,780 1,814 3,382 3,560 3,628 4,535 6,764 7,256 8,455 9,070 13,528 16,910 17,233 18,140 33,820 34,466 36,280 67,640 68,932 80,723 86,165 137,864 161,446 172,330 322,892 344,660 403,615 645,784 689,320 807,230 1,533,737 1,614,460 3,067,474 3,228,920 6,134,948 7,668,685

Collatz Trajectory (326 steps to reach 1)

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

61,349,480 30,674,740 15,337,370 7,668,685 23,006,056 11,503,028 5,751,514 2,875,757 8,627,272 4,313,636 2,156,818 1,078,409 3,235,228 1,617,614 808,807 2,426,422 1,213,211 3,639,634 1,819,817 5,459,452 2,729,726 1,364,863 4,094,590 2,047,295 6,141,886 3,070,943 9,212,830 4,606,415 13,819,246 6,909,623 20,728,870 10,364,435 31,093,306 15,546,653 46,639,960 23,319,980 11,659,990 5,829,995 17,489,986 8,744,993 26,234,980 13,117,490 6,558,745 19,676,236 9,838,118 4,919,059 14,757,178 7,378,589 22,135,768 11,067,884 5,533,942 2,766,971 8,300,914 4,150,457 12,451,372 6,225,686 3,112,843 9,338,530 4,669,265 14,007,796

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #61,349,479 Browse Full Index Next Integer #61,349,481 →