λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,322,080

61,322,080

25 × 5 × 612 × 103
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5 × 61^2 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 148,717,296
Proper Divisor Sum 87,395,216
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #61322057 ← → #61322081

Radix Representation

Decimal 61322080
Binary 11101001111011001101100000 (26 bits)
Octal 0o351731540
Hexadecimal 0x3A7B360

Divisor Catalog (60 of 72)

1 2 4 5 8 10 16 20 32 40 61 80 103 122 160 206 244 305 412 488 515 610 824 976 1,030 1,220 1,648 1,952 2,060 2,440 3,296 3,721 4,120 4,880 6,283 7,442 8,240 9,760 12,566 14,884 16,480 18,605 25,132 29,768 31,415 37,210 50,264 59,536 62,830 74,420 100,528 119,072 125,660 148,840 201,056 251,320 297,680 383,263 502,640 595,360

Collatz Trajectory (264 steps to reach 1)

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

61,322,080 30,661,040 15,330,520 7,665,260 3,832,630 1,916,315 5,748,946 2,874,473 8,623,420 4,311,710 2,155,855 6,467,566 3,233,783 9,701,350 4,850,675 14,552,026 7,276,013 21,828,040 10,914,020 5,457,010 2,728,505 8,185,516 4,092,758 2,046,379 6,139,138 3,069,569 9,208,708 4,604,354 2,302,177 6,906,532 3,453,266 1,726,633 5,179,900 2,589,950 1,294,975 3,884,926 1,942,463 5,827,390 2,913,695 8,741,086 4,370,543 13,111,630 6,555,815 19,667,446 9,833,723 29,501,170 14,750,585 44,251,756 22,125,878 11,062,939 33,188,818 16,594,409 49,783,228 24,891,614 12,445,807 37,337,422 18,668,711 56,006,134 28,003,067 84,009,202

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #61,322,079 Browse Full Index Next Integer #61,322,081 →