61,301,460

2² × 3 × 5 × 11 × 293 × 317

61,301,460 factors as 2^2 × 3 × 5 × 11 × 293 × 317. Its 96 positive divisors give a proper-divisor sum of 127,178,412, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 293 × 317

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 188,479,872

Proper Divisor Sum 127,178,412

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #61301459 ← → #61301497

Radix Representation

Decimal	61301460
Binary	11101001110110001011010100 (26 bits)
Octal	0o351661324
Hexadecimal	0x3A762D4

Divisor Catalog (60 of 96)

1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 293 317 330 586 634 660 879 951 1,172 1,268 1,465 1,585 1,758 1,902 2,930 3,170 3,223 3,487 3,516 3,804 4,395 4,755 5,860 6,340 6,446 6,974 8,790 9,510 9,669 10,461 12,892 13,948 16,115 17,435 17,580 19,020 19,338 20,922

Collatz Trajectory (114 steps to reach 1)

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

61,301,460 30,650,730 15,325,365 45,976,096 22,988,048 11,494,024 5,747,012 2,873,506 1,436,753 4,310,260 2,155,130 1,077,565 3,232,696 1,616,348 808,174 404,087 1,212,262 606,131 1,818,394 909,197 2,727,592 1,363,796 681,898 340,949 1,022,848 511,424 255,712 127,856 63,928 31,964 15,982 7,991 23,974 11,987 35,962 17,981 53,944 26,972 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802

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