61,412,260

2² × 5 × 7 × 13 × 41 × 823

61,412,260 factors as 2^2 × 5 × 7 × 13 × 41 × 823. Its 96 positive divisors give a proper-divisor sum of 101,383,772, so this integer is abundant. The Collatz stopping time is 101 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 13 × 41 × 823

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 162,796,032

Proper Divisor Sum 101,383,772

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #61412257 ← → #61412303

Radix Representation

Decimal	61412260
Binary	11101010010001001110100100 (26 bits)
Octal	0o352211644
Hexadecimal	0x3A913A4

Divisor Catalog (60 of 96)

1 2 4 5 7 10 13 14 20 26 28 35 41 52 65 70 82 91 130 140 164 182 205 260 287 364 410 455 533 574 820 823 910 1,066 1,148 1,435 1,646 1,820 2,132 2,665 2,870 3,292 3,731 4,115 5,330 5,740 5,761 7,462 8,230 10,660 10,699 11,522 14,924 16,460 18,655 21,398 23,044 28,805 33,743 37,310

Collatz Trajectory (101 steps to reach 1)

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

61,412,260 30,706,130 15,353,065 46,059,196 23,029,598 11,514,799 34,544,398 17,272,199 51,816,598 25,908,299 77,724,898 38,862,449 116,587,348 58,293,674 29,146,837 87,440,512 43,720,256 21,860,128 10,930,064 5,465,032 2,732,516 1,366,258 683,129 2,049,388 1,024,694 512,347 1,537,042 768,521 2,305,564 1,152,782 576,391 1,729,174 864,587 2,593,762 1,296,881 3,890,644 1,945,322 972,661 2,917,984 1,458,992 729,496 364,748 182,374 91,187 273,562 136,781 410,344 205,172 102,586 51,293 153,880 76,940 38,470 19,235 57,706 28,853 86,560 43,280 21,640 10,820

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