61,392,320

2⁶ × 5 × 11 × 107 × 163

61,392,320 factors as 2^6 × 5 × 11 × 107 × 163. Its 112 positive divisors give a proper-divisor sum of 100,566,208, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 11 × 107 × 163

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 161,958,528

Proper Divisor Sum 100,566,208

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #61392319 ← → #61392323

Radix Representation

Decimal	61392320
Binary	11101010001100010111000000 (26 bits)
Octal	0o352142700
Hexadecimal	0x3A8C5C0

Divisor Catalog (60 of 112)

1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 107 110 160 163 176 214 220 320 326 352 428 440 535 652 704 815 856 880 1,070 1,177 1,304 1,630 1,712 1,760 1,793 2,140 2,354 2,608 3,260 3,424 3,520 3,586 4,280 4,708 5,216 5,885 6,520 6,848 7,172 8,560 8,965 9,416 10,432

Collatz Trajectory (212 steps to reach 1)

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

61,392,320 30,696,160 15,348,080 7,674,040 3,837,020 1,918,510 959,255 2,877,766 1,438,883 4,316,650 2,158,325 6,474,976 3,237,488 1,618,744 809,372 404,686 202,343 607,030 303,515 910,546 455,273 1,365,820 682,910 341,455 1,024,366 512,183 1,536,550 768,275 2,304,826 1,152,413 3,457,240 1,728,620 864,310 432,155 1,296,466 648,233 1,944,700 972,350 486,175 1,458,526 729,263 2,187,790 1,093,895 3,281,686 1,640,843 4,922,530 2,461,265 7,383,796 3,691,898 1,845,949 5,537,848 2,768,924 1,384,462 692,231 2,076,694 1,038,347 3,115,042 1,557,521 4,672,564 2,336,282

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