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Atlas › Integer Profiles › Node 61,330,864

61,330,864

24 × 7 × 47 × 61 × 191
Abundant Even Composite

61,330,864 factors as 2^4 × 7 × 47 × 61 × 191. Its 80 positive divisors give a proper-divisor sum of 80,374,352, so this integer is abundant. The Collatz stopping time is 220 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 47 × 61 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 141,705,216
Proper Divisor Sum 80,374,352
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #61330861 ← → #61330873

Radix Representation

Decimal 61330864
Binary 11101001111101010110110000 (26 bits)
Octal 0o351752660
Hexadecimal 0x3A7D5B0

Divisor Catalog (60 of 80)

1 2 4 7 8 14 16 28 47 56 61 94 112 122 188 191 244 329 376 382 427 488 658 752 764 854 976 1,316 1,337 1,528 1,708 2,632 2,674 2,867 3,056 3,416 5,264 5,348 5,734 6,832 8,977 10,696 11,468 11,651 17,954 20,069 21,392 22,936 23,302 35,908 40,138 45,872 46,604 62,839 71,816 80,276 81,557 93,208 125,678 143,632

Collatz Trajectory (220 steps to reach 1)

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

61,330,864 30,665,432 15,332,716 7,666,358 3,833,179 11,499,538 5,749,769 17,249,308 8,624,654 4,312,327 12,936,982 6,468,491 19,405,474 9,702,737 29,108,212 14,554,106 7,277,053 21,831,160 10,915,580 5,457,790 2,728,895 8,186,686 4,093,343 12,280,030 6,140,015 18,420,046 9,210,023 27,630,070 13,815,035 41,445,106 20,722,553 62,167,660 31,083,830 15,541,915 46,625,746 23,312,873 69,938,620 34,969,310 17,484,655 52,453,966 26,226,983 78,680,950 39,340,475 118,021,426 59,010,713 177,032,140 88,516,070 44,258,035 132,774,106 66,387,053 199,161,160 99,580,580 49,790,290 24,895,145 74,685,436 37,342,718 18,671,359 56,014,078 28,007,039 84,021,118

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