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Atlas › Integer Profiles › Node 61,323,318

61,323,318

2 × 34 × 7 × 17 × 3181
Abundant Even Composite

61,323,318 factors as 2 × 3^4 × 7 × 17 × 3181. Its 80 positive divisors give a proper-divisor sum of 105,006,186, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 17 × 3181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 166,329,504
Proper Divisor Sum 105,006,186
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #61323299 ← → #61323329

Radix Representation

Decimal 61323318
Binary 11101001111011100000110110 (26 bits)
Octal 0o351734066
Hexadecimal 0x3A7B836

Divisor Catalog (60 of 80)

1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 306 357 378 459 567 714 918 1,071 1,134 1,377 2,142 2,754 3,181 3,213 6,362 6,426 9,543 9,639 19,086 19,278 22,267 28,629 44,534 54,077 57,258 66,801 85,887 108,154 133,602 162,231 171,774 200,403 257,661 324,462 378,539 400,806

Collatz Trajectory (212 steps to reach 1)

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

61,323,318 30,661,659 91,984,978 45,992,489 137,977,468 68,988,734 34,494,367 103,483,102 51,741,551 155,224,654 77,612,327 232,836,982 116,418,491 349,255,474 174,627,737 523,883,212 261,941,606 130,970,803 392,912,410 196,456,205 589,368,616 294,684,308 147,342,154 73,671,077 221,013,232 110,506,616 55,253,308 27,626,654 13,813,327 41,439,982 20,719,991 62,159,974 31,079,987 93,239,962 46,619,981 139,859,944 69,929,972 34,964,986 17,482,493 52,447,480 26,223,740 13,111,870 6,555,935 19,667,806 9,833,903 29,501,710 14,750,855 44,252,566 22,126,283 66,378,850 33,189,425 99,568,276 49,784,138 24,892,069 74,676,208 37,338,104 18,669,052 9,334,526 4,667,263 14,001,790

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