λ
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61,319,010

2 × 3 × 5 × 79 × 25873
Abundant Even Composite

61,319,010 factors as 2 × 3 × 5 × 79 × 25873. Its 32 positive divisors give a proper-divisor sum of 87,715,230, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 79 × 25873
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 149,034,240
Proper Divisor Sum 87,715,230
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #61318997 ← → #61319053

Radix Representation

Decimal 61319010
Binary 11101001111010011101100010 (26 bits)
Octal 0o351723542
Hexadecimal 0x3A7A762

Divisor Catalog (32)

1 2 3 5 6 10 15 30 79 158 237 395 474 790 1,185 2,370 25,873 51,746 77,619 129,365 155,238 258,730 388,095 776,190 2,043,967 4,087,934 6,131,901 10,219,835 12,263,802 20,439,670 30,659,505 61,319,010

Collatz Trajectory (83 steps to reach 1)

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

61,319,010 30,659,505 91,978,516 45,989,258 22,994,629 68,983,888 34,491,944 17,245,972 8,622,986 4,311,493 12,934,480 6,467,240 3,233,620 1,616,810 808,405 2,425,216 1,212,608 606,304 303,152 151,576 75,788 37,894 18,947 56,842 28,421 85,264 42,632 21,316 10,658 5,329 15,988 7,994 3,997 11,992 5,996 2,998 1,499 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304

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