λ
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Atlas › Integer Profiles › Node 61,531,994

61,531,994

2 × 19 × 79 × 103 × 199
Deficient Even Composite

61,531,994 factors as 2 × 19 × 79 × 103 × 199. Its 32 positive divisors give a proper-divisor sum of 38,308,006, so this integer is deficient. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2 × 19 × 79 × 103 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 99,840,000
Proper Divisor Sum 38,308,006
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #61531979 ← → #61532017

Radix Representation

Decimal 61531994
Binary 11101010101110011101011010 (26 bits)
Octal 0o352563532
Hexadecimal 0x3AAE75A

Divisor Catalog (32)

1 2 19 38 79 103 158 199 206 398 1,501 1,957 3,002 3,781 3,914 7,562 8,137 15,721 16,274 20,497 31,442 40,994 154,603 298,699 309,206 389,443 597,398 778,886 1,619,263 3,238,526 30,765,997 61,531,994

Collatz Trajectory (127 steps to reach 1)

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

61,531,994 30,765,997 92,297,992 46,148,996 23,074,498 11,537,249 34,611,748 17,305,874 8,652,937 25,958,812 12,979,406 6,489,703 19,469,110 9,734,555 29,203,666 14,601,833 43,805,500 21,902,750 10,951,375 32,854,126 16,427,063 49,281,190 24,640,595 73,921,786 36,960,893 110,882,680 55,441,340 27,720,670 13,860,335 41,581,006 20,790,503 62,371,510 31,185,755 93,557,266 46,778,633 140,335,900 70,167,950 35,083,975 105,251,926 52,625,963 157,877,890 78,938,945 236,816,836 118,408,418 59,204,209 177,612,628 88,806,314 44,403,157 133,209,472 66,604,736 33,302,368 16,651,184 8,325,592 4,162,796 2,081,398 1,040,699 3,122,098 1,561,049 4,683,148 2,341,574

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