λ
Ratio Atlas

61,659,627

3 × 149 × 137941
Deficient Odd Composite

61,659,627 factors as 3 × 149 × 137941. Its 8 positive divisors give a proper-divisor sum of 21,105,573, so this integer is deficient. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 3 × 149 × 137941
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 82,765,200
Proper Divisor Sum 21,105,573
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #61659623 ← → #61659679

Radix Representation

Decimal 61659627
Binary 11101011001101100111101011 (26 bits)
Octal 0o353154753
Hexadecimal 0x3ACD9EB

Divisor Catalog (8)

Collatz Trajectory (251 steps to reach 1)

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

61,659,627 184,978,882 92,489,441 277,468,324 138,734,162 69,367,081 208,101,244 104,050,622 52,025,311 156,075,934 78,037,967 234,113,902 117,056,951 351,170,854 175,585,427 526,756,282 263,378,141 790,134,424 395,067,212 197,533,606 98,766,803 296,300,410 148,150,205 444,450,616 222,225,308 111,112,654 55,556,327 166,668,982 83,334,491 250,003,474 125,001,737 375,005,212 187,502,606 93,751,303 281,253,910 140,626,955 421,880,866 210,940,433 632,821,300 316,410,650 158,205,325 474,615,976 237,307,988 118,653,994 59,326,997 177,980,992 88,990,496 44,495,248 22,247,624 11,123,812 5,561,906 2,780,953 8,342,860 4,171,430 2,085,715 6,257,146 3,128,573 9,385,720 4,692,860 2,346,430

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