λ
Ratio Atlas

61,330,729

61330729
Deficient Odd Prime

61,330,729 factors as 61330729. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 326 steps.

Prime Factor Structure

Factorization String 61330729
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 61,330,730
Proper Divisor Sum 1
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #61330721 ← → #61330751

Radix Representation

Decimal 61330729
Binary 11101001111101010100101001 (26 bits)
Octal 0o351752451
Hexadecimal 0x3A7D529

Divisor Catalog (2)

Collatz Trajectory (326 steps to reach 1)

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

61,330,729 183,992,188 91,996,094 45,998,047 137,994,142 68,997,071 206,991,214 103,495,607 310,486,822 155,243,411 465,730,234 232,865,117 698,595,352 349,297,676 174,648,838 87,324,419 261,973,258 130,986,629 392,959,888 196,479,944 98,239,972 49,119,986 24,559,993 73,679,980 36,839,990 18,419,995 55,259,986 27,629,993 82,889,980 41,444,990 20,722,495 62,167,486 31,083,743 93,251,230 46,625,615 139,876,846 69,938,423 209,815,270 104,907,635 314,722,906 157,361,453 472,084,360 236,042,180 118,021,090 59,010,545 177,031,636 88,515,818 44,257,909 132,773,728 66,386,864 33,193,432 16,596,716 8,298,358 4,149,179 12,447,538 6,223,769 18,671,308 9,335,654 4,667,827 14,003,482

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