λ
Ratio Atlas

78,077,641

78077641
Deficient Odd Prime

78,077,641 factors as 78077641. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 78077641
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 78,077,642
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #78077633 ← → #78077683

Radix Representation

Decimal 78077641
Binary 100101001110101111011001001 (27 bits)
Octal 0o451657311
Hexadecimal 0x4A75EC9

Divisor Catalog (2)

Collatz Trajectory (254 steps to reach 1)

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

78,077,641 234,232,924 117,116,462 58,558,231 175,674,694 87,837,347 263,512,042 131,756,021 395,268,064 197,634,032 98,817,016 49,408,508 24,704,254 12,352,127 37,056,382 18,528,191 55,584,574 27,792,287 83,376,862 41,688,431 125,065,294 62,532,647 187,597,942 93,798,971 281,396,914 140,698,457 422,095,372 211,047,686 105,523,843 316,571,530 158,285,765 474,857,296 237,428,648 118,714,324 59,357,162 29,678,581 89,035,744 44,517,872 22,258,936 11,129,468 5,564,734 2,782,367 8,347,102 4,173,551 12,520,654 6,260,327 18,780,982 9,390,491 28,171,474 14,085,737 42,257,212 21,128,606 10,564,303 31,692,910 15,846,455 47,539,366 23,769,683 71,309,050 35,654,525 106,963,576

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