λ
Ratio Atlas

85,576,571

85576571
Deficient Odd Prime

85,576,571 factors as 85576571. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 85576571
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 85,576,572
Proper Divisor Sum 1
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #85576549 ← → #85576573

Radix Representation

Decimal 85576571
Binary 101000110011100101101111011 (27 bits)
Octal 0o506345573
Hexadecimal 0x519CB7B

Divisor Catalog (2)

Collatz Trajectory (122 steps to reach 1)

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

85,576,571 256,729,714 128,364,857 385,094,572 192,547,286 96,273,643 288,820,930 144,410,465 433,231,396 216,615,698 108,307,849 324,923,548 162,461,774 81,230,887 243,692,662 121,846,331 365,538,994 182,769,497 548,308,492 274,154,246 137,077,123 411,231,370 205,615,685 616,847,056 308,423,528 154,211,764 77,105,882 38,552,941 115,658,824 57,829,412 28,914,706 14,457,353 43,372,060 21,686,030 10,843,015 32,529,046 16,264,523 48,793,570 24,396,785 73,190,356 36,595,178 18,297,589 54,892,768 27,446,384 13,723,192 6,861,596 3,430,798 1,715,399 5,146,198 2,573,099 7,719,298 3,859,649 11,578,948 5,789,474 2,894,737 8,684,212 4,342,106 2,171,053 6,513,160 3,256,580

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