λ
Ratio Atlas

85,552,169

85552169
Deficient Odd Prime

85,552,169 factors as 85552169. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 85552169
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 85,552,170
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #85552141 ← → #85552189

Radix Representation

Decimal 85552169
Binary 101000110010110110000101001 (27 bits)
Octal 0o506266051
Hexadecimal 0x5196C29

Divisor Catalog (2)

Collatz Trajectory (99 steps to reach 1)

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

85,552,169 256,656,508 128,328,254 64,164,127 192,492,382 96,246,191 288,738,574 144,369,287 433,107,862 216,553,931 649,661,794 324,830,897 974,492,692 487,246,346 243,623,173 730,869,520 365,434,760 182,717,380 91,358,690 45,679,345 137,038,036 68,519,018 34,259,509 102,778,528 51,389,264 25,694,632 12,847,316 6,423,658 3,211,829 9,635,488 4,817,744 2,408,872 1,204,436 602,218 301,109 903,328 451,664 225,832 112,916 56,458 28,229 84,688 42,344 21,172 10,586 5,293 15,880 7,940 3,970 1,985 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419

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