λ
Ratio Atlas

80,970,917

829 × 97673
Deficient Odd Composite

80,970,917 factors as 829 × 97673. Its 4 positive divisors give a proper-divisor sum of 98,503, so this integer is deficient. The Collatz stopping time is 254 steps.

Prime Factor Structure

Factorization String 829 × 97673
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 81,069,420
Proper Divisor Sum 98,503
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #80970887 ← → #80970919

Radix Representation

Decimal 80970917
Binary 100110100111000010010100101 (27 bits)
Octal 0o464702245
Hexadecimal 0x4D384A5

Divisor Catalog (4)

Collatz Trajectory (254 steps to reach 1)

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

80,970,917 242,912,752 121,456,376 60,728,188 30,364,094 15,182,047 45,546,142 22,773,071 68,319,214 34,159,607 102,478,822 51,239,411 153,718,234 76,859,117 230,577,352 115,288,676 57,644,338 28,822,169 86,466,508 43,233,254 21,616,627 64,849,882 32,424,941 97,274,824 48,637,412 24,318,706 12,159,353 36,478,060 18,239,030 9,119,515 27,358,546 13,679,273 41,037,820 20,518,910 10,259,455 30,778,366 15,389,183 46,167,550 23,083,775 69,251,326 34,625,663 103,876,990 51,938,495 155,815,486 77,907,743 233,723,230 116,861,615 350,584,846 175,292,423 525,877,270 262,938,635 788,815,906 394,407,953 1,183,223,860 591,611,930 295,805,965 887,417,896 443,708,948 221,854,474 110,927,237

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