λ
Ratio Atlas

80,964,229

80964229
Deficient Odd Prime

80,964,229 factors as 80964229. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 285 steps.

Prime Factor Structure

Factorization String 80964229
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 80,964,230
Proper Divisor Sum 1
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #80964223 ← → #80964239

Radix Representation

Decimal 80964229
Binary 100110100110110101010000101 (27 bits)
Octal 0o464665205
Hexadecimal 0x4D36A85

Divisor Catalog (2)

Collatz Trajectory (285 steps to reach 1)

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

80,964,229 242,892,688 121,446,344 60,723,172 30,361,586 15,180,793 45,542,380 22,771,190 11,385,595 34,156,786 17,078,393 51,235,180 25,617,590 12,808,795 38,426,386 19,213,193 57,639,580 28,819,790 14,409,895 43,229,686 21,614,843 64,844,530 32,422,265 97,266,796 48,633,398 24,316,699 72,950,098 36,475,049 109,425,148 54,712,574 27,356,287 82,068,862 41,034,431 123,103,294 61,551,647 184,654,942 92,327,471 276,982,414 138,491,207 415,473,622 207,736,811 623,210,434 311,605,217 934,815,652 467,407,826 233,703,913 701,111,740 350,555,870 175,277,935 525,833,806 262,916,903 788,750,710 394,375,355 1,183,126,066 591,563,033 1,774,689,100 887,344,550 443,672,275 1,331,016,826 665,508,413

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