λ
Ratio Atlas

73,199,263

17 × 131 × 32869
Deficient Odd Composite

73,199,263 factors as 17 × 131 × 32869. Its 8 positive divisors give a proper-divisor sum of 4,899,857, so this integer is deficient. The Collatz stopping time is 334 steps.

Prime Factor Structure

Factorization String 17 × 131 × 32869
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 78,099,120
Proper Divisor Sum 4,899,857
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #73199261 ← → #73199279

Radix Representation

Decimal 73199263
Binary 100010111001110111010011111 (27 bits)
Octal 0o427167237
Hexadecimal 0x45CEE9F

Divisor Catalog (8)

Collatz Trajectory (334 steps to reach 1)

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

73,199,263 219,597,790 109,798,895 329,396,686 164,698,343 494,095,030 247,047,515 741,142,546 370,571,273 1,111,713,820 555,856,910 277,928,455 833,785,366 416,892,683 1,250,678,050 625,339,025 1,876,017,076 938,008,538 469,004,269 1,407,012,808 703,506,404 351,753,202 175,876,601 527,629,804 263,814,902 131,907,451 395,722,354 197,861,177 593,583,532 296,791,766 148,395,883 445,187,650 222,593,825 667,781,476 333,890,738 166,945,369 500,836,108 250,418,054 125,209,027 375,627,082 187,813,541 563,440,624 281,720,312 140,860,156 70,430,078 35,215,039 105,645,118 52,822,559 158,467,678 79,233,839 237,701,518 118,850,759 356,552,278 178,276,139 534,828,418 267,414,209 802,242,628 401,121,314 200,560,657 601,681,972

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