λ
Ratio Atlas

73,044,979

7 × 10434997
Deficient Odd Composite

73,044,979 factors as 7 × 10434997. Its 4 positive divisors give a proper-divisor sum of 10,435,005, so this integer is deficient. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 7 × 10434997
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 83,479,984
Proper Divisor Sum 10,435,005
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #73044967 ← → #73044991

Radix Representation

Decimal 73044979
Binary 100010110101001001111110011 (27 bits)
Octal 0o426511763
Hexadecimal 0x45A93F3

Divisor Catalog (4)

Collatz Trajectory (171 steps to reach 1)

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

73,044,979 219,134,938 109,567,469 328,702,408 164,351,204 82,175,602 41,087,801 123,263,404 61,631,702 30,815,851 92,447,554 46,223,777 138,671,332 69,335,666 34,667,833 104,003,500 52,001,750 26,000,875 78,002,626 39,001,313 117,003,940 58,501,970 29,250,985 87,752,956 43,876,478 21,938,239 65,814,718 32,907,359 98,722,078 49,361,039 148,083,118 74,041,559 222,124,678 111,062,339 333,187,018 166,593,509 499,780,528 249,890,264 124,945,132 62,472,566 31,236,283 93,708,850 46,854,425 140,563,276 70,281,638 35,140,819 105,422,458 52,711,229 158,133,688 79,066,844 39,533,422 19,766,711 59,300,134 29,650,067 88,950,202 44,475,101 133,425,304 66,712,652 33,356,326 16,678,163

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