λ
Ratio Atlas
Atlas › Integer Profiles › Node 83,040,993

83,040,993

32 × 7 × 1021 × 1291
Deficient Odd Composite

83,040,993 factors as 3^2 × 7 × 1021 × 1291. Its 24 positive divisors give a proper-divisor sum of 54,283,103, so this integer is deficient. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 1021 × 1291
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 137,324,096
Proper Divisor Sum 54,283,103
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #83040977 ← → #83041019

Radix Representation

Decimal 83040993
Binary 100111100110001101011100001 (27 bits)
Octal 0o474615341
Hexadecimal 0x4F31AE1

Divisor Catalog (24)

1 3 7 9 21 63 1,021 1,291 3,063 3,873 7,147 9,037 9,189 11,619 21,441 27,111 64,323 81,333 1,318,111 3,954,333 9,226,777 11,862,999 27,680,331 83,040,993

Collatz Trajectory (223 steps to reach 1)

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

83,040,993 249,122,980 124,561,490 62,280,745 186,842,236 93,421,118 46,710,559 140,131,678 70,065,839 210,197,518 105,098,759 315,296,278 157,648,139 472,944,418 236,472,209 709,416,628 354,708,314 177,354,157 532,062,472 266,031,236 133,015,618 66,507,809 199,523,428 99,761,714 49,880,857 149,642,572 74,821,286 37,410,643 112,231,930 56,115,965 168,347,896 84,173,948 42,086,974 21,043,487 63,130,462 31,565,231 94,695,694 47,347,847 142,043,542 71,021,771 213,065,314 106,532,657 319,597,972 159,798,986 79,899,493 239,698,480 119,849,240 59,924,620 29,962,310 14,981,155 44,943,466 22,471,733 67,415,200 33,707,600 16,853,800 8,426,900 4,213,450 2,106,725 6,320,176 3,160,088

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #83,040,992 Browse Full Index Next Integer #83,040,994 →