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Atlas › Integer Profiles › Node 73,799,836

73,799,836

22 × 112 × 41 × 3719
Deficient Even Composite

73,799,836 factors as 2^2 × 11^2 × 41 × 3719. Its 36 positive divisors give a proper-divisor sum of 71,659,604, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2^2 × 11^2 × 41 × 3719
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 145,459,440
Proper Divisor Sum 71,659,604
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #73799833 ← → #73799879

Radix Representation

Decimal 73799836
Binary 100011001100001100010011100 (27 bits)
Octal 0o431414234
Hexadecimal 0x466189C

Divisor Catalog (36)

1 2 4 11 22 41 44 82 121 164 242 451 484 902 1,804 3,719 4,961 7,438 9,922 14,876 19,844 40,909 81,818 152,479 163,636 304,958 449,999 609,916 899,998 1,677,269 1,799,996 3,354,538 6,709,076 18,449,959 36,899,918 73,799,836

Collatz Trajectory (197 steps to reach 1)

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

73,799,836 36,899,918 18,449,959 55,349,878 27,674,939 83,024,818 41,512,409 124,537,228 62,268,614 31,134,307 93,402,922 46,701,461 140,104,384 70,052,192 35,026,096 17,513,048 8,756,524 4,378,262 2,189,131 6,567,394 3,283,697 9,851,092 4,925,546 2,462,773 7,388,320 3,694,160 1,847,080 923,540 461,770 230,885 692,656 346,328 173,164 86,582 43,291 129,874 64,937 194,812 97,406 48,703 146,110 73,055 219,166 109,583 328,750 164,375 493,126 246,563 739,690 369,845 1,109,536 554,768 277,384 138,692 69,346 34,673 104,020 52,010 26,005 78,016

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