λ
Ratio Atlas

73,674,075

3 × 52 × 982321
Deficient Odd Composite

73,674,075 factors as 3 × 5^2 × 982321. Its 12 positive divisors give a proper-divisor sum of 48,133,853, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 982321
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 121,807,928
Proper Divisor Sum 48,133,853
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #73674061 ← → #73674091

Radix Representation

Decimal 73674075
Binary 100011001000010110101011011 (27 bits)
Octal 0o431026533
Hexadecimal 0x4642D5B

Divisor Catalog (12)

Collatz Trajectory (166 steps to reach 1)

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

73,674,075 221,022,226 110,511,113 331,533,340 165,766,670 82,883,335 248,650,006 124,325,003 372,975,010 186,487,505 559,462,516 279,731,258 139,865,629 419,596,888 209,798,444 104,899,222 52,449,611 157,348,834 78,674,417 236,023,252 118,011,626 59,005,813 177,017,440 88,508,720 44,254,360 22,127,180 11,063,590 5,531,795 16,595,386 8,297,693 24,893,080 12,446,540 6,223,270 3,111,635 9,334,906 4,667,453 14,002,360 7,001,180 3,500,590 1,750,295 5,250,886 2,625,443 7,876,330 3,938,165 11,814,496 5,907,248 2,953,624 1,476,812 738,406 369,203 1,107,610 553,805 1,661,416 830,708 415,354 207,677 623,032 311,516 155,758 77,879

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