73,741,529

17² × 31 × 8231

73,741,529 factors as 17^2 × 31 × 8231. Its 12 positive divisors give a proper-divisor sum of 7,129,639, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 17^2 × 31 × 8231

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 80,871,168

Proper Divisor Sum 7,129,639

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #73741501 ← → #73741531

Radix Representation

Decimal	73741529
Binary	100011001010011010011011001 (27 bits)
Octal	0o431232331
Hexadecimal	0x46534D9

Divisor Catalog (12)

1 17 31 289 527 8,231 8,959 139,927 255,161 2,378,759 4,337,737 73,741,529

Collatz Trajectory (189 steps to reach 1)

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

73,741,529 221,224,588 110,612,294 55,306,147 165,918,442 82,959,221 248,877,664 124,438,832 62,219,416 31,109,708 15,554,854 7,777,427 23,332,282 11,666,141 34,998,424 17,499,212 8,749,606 4,374,803 13,124,410 6,562,205 19,686,616 9,843,308 4,921,654 2,460,827 7,382,482 3,691,241 11,073,724 5,536,862 2,768,431 8,305,294 4,152,647 12,457,942 6,228,971 18,686,914 9,343,457 28,030,372 14,015,186 7,007,593 21,022,780 10,511,390 5,255,695 15,767,086 7,883,543 23,650,630 11,825,315 35,475,946 17,737,973 53,213,920 26,606,960 13,303,480 6,651,740 3,325,870 1,662,935 4,988,806 2,494,403 7,483,210 3,741,605 11,224,816 5,612,408 2,806,204

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