λ
Math Directory

9,175,478

2 × 13 × 17 × 20759
Deficient Even Composite

9,175,478 factors as 2 × 13 × 17 × 20759. Its 16 positive divisors give a proper-divisor sum of 6,519,082, so this integer is deficient. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2 × 13 × 17 × 20759
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,694,560
Proper Divisor Sum 6,519,082
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9175477 ← → #9175501

Radix Representation

Decimal 9175478
Binary 100011000000000110110110 (24 bits)
Octal 0o43000666
Hexadecimal 0x8C01B6

Divisor Catalog (16)

1 2 13 17 26 34 221 442 20,759 41,518 269,867 352,903 539,734 705,806 4,587,739 9,175,478

Collatz Trajectory (132 steps to reach 1)

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

9,175,478 4,587,739 13,763,218 6,881,609 20,644,828 10,322,414 5,161,207 15,483,622 7,741,811 23,225,434 11,612,717 34,838,152 17,419,076 8,709,538 4,354,769 13,064,308 6,532,154 3,266,077 9,798,232 4,899,116 2,449,558 1,224,779 3,674,338 1,837,169 5,511,508 2,755,754 1,377,877 4,133,632 2,066,816 1,033,408 516,704 258,352 129,176 64,588 32,294 16,147 48,442 24,221 72,664 36,332 18,166 9,083 27,250 13,625 40,876 20,438 10,219 30,658 15,329 45,988 22,994 11,497 34,492 17,246 8,623 25,870 12,935 38,806 19,403 58,210

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