9,723,016

2³ × 73 × 16649

9,723,016 factors as 2^3 × 73 × 16649. Its 16 positive divisors give a proper-divisor sum of 8,758,484, so this integer is deficient. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2^3 × 73 × 16649

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,481,500

Proper Divisor Sum 8,758,484

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #9723013 ← → #9723017

Radix Representation

Decimal	9723016
Binary	100101000101110010001000 (24 bits)
Octal	0o45056210
Hexadecimal	0x945C88

Divisor Catalog (16)

1 2 4 8 73 146 292 584 16,649 33,298 66,596 133,192 1,215,377 2,430,754 4,861,508 9,723,016

Collatz Trajectory (70 steps to reach 1)

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

9,723,016 4,861,508 2,430,754 1,215,377 3,646,132 1,823,066 911,533 2,734,600 1,367,300 683,650 341,825 1,025,476 512,738 256,369 769,108 384,554 192,277 576,832 288,416 144,208 72,104 36,052 18,026 9,013 27,040 13,520 6,760 3,380 1,690 845 2,536 1,268 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52

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