9,945,013

13 × 61 × 12541

9,945,013 factors as 13 × 61 × 12541. Its 8 positive divisors give a proper-divisor sum of 941,443, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 13 × 61 × 12541

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,886,456

Proper Divisor Sum 941,443

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9944953 ← → #9945043

Radix Representation

Decimal	9945013
Binary	100101111011111110110101 (24 bits)
Octal	0o45737665
Hexadecimal	0x97BFB5

Divisor Catalog (8)

1 13 61 793 12,541 163,033 765,001 9,945,013

Collatz Trajectory (145 steps to reach 1)

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

9,945,013 29,835,040 14,917,520 7,458,760 3,729,380 1,864,690 932,345 2,797,036 1,398,518 699,259 2,097,778 1,048,889 3,146,668 1,573,334 786,667 2,360,002 1,180,001 3,540,004 1,770,002 885,001 2,655,004 1,327,502 663,751 1,991,254 995,627 2,986,882 1,493,441 4,480,324 2,240,162 1,120,081 3,360,244 1,680,122 840,061 2,520,184 1,260,092 630,046 315,023 945,070 472,535 1,417,606 708,803 2,126,410 1,063,205 3,189,616 1,594,808 797,404 398,702 199,351 598,054 299,027 897,082 448,541 1,345,624 672,812 336,406 168,203 504,610 252,305 756,916 378,458

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