9,747,016

2³ × 29 × 42013

9,747,016 factors as 2^3 × 29 × 42013. Its 16 positive divisors give a proper-divisor sum of 9,159,284, so this integer is deficient. The Collatz stopping time is 357 steps.

Prime Factor Structure

Factorization String 2^3 × 29 × 42013

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,906,300

Proper Divisor Sum 9,159,284

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9746999 ← → #9747029

Radix Representation

Decimal	9747016
Binary	100101001011101001001000 (24 bits)
Octal	0o45135110
Hexadecimal	0x94BA48

Divisor Catalog (16)

1 2 4 8 29 58 116 232 42,013 84,026 168,052 336,104 1,218,377 2,436,754 4,873,508 9,747,016

Collatz Trajectory (357 steps to reach 1)

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

9,747,016 4,873,508 2,436,754 1,218,377 3,655,132 1,827,566 913,783 2,741,350 1,370,675 4,112,026 2,056,013 6,168,040 3,084,020 1,542,010 771,005 2,313,016 1,156,508 578,254 289,127 867,382 433,691 1,301,074 650,537 1,951,612 975,806 487,903 1,463,710 731,855 2,195,566 1,097,783 3,293,350 1,646,675 4,940,026 2,470,013 7,410,040 3,705,020 1,852,510 926,255 2,778,766 1,389,383 4,168,150 2,084,075 6,252,226 3,126,113 9,378,340 4,689,170 2,344,585 7,033,756 3,516,878 1,758,439 5,275,318 2,637,659 7,912,978 3,956,489 11,869,468 5,934,734 2,967,367 8,902,102 4,451,051 13,353,154

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