9,613,752

2³ × 3 × 397 × 1009

9,613,752 has the prime decomposition 2^3 × 3 × 397 × 1009. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 397 × 1009

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 24,118,800

Proper Divisor Sum 14,505,048

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9613739 ← → #9613757

Radix Representation

Decimal	9613752
Binary	100100101011000110111000 (24 bits)
Octal	0o44530670
Hexadecimal	0x92B1B8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 397 794 1,009 1,191 1,588 2,018 2,382 3,027 3,176 4,036 4,764 6,054 8,072 9,528 12,108 24,216 400,573 801,146 1,201,719 1,602,292 2,403,438 3,204,584 4,806,876 9,613,752

Collatz Trajectory (101 steps to reach 1)

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

9,613,752 4,806,876 2,403,438 1,201,719 3,605,158 1,802,579 5,407,738 2,703,869 8,111,608 4,055,804 2,027,902 1,013,951 3,041,854 1,520,927 4,562,782 2,281,391 6,844,174 3,422,087 10,266,262 5,133,131 15,399,394 7,699,697 23,099,092 11,549,546 5,774,773 17,324,320 8,662,160 4,331,080 2,165,540 1,082,770 541,385 1,624,156 812,078 406,039 1,218,118 609,059 1,827,178 913,589 2,740,768 1,370,384 685,192 342,596 171,298 85,649 256,948 128,474 64,237 192,712 96,356 48,178 24,089 72,268 36,134 18,067 54,202 27,101 81,304 40,652 20,326 10,163

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