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Atlas › Integer Profiles › Node 9,707,096

9,707,096

23 × 72 × 24763
Abundant Even Composite

9,707,096 factors as 2^3 × 7^2 × 24763. Its 24 positive divisors give a proper-divisor sum of 11,466,124, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 24763
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,173,220
Proper Divisor Sum 11,466,124
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9707063 ← → #9707111

Radix Representation

Decimal 9707096
Binary 100101000001111001011000 (24 bits)
Octal 0o45017130
Hexadecimal 0x941E58

Divisor Catalog (24)

1 2 4 7 8 14 28 49 56 98 196 392 24,763 49,526 99,052 173,341 198,104 346,682 693,364 1,213,387 1,386,728 2,426,774 4,853,548 9,707,096

Collatz Trajectory (207 steps to reach 1)

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

9,707,096 4,853,548 2,426,774 1,213,387 3,640,162 1,820,081 5,460,244 2,730,122 1,365,061 4,095,184 2,047,592 1,023,796 511,898 255,949 767,848 383,924 191,962 95,981 287,944 143,972 71,986 35,993 107,980 53,990 26,995 80,986 40,493 121,480 60,740 30,370 15,185 45,556 22,778 11,389 34,168 17,084 8,542 4,271 12,814 6,407 19,222 9,611 28,834 14,417 43,252 21,626 10,813 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711

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