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Atlas › Integer Profiles › Node 9,869,704

9,869,704

23 × 13 × 43 × 2207
Abundant Even Composite

9,869,704 factors as 2^3 × 13 × 43 × 2207. Its 32 positive divisors give a proper-divisor sum of 10,532,216, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 43 × 2207
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,401,920
Proper Divisor Sum 10,532,216
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9869701 ← → #9869711

Radix Representation

Decimal 9869704
Binary 100101101001100110001000 (24 bits)
Octal 0o45514610
Hexadecimal 0x969988

Divisor Catalog (32)

1 2 4 8 13 26 43 52 86 104 172 344 559 1,118 2,207 2,236 4,414 4,472 8,828 17,656 28,691 57,382 94,901 114,764 189,802 229,528 379,604 759,208 1,233,713 2,467,426 4,934,852 9,869,704

Collatz Trajectory (145 steps to reach 1)

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

9,869,704 4,934,852 2,467,426 1,233,713 3,701,140 1,850,570 925,285 2,775,856 1,387,928 693,964 346,982 173,491 520,474 260,237 780,712 390,356 195,178 97,589 292,768 146,384 73,192 36,596 18,298 9,149 27,448 13,724 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626

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