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Atlas › Integer Profiles › Node 9,788,296

9,788,296

23 × 7 × 103 × 1697
Abundant Even Composite

9,788,296 factors as 2^3 × 7 × 103 × 1697. Its 32 positive divisors give a proper-divisor sum of 11,402,744, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 103 × 1697
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,191,040
Proper Divisor Sum 11,402,744
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #9788293 ← → #9788297

Radix Representation

Decimal 9788296
Binary 100101010101101110001000 (24 bits)
Octal 0o45255610
Hexadecimal 0x955B88

Divisor Catalog (32)

1 2 4 7 8 14 28 56 103 206 412 721 824 1,442 1,697 2,884 3,394 5,768 6,788 11,879 13,576 23,758 47,516 95,032 174,791 349,582 699,164 1,223,537 1,398,328 2,447,074 4,894,148 9,788,296

Collatz Trajectory (88 steps to reach 1)

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

9,788,296 4,894,148 2,447,074 1,223,537 3,670,612 1,835,306 917,653 2,752,960 1,376,480 688,240 344,120 172,060 86,030 43,015 129,046 64,523 193,570 96,785 290,356 145,178 72,589 217,768 108,884 54,442 27,221 81,664 40,832 20,416 10,208 5,104 2,552 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732

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