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Atlas › Integer Profiles › Node 9,768,708

9,768,708

22 × 33 × 29 × 3119
Abundant Even Composite

9,768,708 factors as 2^2 × 3^3 × 29 × 3119. Its 48 positive divisors give a proper-divisor sum of 16,439,292, so this integer is abundant. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 29 × 3119
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,208,000
Proper Divisor Sum 16,439,292
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9768683 ← → #9768709

Radix Representation

Decimal 9768708
Binary 100101010000111100000100 (24 bits)
Octal 0o45207404
Hexadecimal 0x950F04

Divisor Catalog (48)

1 2 3 4 6 9 12 18 27 29 36 54 58 87 108 116 174 261 348 522 783 1,044 1,566 3,119 3,132 6,238 9,357 12,476 18,714 28,071 37,428 56,142 84,213 90,451 112,284 168,426 180,902 271,353 336,852 361,804 542,706 814,059 1,085,412 1,628,118 2,442,177 3,256,236 4,884,354 9,768,708

Collatz Trajectory (62 steps to reach 1)

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

9,768,708 4,884,354 2,442,177 7,326,532 3,663,266 1,831,633 5,494,900 2,747,450 1,373,725 4,121,176 2,060,588 1,030,294 515,147 1,545,442 772,721 2,318,164 1,159,082 579,541 1,738,624 869,312 434,656 217,328 108,664 54,332 27,166 13,583 40,750 20,375 61,126 30,563 91,690 45,845 137,536 68,768 34,384 17,192 8,596 4,298 2,149 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8

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