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Atlas › Integer Profiles › Node 9,704,920

9,704,920

23 × 5 × 331 × 733
Abundant Even Composite

9,704,920 factors as 2^3 × 5 × 331 × 733. Its 32 positive divisors give a proper-divisor sum of 12,227,000, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 331 × 733
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,931,920
Proper Divisor Sum 12,227,000
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9704911 ← → #9704923

Radix Representation

Decimal 9704920
Binary 100101000001010111011000 (24 bits)
Octal 0o45012730
Hexadecimal 0x9415D8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 331 662 733 1,324 1,466 1,655 2,648 2,932 3,310 3,665 5,864 6,620 7,330 13,240 14,660 29,320 242,623 485,246 970,492 1,213,115 1,940,984 2,426,230 4,852,460 9,704,920

Collatz Trajectory (207 steps to reach 1)

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

9,704,920 4,852,460 2,426,230 1,213,115 3,639,346 1,819,673 5,459,020 2,729,510 1,364,755 4,094,266 2,047,133 6,141,400 3,070,700 1,535,350 767,675 2,303,026 1,151,513 3,454,540 1,727,270 863,635 2,590,906 1,295,453 3,886,360 1,943,180 971,590 485,795 1,457,386 728,693 2,186,080 1,093,040 546,520 273,260 136,630 68,315 204,946 102,473 307,420 153,710 76,855 230,566 115,283 345,850 172,925 518,776 259,388 129,694 64,847 194,542 97,271 291,814 145,907 437,722 218,861 656,584 328,292 164,146 82,073 246,220 123,110 61,555

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