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Atlas › Integer Profiles › Node 9,851,840

9,851,840

26 × 5 × 17 × 1811
Abundant Even Composite

9,851,840 factors as 2^6 × 5 × 17 × 1811. Its 56 positive divisors give a proper-divisor sum of 15,001,552, so this integer is abundant. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^6 × 5 × 17 × 1811
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 24,853,392
Proper Divisor Sum 15,001,552
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9851837 ← → #9851867

Radix Representation

Decimal 9851840
Binary 100101100101001111000000 (24 bits)
Octal 0o45451700
Hexadecimal 0x9653C0

Divisor Catalog (56)

1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1,088 1,360 1,811 2,720 3,622 5,440 7,244 9,055 14,488 18,110 28,976 30,787 36,220 57,952 61,574 72,440 115,904 123,148 144,880 153,935 246,296 289,760 307,870 492,592 579,520 615,740 985,184 1,231,480 1,970,368 2,462,960 4,925,920 9,851,840

Collatz Trajectory (163 steps to reach 1)

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

9,851,840 4,925,920 2,462,960 1,231,480 615,740 307,870 153,935 461,806 230,903 692,710 346,355 1,039,066 519,533 1,558,600 779,300 389,650 194,825 584,476 292,238 146,119 438,358 219,179 657,538 328,769 986,308 493,154 246,577 739,732 369,866 184,933 554,800 277,400 138,700 69,350 34,675 104,026 52,013 156,040 78,020 39,010 19,505 58,516 29,258 14,629 43,888 21,944 10,972 5,486 2,743 8,230 4,115 12,346 6,173 18,520 9,260 4,630 2,315 6,946 3,473 10,420

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