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Atlas › Integer Profiles › Node 9,727,480

9,727,480

23 × 5 × 73 × 709
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 7^3 × 709
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 25,560,000
Proper Divisor Sum 15,832,520
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9727463 ← → #9727489

Radix Representation

Decimal 9727480
Binary 100101000110110111111000 (24 bits)
Octal 0o45066770
Hexadecimal 0x946DF8

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 709 980 1,372 1,418 1,715 1,960 2,744 2,836 3,430 3,545 4,963 5,672 6,860 7,090 9,926 13,720 14,180 19,852 24,815 28,360 34,741 39,704 49,630 69,482 99,260 138,964 173,705 198,520 243,187 277,928 347,410 486,374 694,820 972,748 1,215,935 1,389,640

Collatz Trajectory (181 steps to reach 1)

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

9,727,480 4,863,740 2,431,870 1,215,935 3,647,806 1,823,903 5,471,710 2,735,855 8,207,566 4,103,783 12,311,350 6,155,675 18,467,026 9,233,513 27,700,540 13,850,270 6,925,135 20,775,406 10,387,703 31,163,110 15,581,555 46,744,666 23,372,333 70,117,000 35,058,500 17,529,250 8,764,625 26,293,876 13,146,938 6,573,469 19,720,408 9,860,204 4,930,102 2,465,051 7,395,154 3,697,577 11,092,732 5,546,366 2,773,183 8,319,550 4,159,775 12,479,326 6,239,663 18,718,990 9,359,495 28,078,486 14,039,243 42,117,730 21,058,865 63,176,596 31,588,298 15,794,149 47,382,448 23,691,224 11,845,612 5,922,806 2,961,403 8,884,210 4,442,105 13,326,316

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