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Atlas › Integer Profiles › Node 9,754,498

9,754,498

2 × 13 × 17 × 29 × 761
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 17 × 29 × 761
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,282,160
Proper Divisor Sum 7,527,662
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #9754471 ← → #9754513

Radix Representation

Decimal 9754498
Binary 100101001101011110000010 (24 bits)
Octal 0o45153602
Hexadecimal 0x94D782

Divisor Catalog (32)

1 2 13 17 26 29 34 58 221 377 442 493 754 761 986 1,522 6,409 9,893 12,818 12,937 19,786 22,069 25,874 44,138 168,181 286,897 336,362 375,173 573,794 750,346 4,877,249 9,754,498

Collatz Trajectory (269 steps to reach 1)

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

9,754,498 4,877,249 14,631,748 7,315,874 3,657,937 10,973,812 5,486,906 2,743,453 8,230,360 4,115,180 2,057,590 1,028,795 3,086,386 1,543,193 4,629,580 2,314,790 1,157,395 3,472,186 1,736,093 5,208,280 2,604,140 1,302,070 651,035 1,953,106 976,553 2,929,660 1,464,830 732,415 2,197,246 1,098,623 3,295,870 1,647,935 4,943,806 2,471,903 7,415,710 3,707,855 11,123,566 5,561,783 16,685,350 8,342,675 25,028,026 12,514,013 37,542,040 18,771,020 9,385,510 4,692,755 14,078,266 7,039,133 21,117,400 10,558,700 5,279,350 2,639,675 7,919,026 3,959,513 11,878,540 5,939,270 2,969,635 8,908,906 4,454,453 13,363,360

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