λ
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Atlas › Integer Profiles › Node 9,735,286

9,735,286

2 × 11 × 41 × 43 × 251
Deficient Even Composite

9,735,286 factors as 2 × 11 × 41 × 43 × 251. Its 32 positive divisors give a proper-divisor sum of 7,029,770, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2 × 11 × 41 × 43 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,765,056
Proper Divisor Sum 7,029,770
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9735283 ← → #9735311

Radix Representation

Decimal 9735286
Binary 100101001000110001110110 (24 bits)
Octal 0o45106166
Hexadecimal 0x948C76

Divisor Catalog (32)

1 2 11 22 41 43 82 86 251 451 473 502 902 946 1,763 2,761 3,526 5,522 10,291 10,793 19,393 20,582 21,586 38,786 113,201 118,723 226,402 237,446 442,513 885,026 4,867,643 9,735,286

Collatz Trajectory (119 steps to reach 1)

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

9,735,286 4,867,643 14,602,930 7,301,465 21,904,396 10,952,198 5,476,099 16,428,298 8,214,149 24,642,448 12,321,224 6,160,612 3,080,306 1,540,153 4,620,460 2,310,230 1,155,115 3,465,346 1,732,673 5,198,020 2,599,010 1,299,505 3,898,516 1,949,258 974,629 2,923,888 1,461,944 730,972 365,486 182,743 548,230 274,115 822,346 411,173 1,233,520 616,760 308,380 154,190 77,095 231,286 115,643 346,930 173,465 520,396 260,198 130,099 390,298 195,149 585,448 292,724 146,362 73,181 219,544 109,772 54,886 27,443 82,330 41,165 123,496 61,748

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