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Atlas › Integer Profiles › Node 3,040,263

3,040,263

32 × 17 × 31 × 641
Deficient Odd Composite

3,040,263 factors as 3^2 × 17 × 31 × 641. Its 24 positive divisors give a proper-divisor sum of 1,767,033, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 3^2 × 17 × 31 × 641
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,807,296
Proper Divisor Sum 1,767,033
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3040249 ← → #3040267

Radix Representation

Decimal 3040263
Binary 1011100110010000000111 (22 bits)
Octal 0o13462007
Hexadecimal 0x2E6407

Divisor Catalog (24)

1 3 9 17 31 51 93 153 279 527 641 1,581 1,923 4,743 5,769 10,897 19,871 32,691 59,613 98,073 178,839 337,807 1,013,421 3,040,263

Collatz Trajectory (138 steps to reach 1)

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

3,040,263 9,120,790 4,560,395 13,681,186 6,840,593 20,521,780 10,260,890 5,130,445 15,391,336 7,695,668 3,847,834 1,923,917 5,771,752 2,885,876 1,442,938 721,469 2,164,408 1,082,204 541,102 270,551 811,654 405,827 1,217,482 608,741 1,826,224 913,112 456,556 228,278 114,139 342,418 171,209 513,628 256,814 128,407 385,222 192,611 577,834 288,917 866,752 433,376 216,688 108,344 54,172 27,086 13,543 40,630 20,315 60,946 30,473 91,420 45,710 22,855 68,566 34,283 102,850 51,425 154,276 77,138 38,569 115,708

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