λ
Integer Codex

561,291

3 × 223 × 839
Deficient Odd Composite

For 561,291, the 8 positive divisors have a total of 752,640. Removing 561,291 leaves 191,349, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 223 × 839
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 752,640
Proper Divisor Sum 191,349
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #561277 ← → #561307

Radix Representation

Decimal 561291
Binary 10001001000010001011 (20 bits)
Octal 0o2110213
Hexadecimal 0x8908B

Divisor Catalog (8)

1 3 223 669 839 2,517 187,097 561,291

Collatz Trajectory (159 steps to reach 1)

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

561,291 1,683,874 841,937 2,525,812 1,262,906 631,453 1,894,360 947,180 473,590 236,795 710,386 355,193 1,065,580 532,790 266,395 799,186 399,593 1,198,780 599,390 299,695 899,086 449,543 1,348,630 674,315 2,022,946 1,011,473 3,034,420 1,517,210 758,605 2,275,816 1,137,908 568,954 284,477 853,432 426,716 213,358 106,679 320,038 160,019 480,058 240,029 720,088 360,044 180,022 90,011 270,034 135,017 405,052 202,526 101,263 303,790 151,895 455,686 227,843 683,530 341,765 1,025,296 512,648 256,324 128,162

More profiles

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