10233
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 15200
- Proper Divisor Sum (Aliquot Sum)
- 4967
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6804
- Möbius Function
- 0
- Radical
- 1137
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 179
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- From a nim-like game.at n=33A003412
- 11*n^2 + 11*n + 3.at n=30A006222
- Generalized Fibonacci numbers: a(n) = a(n-1) + 8*a(n-2).at n=8A015443
- Numbers k such that k | 11^k + 1.at n=18A015960
- Positive numbers k such that k and 3*k are anagrams in base 4 (written in base 4).at n=4A023060
- Positive numbers k such that k and 3*k are anagrams in base 7 (written in base 7).at n=12A023069
- Numbers n such that n | 11^n + 9^n + 7^n + 5^n + 3^n + 1.at n=22A057832
- Coefficients of monic irreducible polynomials over GF(4) listed in lexicographic order.at n=37A058948
- Coefficients of monic primitive irreducible polynomials over GF(4) listed in lexicographic order.at n=22A058952
- Numbers n such that n | 9^n + 7^n + 5^n + 3^n.at n=18A063455
- Average of terms of n-th row of A077321.at n=37A077325
- Each digit of a(n) appears in a(n+1) and a(n+1) > a(n) is minimal.at n=41A107411
- Quaternary emirpimes.at n=26A114015
- Smallest number k such that k^n is equal to the sum of n consecutive primes, or 1 if it does not exist.at n=26A123112
- Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 01000-11111-01000 pattern in any orientation.at n=12A147022
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 01000-11111-01000 pattern in any orientation.at n=27A147024
- a(n) = (4*n + 1)^(1/2)/(4*n + 1)*((1 - p)*q^n - (1 - q)*p^n), where p = (1 - (4*n + 1)^(1/2))/2 and q = (1 + (4*n + 1)^(1/2))/2.at n=7A171180
- Sum of odd quadratic residues of prime(n).at n=61A232505
- Number of (n+1) X (1+1) 0..2 arrays with the upper median plus the lower median of every 2 X 2 subblock equal.at n=4A236739
- Number of (n+1)X(5+1) 0..2 arrays with the upper median plus the lower median of every 2X2 subblock equal.at n=0A236743