10231
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11032
- Proper Divisor Sum (Aliquot Sum)
- 801
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9432
- Möbius Function
- 1
- Radical
- 10231
- Omega Function (Ω)
- 2
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 60
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Number of symmetry sites in all planted 3-trees with n nodes.at n=15A007136
- Number of partitions in parts not of the form 19k, 19k+3 or 19k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=37A035972
- Decimal expansion of a(n) is given by the first n terms of the periodic sequence with initial period 1,0,2,3.at n=4A037680
- Numbers k such that k | 5^k + 4^k + 3^k + 2^k.at n=16A057249
- Coefficients of monic irreducible polynomials over GF(4) listed in lexicographic order.at n=36A058948
- Centered 22-gonal numbers.at n=30A069173
- a(1) = 1; then the smallest number such that both the forward and reverse n-th partial concatenation is a prime for n > 1. (Reverse concatenation is taken term-wise and not digit-wise.)at n=29A083992
- Floor (e^(n / log(n))).at n=30A096181
- Each digit of a(n) appears in a(n+1) and a(n+1) > a(n) is minimal.at n=39A107411
- Quaternary emirpimes.at n=24A114015
- Numbers k such that the digits of sigma(k) are a permutation of those of k, in base 10.at n=17A115920
- The digits of pi(n)=A000720(n) are obtained by adding pairs of adjacent digits of n.at n=9A116070
- A123896 sorted and duplicates removed.at n=33A123902
- a(n) = 10*2^(n-1) - 9.at n=10A139634
- Number of n X n binary arrays symmetric about main diagonal with all ones connected only in a 01000-11111-00010 pattern in any orientation.at n=12A147014
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 01000-11111-00010 pattern in any orientation.at n=26A147016
- Number of n X n binary arrays symmetric about the diagonal and under 90 degree rotation with all ones connected only in a 01000-11111-00010 pattern in any orientation.at n=27A147016
- Number of (n+1) X 2 0..2 arrays with equal numbers of 2 X 2 subblocks with sum over 4 and with sum under 4.at n=3A183740
- Number of (n+1) X 5 0..2 arrays with equal numbers of 2 X 2 subblocks with sum over 4 and with sum under 4.at n=0A183743
- T(n,k) = number of (n+1) X (k+1) 0..2 arrays with equal numbers of 2 X 2 subblocks with sum over 4 and with sum under 4.at n=6A183748