9031
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9864
- Proper Divisor Sum (Aliquot Sum)
- 833
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8200
- Möbius Function
- 1
- Radical
- 9031
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 184
- Smith Number
- yes
- 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
- a(n) = 10000*log_10(n) rounded to the nearest integer.at n=7A004229
- a(n) = 10000*log_10(n) rounded up.at n=7A004230
- From a problem concerning circulant matrices and Gauss sums.at n=6A007792
- a(n) = 7^n - 6^n.at n=5A016169
- Pseudoprimes to base 51.at n=31A020179
- Numbers k such that the continued fraction for sqrt(k) has period 98.at n=5A020437
- Positive numbers k such that k = x^5 + y^5 has a solution in nonzero integers x, y.at n=34A020896
- a(n) = (n+1)^5 - n^5.at n=6A022521
- Numbers with exactly 7 1's in their ternary expansion.at n=31A023698
- a(n) = number of (s(0), s(1), ..., s(n)) such that s(i) is a nonnegative integer and |s(i) - s(i-1)| <= 1 for i = 1,2,...,n, s(0) = 2, s(n) = 6. Also a(n) = T(n,n-4), where T is the array in A026323.at n=7A026329
- Expansion of (1+x^2-x^3)/(1-x)^4.at n=35A027378
- [ exp(7/12)*n! ].at n=6A030935
- Digit sum of 'odd' number equals digit sum of 'sum' and 'juxtaposition' of its prime factors (counted with multiplicity).at n=42A036927
- Sums of 7 distinct powers of 3.at n=16A038469
- (s(n)+1)/10, where s(n)=n-th base 10 palindrome that starts with 9.at n=25A043088
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/3 of the elements are <= n/3.at n=15A047194
- Square array of nexus numbers a(n,k) = (n+1)^(k+1) - n^(k+1) (n >= 0, k >= 0) read by upwards antidiagonals.at n=59A047969
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/3 of the elements are <= (n-1)/3.at n=15A048006
- Duplicate of A047194.at n=15A048039
- Centered 10-gonal numbers.at n=42A062786