9140
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 19236
- Proper Divisor Sum (Aliquot Sum)
- 10096
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3648
- Möbius Function
- 0
- Radical
- 4570
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- 34
- 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
- yes
- Odd
- no
Appears in sequences
- Sum of rows of triangle defined in A001404.at n=11A001410
- Numbers k that divide 4^k + 4.at n=13A015889
- a(n) = Sum_{k=1..n} k*[ (n/k)*[ n/k ] ].at n=47A024932
- a(n) = [ 2nd elementary symmetric function of {log(k)} ], k = 2,3,...,n.at n=44A025202
- Values of A038007 not ending in 6 or 8.at n=13A038009
- a(n) = n*(n^2 - 6*n + 11)/6.at n=40A050407
- Sum of a(n) terms of 1/k^(5/6) first exceeds n.at n=22A056181
- Number of collinear triples in a 3 X n rectangular grid.at n=27A057566
- Coefficients in expansion of Sum_{n >= 1} x^n/(1-x^n)^4.at n=37A059358
- Numbers k that divide phi(k)^2 + sigma(k)^2.at n=25A068484
- Centered 13-gonal numbers.at n=37A069126
- a(n+1) = a(n)+greatest prime divisor of a(n-1).at n=42A078695
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={2}.at n=16A079969
- Number of n-celled polyominoes with exactly 5 holes.at n=21A089457
- a(n) = n^3 + 6*n^2 + 6*n + 1.at n=19A090197
- Structured tetragonal anti-prism numbers.at n=19A100182
- Slowest increasing sequence where the absolute difference between the last digit of a(n) and the first digit of a(n+1) equals 9.at n=26A101243
- k's first occurrence in A102932.at n=47A101255
- Antidiagonal sums of triangle A123610.at n=14A123612
- Number of distinct values taken by the entropy for permutations of [1..n], where the entropy of a permutation pi is Sum_{k=1..n} (pi(k)-k)^2.at n=38A126972