9400
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
- 24
- Divisor Sum
- 22320
- Proper Divisor Sum (Aliquot Sum)
- 12920
- 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
- 3680
- Möbius Function
- 0
- Radical
- 470
- Omega Function (Ω)
- 6
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 122
- 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
- a(n) = 10*n^3 - 6*n^2.at n=10A006592
- 14-gonal (or tetradecagonal) numbers: a(n) = n*(6*n-5).at n=40A051866
- Numbers k such that 20*R_k + 9 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=9A056678
- Row sums in A100781.at n=19A100784
- Number of partitions of n having positive odd rank (the rank of a partition is the largest part minus the number of parts).at n=40A101707
- 1-digit squares with their digits reversed, then 2-digit squares, ...at n=46A112401
- Record values in A132601.at n=48A132603
- First bisection of A061039.at n=47A144448
- Terms of A061039 that are multiple of 10, in the order in which they appear.at n=19A146762
- Number of zig-zag paths from top to bottom of a rectangle of width 9 with n rows.at n=11A153362
- Number of zig-zag paths from top to bottom of a rectangle of width 9 with n rows whose color is that of the top right corner.at n=12A153363
- Number of zig-zag paths from top to bottom of a rectangle of width 9 with 2*n-1 rows whose color is that of the top right corner.at n=6A153366
- Numbers that have an "a" in the middle of their names in Spanish.at n=38A160775
- a(n) = (2*n^3 + 9*n^2 + n + 24) / 6.at n=29A160805
- a(n) = 94*n^2.at n=10A174337
- Number of distinct solutions of sum{i=1..2}(x(2i-1)*x(2i)) = 0 (mod n), with x() in 0..n-1.at n=37A180794
- Number of -3..3 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^(t+u+v)) having three, four, six or seven distinct values for every i,j,k<=n.at n=5A211739
- Numbers k such that if x = k - phi(k) then k = sigma(x) - x, where phi(k) is the Euler totient function.at n=12A239802
- Number of partitions of n such that the multiplicity of 2*(number of parts) is a part.at n=56A240500
- Numbers n such that the smallest prime divisor of n^2+1 is 89.at n=36A248551