10425
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17360
- Proper Divisor Sum (Aliquot Sum)
- 6935
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5520
- Möbius Function
- 0
- Radical
- 2085
- 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
- 42
- 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
- Octahedral numbers: a(n) = n*(2*n^2 + 1)/3.at n=25A005900
- Fibonacci sequence beginning 5, 14.at n=15A022139
- Convolution of natural numbers with Beatty sequence for tau^2 A001950.at n=27A023542
- Number of partitions satisfying cn(2,5) + cn(3,5) < cn(1,5) + cn(4,5).at n=35A039893
- a(n) = a(1) + a(2) + ... + a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = a(3) = 1.at n=14A049933
- a(n) = (2*n - 1)*(8*n^2 - 8*n + 3)/3.at n=12A063496
- Number of potential flows in n X n array with integer velocities in -12..12, i.e., number of n X n arrays with adjacent elements differing by no more than 12, counting arrays differing by a constant only once.at n=1A068759
- Where A007535 reaches a record.at n=31A098653
- Coordination sequence for 8-dimensional cyclotomic lattice Z[zeta_15].at n=5A126898
- Number of n X n binary matrices, symmetric under horizontal and vertical reflection, with no more than 3 ones in any 2 X 2 subblock.at n=8A141510
- Number of n X 1 1..3 arrays with no element with value z exactly a city block distance of z from another element with value z.at n=13A209367
- Number of binary arrays of length n+7 with no more than 4 ones in any length 8 subsequence (=50% duty cycle).at n=7A212398
- Numbers k such that 2*k!!! + 1 is prime.at n=25A217647
- Number of (n+2)X3 0..1 arrays with all rows having a nonnegative second derivative, and all and columns having a positive second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative.at n=4A223647
- T(n,k)=Number of (n+2)Xk 0..1 arrays with all rows having a nonnegative second derivative, and all and columns having a positive second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative.at n=25A223652
- Number of 7Xn 0..1 arrays with all rows having a nonnegative second derivative, and all and columns having a positive second derivative in a quadratic least squares fit, with one and two element arrays taken as having a zero second derivative.at n=2A223657
- Number of lattice points in the closed region bounded by the graphs of y = (5/6)*x^2, x = n, and y = 0, excluding points on the x-axis.at n=32A227347
- Expansion of (1-2*x+4*x^2-2*x^3+x^4)/((1-x)^4*(1+x^2)^2).at n=48A228705
- Positions of peak values in A232221.at n=42A232359
- Coefficients in Molien series for a 25-dimensional representation of SO(3) X SO(3).at n=15A246983