5212
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 9128
- Proper Divisor Sum (Aliquot Sum)
- 3916
- 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
- 2604
- Möbius Function
- 0
- Radical
- 2606
- Omega Function (Ω)
- 3
- 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
- 103
- 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
- Truncated square numbers: 7*n^2 + 4*n + 1.at n=27A005892
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite WEI = Weinebeneite Ca4[Be12P8O32(OH)8].16H2O starting from a T2 atom.at n=12A019263
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 36.at n=31A031534
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 44 ones.at n=12A031812
- Number of unordered sets a, b, c, d of distinct integers from 1..n such that a+b+c+d = 0 (mod n).at n=51A032801
- a(n) = 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) = 1 and a(3) = 3.at n=43A050033
- Coordination sequence T6 for Zeolite Code MTF.at n=43A057309
- Integer part of log(n^n)^(1 + log(1 + log(n))).at n=15A062449
- Nearest integer to log(n^n)^(1 + log(1 + log(n))).at n=15A062450
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 87 ).at n=25A063360
- Positions of A080313 in A014486.at n=9A080312
- French self-ranked numbers.at n=42A108987
- a(n+1) = Sum_{k=0..n} (n!/k!)*binomial(n,k)*a(k).at n=6A110083
- Numbers k such that floor(Pi^k - e^k) is prime.at n=7A111190
- Number of permutations of length n which avoid the patterns 213, 1234, 4312.at n=44A116720
- Number of squares on infinite chessboard that a knight can reach in n moves from a fixed square.at n=27A118312
- Iterates of A122227, starting from 0.at n=9A122228
- Triangle, read by rows, where T(n,k) = T(n,k-1) + n*T(n-1,k-1) for n>0 and k>0, with T(n,0) = T(n-1,n-1) for n>0 and T(0,0) = 1.at n=20A132007
- Triangle, read by rows, where T(n,k) = T(n,k-1) + n*T(n-1,k-1) for n>0 and k>0, with T(n,0) = T(n-1,n-1) for n>0 and T(0,0) = 1.at n=21A132007
- a(n) = 7*n^2 + 4*n + 1.at n=28A135704