4125
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 7488
- Proper Divisor Sum (Aliquot Sum)
- 3363
- 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
- 2000
- Möbius Function
- 0
- Radical
- 165
- Omega Function (Ω)
- 5
- 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
- 38
- 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
- Number of nonseparable toroidal tree-rooted maps with n + 2 edges and n + 1 vertices.at n=8A006414
- Number of rotationally symmetric polyominoes with n cells (that is, polyominoes with exactly the symmetry group C_2 generated by a 180-degree rotation).at n=15A006747
- Coordination sequence T2 for Zeolite Code BRE.at n=42A008059
- Coordination sequence T1 for Zeolite Code GOO.at n=44A008111
- Coordination sequence T1 for Zeolite Code MER.at n=47A008160
- Weight distribution of [100,22,22] code associated with Hoffman-Singleton and Higman-Sims graphs.at n=32A015068
- Weight distribution of [100,22,22] code associated with Hoffman-Singleton and Higman-Sims graphs.at n=18A015068
- Weight distribution of [100,22,32] code associated with Hoffman-Singleton and Higman-Sims graphs.at n=18A015070
- Weight distribution of [100,22,32] code associated with Hoffman-Singleton and Higman-Sims graphs.at n=32A015070
- Expansion of 1/((1-4x)(1-5x)(1-12x)).at n=3A019041
- a(n) = n*(17*n + 1)/2.at n=22A022275
- n written in fractional base 7/4.at n=33A024641
- Number of 10's in all partitions of n.at n=37A024794
- a(n) = [ Sum{(sqrt(j+1)-sqrt(i+1))^2} ], 1 <= i < j <= n.at n=42A025222
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 25 (most significant digit on left).at n=43A029470
- Convolution of Thue-Morse sequence A001285 with primes.at n=37A029888
- Coordination sequence T1 for Zeolite Code CFI.at n=43A033599
- Odd numbers m such that there exists an even number k < m with phi(k) = phi(m).at n=40A036798
- Smallest natural number k such that periodic part of 1/k is n, or 0 if no such k exists.at n=42A037207
- Smallest natural number k such that periodic part of 1/k is n, or 0 if no such k exists.at n=24A037207