4212
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 11858
- Proper Divisor Sum (Aliquot Sum)
- 7646
- 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
- 1296
- Möbius Function
- 0
- Radical
- 78
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 82
- 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
- Cluster series for bond percolation problem on honeycomb.at n=13A003199
- Degrees of irreducible representations of alternating group A_13.at n=28A003868
- Degrees of irreducible representations of symmetric group S_13.at n=53A003877
- Degrees of irreducible representations of symmetric group S_13.at n=54A003877
- Number of walks on square lattice.at n=8A005565
- Number of diagonally symmetric polyominoes with n cells.at n=17A006748
- Coordination sequence T2 for Zeolite Code APD.at n=43A008035
- Coordination sequence T1 for Zeolite Code LOS.at n=45A008132
- Coordination sequence T3 for Zeolite Code LTN.at n=45A008142
- Coordination sequence T1 for Scapolite.at n=41A008262
- Coordination sequence for squashed {D_5}* lattice, perhaps the smallest example of a "non-superficial" lattice.at n=6A010024
- Number of lines through exactly 7 points of an n X n grid of points.at n=47A018814
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite AFY = CoAPO-50 R3[Co3Al5P8O32].7H2O starting with a T2 atom.at n=5A018972
- Convolution of natural numbers with composite numbers.at n=22A023539
- Every suffix prime and no 0 digits in base 9 (written in base 9).at n=30A024784
- "EGJ" (unordered, element, labeled) transform of 3,3,3,3...at n=6A032314
- Every run of digits of n in base 5 has length 2.at n=30A033003
- Conjecturally, a power of 2 written in base 3 cannot have this many 0's.at n=35A036462
- Numbers n such that lcm(sigma(n),phi(n)) is a perfect square.at n=28A043293
- Numbers whose base-4 representation contains exactly three 0's and three 1's.at n=27A045031