4014
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
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8736
- Proper Divisor Sum (Aliquot Sum)
- 4722
- 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
- 1332
- Möbius Function
- 0
- Radical
- 1338
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 43
- 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
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^3)).at n=49A000601
- Coordination sequence T10 for Zeolite Code EUO.at n=39A008096
- Number of distinct products i*j*k with 1 <= i < j < k <= n.at n=41A027430
- "BFK" (reversible, size, unlabeled) transform of 2,2,2,2...at n=16A032043
- Coordination sequence T2 for Zeolite Code AFN.at n=45A038402
- Denominators of continued fraction convergents to sqrt(614).at n=9A042179
- Numbers whose base-4 representation contains exactly three 2's and three 3's.at n=17A045151
- Number of upward triangles in a Star of David matchstick arrangement of size n.at n=9A045950
- Positions in decimal expansion of Pi where next prime begins.at n=28A053013
- Numbers k such that sigma(k+1) = 4*phi(k).at n=39A067262
- Number of partitions of n into Lucas parts (A000032).at n=46A067593
- Smallest integer >= 0 of the form x^4 - n^3.at n=42A070928
- Triangle, read by rows, where row n+1 is formed by sorting, in ascending order, the result of the convolution of row n with {2,1}.at n=54A103286
- Main diagonal of triangle A103286, in which row n+1 is formed by sorting, in ascending order, the result of the convolution of row n with {2,1}.at n=9A103287
- Total number of parts in the tails below the Durfee squares of all partitions of n.at n=20A114089
- Expansion of f(x, -x^4) / phi(-x^2) in powers of x where f(, ) and phi() are Ramanujan theta functions.at n=42A122135
- Triangle, read by rows, where row n lists the coefficients of x^k, k=1..2^n, in the n-th iteration of (x + x^2) for n>=0.at n=38A122888
- Unique sequence that begins with nine zeros and a 1 and has the properties that each leading term of the difference triangle is single-digit, and the concatenation of the leading terms of the difference triangle is the same as the concatenation of the digits of the sequence.at n=14A125591
- G.f.: C_{2,o}(y) - see p. 158 of Fan reference.at n=5A135926
- Triangle read by rows: A007318^(-1) * A011971.at n=46A136789