3388
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 7448
- Proper Divisor Sum (Aliquot Sum)
- 4060
- 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
- 1320
- Möbius Function
- 0
- Radical
- 154
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 35
- 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
- Generalized class numbers c_(n,1).at n=33A000233
- Smallest number requiring n chisel strokes for its representation in Roman numerals.at n=30A002964
- Coordination sequence T3 for Zeolite Code AEI.at n=44A008003
- Coordination sequence T2 for Zeolite Code AST.at n=44A008037
- Coordination sequence T1 for Zeolite Code LTA and RHO.at n=46A008137
- Coordination sequence T2 for Zeolite Code -WEN.at n=42A009863
- Coordination sequence T5 for Zeolite Code CON.at n=41A009872
- Sum along upward diagonal of Pascal triangle up to (but not including) halfway point.at n=21A010755
- Triangle of coefficients in expansion of (1+11x)^n.at n=38A013618
- Expansion of 1/((1-x)(1-3x)(1-5x)(1-11x)).at n=3A021474
- Coordination sequence T1 for Zeolite Code MWW.at n=39A024986
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 23 (most significant digit on left).at n=17A029468
- Every run of digits of n in base 10 has length 2.at n=34A033008
- a(n) = 7*n^2.at n=22A033582
- Decimal part of a(n)^(1/n) starts with a pandigital anagram (digits 0 through 9 in some order).at n=33A035304
- Number of partitions of n into parts not of the form 19k, 19k+8 or 19k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=28A035977
- T(n,n-6), array T as in A038738.at n=4A038743
- T(n,n-4), array T as in A038792.at n=17A038794
- Numbers k such that the string 7,4 occurs in the base 9 representation of k but not of k-1.at n=45A044318
- Numbers n such that string 8,8 occurs in the base 10 representation of n but not of n-1.at n=33A044420