2455
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 2952
- Proper Divisor Sum (Aliquot Sum)
- 497
- 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
- 1960
- Möbius Function
- 1
- Radical
- 2455
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 133
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Boustrophedon transform of Catalan numbers 1, 1, 1, 2, 5, 14, ...at n=7A000736
- Rotatable partitions.at n=35A002722
- Nearest integer to 24*(2^n - 1)/n.at n=9A003138
- Integer part of 24(2^n-1)/n.at n=9A003176
- Coordination sequence T4 for Zeolite Code MEI.at n=36A008149
- Coordination sequence T2 for Zeolite Code CON.at n=35A009869
- Coordination sequence for alpha-Mn, Position Mn1.at n=13A009950
- Expansion of 1/((1-x)^2*Product_{k>=1} (1-x^k)).at n=15A014153
- Expansion of Molien series for automorphism group (2.Weyl(E6)) of E6 lattice.at n=44A014977
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite VNI = VPI-9 Rb44K4[Zn24Si96O240].48H2O starting with a T7 atom.at n=11A019255
- a(n) = (1/4 + 1/6 + ... + 1/c(n))*LCM{4, 6, ..., c(n)}, where c(n) = n-th composite number.at n=7A025545
- a(n) = n^2 + n + 5.at n=49A027690
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 3 (most significant digit on right).at n=8A029496
- Number of partitions of n with equal number of parts congruent to each of 0, 2 and 3 (mod 5).at n=44A035575
- Number of partitions of n into parts not of the form 9k, 9k+2 or 9k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 3 are greater than 1.at n=35A035941
- Number of partitions of n such that cn(0,5) = cn(2,5) <= cn(3,5) = cn(4,5) < cn(1,5).at n=49A036847
- Path-counting array T(i,j) obtained from array t in A038792 by T(i,j)=t(2i+1,j).at n=42A038738
- T(n,n-2), array T as in A038738.at n=6A038739
- T(n,n-6), array T as in A038792.at n=11A038796
- T(2n+5,n), array T as in A038792.at n=6A038798