2457
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 4480
- Proper Divisor Sum (Aliquot Sum)
- 2023
- 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
- 1296
- Möbius Function
- 0
- Radical
- 273
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 133
- 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
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^7 in powers of x.at n=45A001485
- Coordination sequence T1 for Zeolite Code CHA.at n=38A008066
- Coordination sequence T1 for Zeolite Code YUG.at n=32A008247
- Orders of non-cyclic simple groups (divided by 4).at n=15A008976
- Coordination sequence T2 for Zeolite Code VSV.at n=32A009915
- a(n) = floor( n*(n-1)*(n-2)/8 ).at n=28A011890
- exp(arctanh(x)*cos(x)) = 1+x+1/2!*x^2-3/4!*x^4+45/6!*x^6+504/7!*x^7...at n=8A012738
- cosh(arctanh(x)*cos(x))=1+1/2!*x^2-3/4!*x^4+45/6!*x^6+2457/8!*x^8...at n=4A012747
- sech(sec(x)*arcsinh(x))=1-1/2!*x^2-3/4!*x^4-45/6!*x^6+2457/8!*x^8...at n=4A012833
- Integers k such that k divides 22^k - 1.at n=31A014959
- a(n) = n*(25*n + 1)/2.at n=14A022283
- a(n) = n*(29*n + 1)/2.at n=13A022287
- 7 times triangular numbers: 7*n*(n+1)/2.at n=26A024966
- Numbers that are the sum of 4 positive cubes in exactly 3 ways.at n=11A025405
- Numbers that are the sum of 4 positive cubes in 3 or more ways.at n=12A025407
- Numbers that are the sum of 4 distinct positive cubes in exactly 3 ways.at n=3A025410
- Numbers that are the sum of 4 distinct positive cubes in 2 or more ways.at n=37A025412
- Numbers that are the sum of 4 distinct positive cubes in 3 or more ways.at n=3A025413
- (d(n)-r(n))/5, where d = A026046 and r is the periodic sequence with fundamental period (1,0,4,0,0).at n=29A026048
- a(n) = self-convolution of row n of array T given by A027082.at n=6A027103