2870
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6048
- Proper Divisor Sum (Aliquot Sum)
- 3178
- 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
- 960
- Möbius Function
- 1
- Radical
- 2870
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 79
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Square pyramidal numbers: a(n) = 0^2 + 1^2 + 2^2 + ... + n^2 = n*(n+1)*(2*n+1)/6.at n=20A000330
- Functional determinants; partitions of partitions; Euler transform applied twice to all 1's sequence.at n=12A001970
- From a nim-like game.at n=29A003413
- Positions of remoteness 6 in Beans-Don't-Talk.at n=37A005694
- Primitive pseudoperfect numbers.at n=42A006036
- Number of compositions (ordered partitions) of n into squares.at n=25A006456
- a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n.at n=39A006918
- Coordination sequence T1 for Zeolite Code EMT.at n=44A008086
- Coordination sequence T5 for Zeolite Code MFI.at n=34A008168
- Molien series of 4-dimensional representation of cyclic group of order 4 over GF(2) (not Cohen-Macaulay).at n=39A008610
- a(n) = floor(n*(n-1)*(n-2)/24).at n=42A011842
- Integers that are squarefree and also the sum of first k squarefrees for some k.at n=35A013932
- Even square pyramidal numbers.at n=9A015222
- a(1) = 1, a(n) = Sum_{k=1..n-1} (3^k - 1)/2 * a(k).at n=4A015502
- Coordination sequence T4 for Zeolite Code TER.at n=36A016436
- Numbers whose base-3 representation is the juxtaposition of two identical strings.at n=34A020331
- Numbers whose base-9 representation is the juxtaposition of two identical strings.at n=34A020337
- Numbers k such that Fibonacci(k) == -55 (mod k).at n=46A023170
- Convolution of (1, p(1), p(2), ...) and composite numbers.at n=14A023627
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = floor(n/2), s = (odd natural numbers).at n=19A025112