1570
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2844
- Proper Divisor Sum (Aliquot Sum)
- 1274
- 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
- 624
- Möbius Function
- -1
- Radical
- 1570
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 122
- 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
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a new record; sequence gives (nearest integer to, I believe) P(A000092(n)).at n=38A000223
- Number of points on surface of tetrahedron; coordination sequence for sodalite net (equals 2*n^2+2 for n > 0).at n=28A005893
- Coordination sequence T5 for Zeolite Code BOG.at n=28A008053
- Coordination sequence T6 for Zeolite Code PAU.at n=29A008224
- Coordination sequence T1 for Zeolite Code STI.at n=27A008234
- Coordination sequence T3 for Zeolite Code THO.at n=28A008240
- Coordination sequence for body-centered tetragonal lattice.at n=14A008527
- Coordination sequence T2 for Keatite.at n=22A009845
- Coordination sequence T5 for Zeolite Code CON.at n=28A009872
- a(0) = 1, a(n) = 32*n^2 + 2 for n > 0.at n=7A010021
- a(n) = floor( n*(n-1)*(n-2)/25 ).at n=35A011907
- Number of ordered quadruples of integers from [ 2,n ] with no global factor.at n=12A015638
- Expansion of 1 / ((1-x) * (1-3*x) * (1-10*x)).at n=3A016215
- Numbers k such that the continued fraction for sqrt(k) has period 17.at n=13A020356
- Numbers k such that Fibonacci(k) == -55 (mod k).at n=32A023170
- a(n) = position of n^3 + 9 in A003072.at n=23A024971
- Coordination sequence T2 for Zeolite Code IFR.at n=28A024983
- Coordination sequence T4 for Zeolite Code MWW.at n=27A024989
- [ Sum{(sqrt(j+1)-sqrt(i+1))^3} ], 1 <= i < j <= n.at n=23A025223
- a(n) = Sum_{k=0..n-1} T(n,k) * T(n,2n-k), with T given by A027052.at n=6A027074