4510
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 9072
- Proper Divisor Sum (Aliquot Sum)
- 4562
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1600
- Möbius Function
- 1
- Radical
- 4510
- 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
- yes
- 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
- 139
- 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
- Numbers that are the sum of 11 positive 7th powers.at n=24A003378
- Primitive pseudoperfect numbers.at n=62A006036
- Coordination sequence T4 for Zeolite Code BRE.at n=44A008061
- Coordination sequence T7 for Zeolite Code DDR.at n=42A008077
- Number of partitions of n into parts >= 3.at n=46A008483
- a(0) = 1, a(n) = 23*n^2 + 2 for n>0.at n=14A010013
- Expansion of 1/((1-x)^3*(1-x^3)^2).at n=27A011779
- Even pentagonal numbers.at n=27A014633
- Quadruples of different integers from [ 2,n ] with no common factors between pairs.at n=32A015628
- Expansion of x^2*(2 - x + x^2) / ((1 + x)*(1 - x)^4).at n=28A026035
- Number of partitions of n in which the least part is 3.at n=49A026796
- Sums of five consecutive squares: a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2.at n=28A027578
- Expansion of 1/((1-3x)(1-4x)(1-5x)(1-11x)).at n=3A028030
- Pentagonal numbers with odd index: a(n) = (2*n+1)*(3*n+1).at n=27A033570
- Number of points of L1 norm 3 in cubic lattice Z^n.at n=15A035597
- Coordination sequence for 15-dimensional cubic lattice.at n=3A035710
- Numbers k such that the string 1,0 occurs in the base 10 representation of k but not of k-1.at n=44A044342
- Numbers n such that 257*2^n-1 is prime.at n=23A050887
- Numbers k such that 273*2^k-1 is prime.at n=37A050895
- Triangle read by rows: number of asymmetric monoids of order n with k idempotents.at n=22A058140