2580
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 7392
- Proper Divisor Sum (Aliquot Sum)
- 4812
- 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
- 672
- Möbius Function
- 0
- Radical
- 1290
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 102
- 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
- yes
- Odd
- no
Appears in sequences
- Number of irreducible polynomials of degree n over GF(5); dimensions of free Lie algebras.at n=6A001692
- "Magic" integers: a(n+1) is the smallest integer m such that there is no overlap between the sets {m, m-a(i), m+a(i): 1 <= i <= n} and {a(i), a(i)-a(j), a(i)+a(j): 1 <= j < i <= n}.at n=30A004210
- Primitive repfigit numbers.at n=9A006576
- Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers).at n=11A007629
- a(n) is the least multiple of n, k*n say, such that phi(k) | sigma(k).at n=42A015756
- Numbers n such that phi(n) | sigma_7(n).at n=55A015765
- Numbers k such that phi(k) | sigma_13(k).at n=47A015771
- Powers of cube root of 2 rounded down.at n=34A017979
- Powers of cube root of 2 rounded to nearest integer.at n=34A017980
- Powers of cube root of 4 rounded down.at n=17A017985
- Powers of cube root of 4 rounded to nearest integer.at n=17A017986
- Squares on infinite chessboard at n moves from center using a {2,3} fairy knight.at n=39A018839
- 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 T6 atom.at n=11A019254
- Balanced numbers: numbers k such that phi(k) (A000010) divides sigma(k) (A000203).at n=43A020492
- Numbers k such that d(k) (number of divisors) divides phi(k) (Euler function) divides sigma(k) (sum of divisors).at n=33A020493
- a(n) = n*(9*n - 1)/2.at n=24A022266
- a(n) = n*(23*n - 1)/2.at n=15A022280
- Number of partitions of n into parts of 4 kinds.at n=8A023003
- a(n) = Sum_{k=1..n} floor((n/k) * floor((n/k) * floor(n/k))).at n=12A024922
- a(n) = Sum_{k=1..n} k*floor( prime(k)/k ).at n=38A024927