1022
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 1776
- Proper Divisor Sum (Aliquot Sum)
- 754
- 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
- 432
- Möbius Function
- -1
- Radical
- 1022
- 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
- 62
- 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
- a(n) = 2^n - 2.at n=10A000918
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^5)).at n=35A001304
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^5)*(1-x^10)*(1-x^20)).at n=30A001305
- a(n) is the number of partitions of 4n that can be obtained by adding together four (not necessarily distinct) partitions of n.at n=6A002221
- Expansion of chi(x)^10 / phi(x)^4 in powers of x where phi(), chi() are Ramanujan theta functions.at n=11A002512
- Primes written in base 5.at n=32A004679
- Representation degeneracies for Ramond strings.at n=14A005303
- Numbers k such that k^8 + 1 is prime.at n=41A006314
- Numbers in base 3.at n=35A007089
- Number of strict 5th-order maximal independent sets in path graph.at n=39A007385
- Expansion of (x^6-x^5-x^4+2x^2)/((1-x^3)(1-x^2)^2(1-x)).at n=37A007988
- Coordination sequence T3 for Zeolite Code DDR.at n=20A008073
- Coordination sequence T3 for Zeolite Code SGT.at n=20A008231
- a(n) = n^2 - 2.at n=31A008865
- Triangle T(n,k) = P(n,k)/2, n >= 2, 1 <= k < n, of one-half of number of permutations of 1..n such that the differences have k runs with the same signs.at n=46A008970
- If a, b in sequence, so is a*b+2.at n=38A009299
- "Pascal sweep" for k=7: draw a horizontal line through the 1 at C(k,0) in Pascal's triangle; rotate this line and record the sum of the numbers on it (excluding the initial 1).at n=41A009504
- Coordination sequence T3 for Zeolite Code -WEN.at n=23A009864
- Coordination sequence T4 for Zeolite Code RUT.at n=21A009900
- Expansion of e.g.f. arcsin(sinh(x) * exp(x)).at n=6A012519