8323
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 1757
- 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
- 6720
- Möbius Function
- -1
- Radical
- 8323
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 65
- 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
- no
- Odd
- yes
Appears in sequences
- Odd heptagonal numbers (A000566).at n=29A014637
- Powers of cube root of 15 rounded down.at n=10A018018
- Powers of cube root of 15 rounded to nearest integer.at n=10A018019
- a(n) = (d(n)-r(n))/2, where d = A026066 and r is the periodic sequence with fundamental period (1,0,0,0).at n=34A026067
- Numbers k such that in k and k^2 the parity of digits alternates.at n=33A030153
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 19 ones.at n=3A031787
- Numbers whose base-4 representation contains exactly four 0's and no 1's.at n=35A045033
- a(n) = T(2*n, n), array T as in A047080.at n=9A047085
- Layer counting sequence for hyperbolic tessellation by regular heptagons of angle Pi/3.at n=5A054890
- Hankel transform of number of divisors sequence (A000005).at n=21A056225
- Positive numbers whose product of digits is 9 times their sum.at n=25A062041
- Numbers k such that 3*phi(k) = 2*sigma(k).at n=4A065818
- Rounded total surface area of a regular icosahedron with edge length n.at n=31A071398
- Concatenation of n-th prime and n in decimal notation.at n=22A075110
- Heptagonal numbers for which the digital root is also a heptagonal number.at n=27A117663
- Heptagonal numbers divisible by 7.at n=17A117795
- Numbers k such that tau(k) = tau(k+1) mod 691, where tau is Ramanujan's tau function A000594.at n=8A121733
- a(0)=a(1)=a(2) = 1. a(n) = (a(n-1) +a(n-2)) /GCD(a(n-1)+a(n-2),a(n-3)), for n >= 3.at n=34A123274
- Heptagonal numbers A000566 which are the sum of two other heptagonal numbers > 0.at n=5A133251
- Odd positive integers a(n) such that for every odd integer m>=7 there exists a unique representation of the form m=a(p)+2a(q)+4a(r).at n=21A147845