5905
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7092
- Proper Divisor Sum (Aliquot Sum)
- 1187
- 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
- 4720
- Möbius Function
- 1
- Radical
- 5905
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 142
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- a(n) = (1 - (-9)^n)/10.at n=4A014991
- Triangle of q-binomial coefficients for q=-9.at n=19A015121
- Triangle of q-binomial coefficients for q=-9.at n=16A015121
- Gaussian binomial coefficient [ n,4 ] for q = -9.at n=1A015295
- a(n+1) = 8*a(n) + 9*a(n-1), a(0) = 0, a(1) = 1.at n=5A015577
- Numbers k such that k | 9^k + 1.at n=10A015957
- Cyclotomic polynomials at x=3.at n=20A019321
- Cyclotomic polynomials at x=9.at n=10A019327
- Numbers k such that the continued fraction for sqrt(k) has period 60.at n=24A020399
- Cyclotomic polynomials at x=-3.at n=20A020502
- Cyclotomic polynomials at x=-9.at n=5A020508
- Sum of Floor[ 3*(1+sqrt(2))^(n-k) ] for k from 1 to infinity.at n=8A020964
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+3 or 24k-3. Also number of partitions in which no odd part is repeated, with 1 part of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=48A036030
- (s(n)+1)/9, where s(n)=n-th base 9 palindrome that starts with 8.at n=28A043079
- Numbers n such that n^2 contains exactly 8 different digits.at n=32A054036
- a(n) = n^4 - n^3 + n^2 - n + 1.at n=9A060884
- a(n) = n^8 - n^6 + n^4 - n^2 + 1.at n=3A060892
- Numbers k > 1 such that, in base 6, k and k^2 contain the same digits in the same proportion.at n=4A061660
- Nearest integer to log(n!)^(1 + log(log(1 + n))).at n=23A062476
- Determinant of the n X n matrix whose element (i,j) equals mu(|i-j|) where mu(k) is the moebius function for k > 0 and mu(0) = 0.at n=16A071085