5247
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 8424
- Proper Divisor Sum (Aliquot Sum)
- 3177
- 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
- 3120
- Möbius Function
- 0
- Radical
- 1749
- Omega Function (Ω)
- 4
- 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
- 85
- 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
- no
- Odd
- yes
Appears in sequences
- Number of terms in discriminant of generic polynomial of degree n.at n=7A007878
- a(n) = floor(n*(n-1)*(n-2)/30).at n=55A011912
- First occurrence of exactly n identical terms in A007448.at n=22A016046
- n written in fractional base 8/5.at n=39A024647
- a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A000408.at n=44A024802
- Least modulus >= 3 having maximum run of n consecutive non-residues.at n=52A025034
- Cube root of A030690.at n=37A030691
- "DHK[ 7 ]" (bracelet, identity, unlabeled, 7 parts) transform of 1,1,1,1,...at n=13A032248
- Number of compositions (ordered partitions) of 1 into {1/1, 1/2, 1/3, ..., 1/n}.at n=9A038034
- Numbers whose base-4 representation contains exactly three 1's and three 3's.at n=30A045127
- Partial sums of A002419.at n=9A051843
- Expansion of (1+8*x)/(1-x)^9.at n=5A056117
- Numbers k such that the sum of the k-th triangular number and (k+2)-nd triangular number is a triangular number.at n=9A076049
- Molien series for symmetrized weight enumerators of self-dual codes over GF(4) + GF(4)u with u^2 = 0.at n=32A092549
- Counts where both the odd composites (starting from 1) 1 mod 4 and 3 mod 4 are equal.at n=7A093182
- Ninth column (m=8) of (1,6)-Pascal triangle A096956.at n=5A097299
- a(n) = Sum_{i=2..n} A055211(i).at n=40A097590
- Least k such that prime(n)*(k^2) + prime(n)*k + 1 = m^2 = a square.at n=22A105263
- Numbers k for which digitsum(k) + digitsum(k^2) + digitsum(k^3) = digitsum(k^4).at n=14A118470
- a(n) is the smallest m such that m^3 begins with n^2.at n=37A138173