6524
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 13104
- Proper Divisor Sum (Aliquot Sum)
- 6580
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2784
- Möbius Function
- 0
- Radical
- 3262
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 137
- 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 walks on cubic lattice.at n=27A005570
- Fibonacci sequence beginning 0, 28.at n=13A022362
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (odd natural numbers), t = A001950 (upper Wythoff sequence).at n=23A025114
- Number of partitions of n into parts not of the form 9k, 9k+4 or 9k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 3 are greater than 1.at n=40A035943
- Numbers n such that there are equal numbers of 0's and 1's in first n digits of binary representation of Pi.at n=26A039624
- Denominators of continued fraction convergents to sqrt(277).at n=9A041521
- Numbers having three 8's in base 9.at n=20A043487
- Minimal elements of pairs of "Super Unitary Amicable Numbers", sorted by their minimal elements.at n=21A045613
- Numbers k such that k^2 starts with the reverse of k.at n=3A059795
- Numbers n such that n and its reversal are both multiples of 14.at n=31A062904
- Non-palindromic number and its reversal are both multiples of 14.at n=21A062913
- a(n) is the area of the triangle with sides prime(n), prime(n+2) and prime(n+4), rounded down to the nearest integer.at n=25A096384
- Number of permutations of [n] with exactly 4 descents which avoid the pattern 1324.at n=7A098995
- Numerator of (1-1/n)^k - (1-k/n), 2<=k<=n, triangle read by rows.at n=31A099614
- Expansion of x^2*(-3+4*x)/(1-x^3+x^4).at n=48A110061
- G.f. A(x) satisfies: A(x)^3 equals the g.f. of A110640, which consists entirely of numbers 1 through 9.at n=18A112573
- Numbers k such that the digits of k^2, reversed, include the digits of k as a substring.at n=8A115761
- Number of conjugated cycles composed of six carbons in (n,n)-nanotubes in terms of the number of naphthalene units.at n=6A121254
- Triangle read by rows: T(n,k) is the number of deco polyominoes of height n having along the lower contour exactly k reentrant corners, i.e., a vertical step that is followed by a horizontal step (n>=1, k>=0).at n=18A121579
- Numbers k such that k and k^2 use only the digits 2, 4, 5, 6 and 7.at n=24A137094