8526
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 20520
- Proper Divisor Sum (Aliquot Sum)
- 11994
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2352
- Möbius Function
- 0
- Radical
- 1218
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 127
- 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
- Product of the lengths of the cycle types of the permutation created by length sorting on the partitions of n.at n=11A036052
- Product of order of cycles of the permutation created by length sorting on the partitions of n.at n=10A036053
- Number of double nodes (exactly two nodes on that level) for all Motzkin paths of length n.at n=12A051485
- a(n) = n*(2*n+5)*(n-1)/6.at n=29A051925
- Numbers k that can be expressed as k = w+x = y*z with w*x = (y+z)^3 where w, x, y, and z are all positive integers.at n=13A057370
- Triangle of numbers related to A000330 (sum of squares) and A000364 (Euler numbers).at n=30A060058
- Third column of triangle A060058.at n=5A060060
- Triangle A060058 by diagonals.at n=33A060074
- Sixth column of triangle A060074.at n=2A060078
- Exponential Riordan array (sech(x), tanh(x)).at n=50A060081
- Numbers n such that n and its reversal are both multiples of 14.at n=41A062904
- Non-palindromic number and its reversal are both multiples of 14.at n=29A062913
- Values of m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,3.at n=41A064238
- Exponential transform of unsigned Lah-triangle |A008297(n,k)|.at n=26A079005
- Take pairs (a, b), sorted on a, such that T(a)+T(b)=concatenation of a and b, where T(k) is the k-th triangular number A000217(k). Sequence gives values of b.at n=13A096032
- Take pairs (a, b), sorted on a, such that T(a)+T(b)=concatenation of a and b, where T(k) is the k-th triangular number A000217(k). Sequence gives values of b.at n=26A096032
- a(1)=1, a(n) = n*a(floor(n/2)).at n=28A098844
- Rhonda numbers to base 10.at n=8A099542
- Numbers k such that k^6 + 82991 is prime.at n=1A126893
- a(n) = floor(p/2) * floor(floor(p/2)/2) * floor(floor(floor(p/2)/2)/2) * ... * 1, where p=prime(n).at n=16A163467