8498
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14592
- Proper Divisor Sum (Aliquot Sum)
- 6094
- 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
- 3636
- Möbius Function
- -1
- Radical
- 8498
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 127
- 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
- yes
- Odd
- no
Appears in sequences
- Number of bipartite partitions of n white objects and 5 black ones.at n=12A000491
- Stern's sequence: a(1) = 1, a(n+1) is the sum of the m preceding terms, where m*(m-1)/2 < n <= m*(m+1)/2 or equivalently m = ceiling((sqrt(8*n+1)-1)/2) = A002024(n).at n=15A005230
- sec(tanh(x)*exp(x))=1+1/2!*x^2+6/3!*x^3+21/4!*x^4+100/5!*x^5...at n=7A012662
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 1 (mod 5).at n=47A035562
- Number of partitions of n into parts not of the form 19k, 19k+5 or 19k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=34A035974
- Number of asymmetric mobiles (circular rooted trees) with n nodes and 5 leaves.at n=8A055366
- First differences of Stern's sequence A005230.at n=15A066777
- Numerators of "Farey fraction" approximations to Pi.at n=50A097545
- Maximum sum of products of successive pairs in a permutation of order n+1.at n=28A101986
- First terms "a" of quadruples a>b>c>d>0 with six square pairwise sums.at n=19A175534
- Number of n X 4 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..1 n X 4 array.at n=34A219498
- Number of compositions of n with exactly six occurrences of the largest part.at n=16A243741
- Expansion of 1/(x^6+2*x^5-x^4-4*x^3-x^2-2*x+1).at n=9A306504
- Number of integer partitions of n where no part is 2^k times any other part, for any k > 0.at n=46A323093
- Number of regions in a polygon whose boundary consists of n+2 equally spaced points around a semicircle and three equally spaced points along the diameter (a total of n+3 points). See Comments for precise definition.at n=19A333642
- Number of ways to split an integer partition of n into contiguous subsequences with strictly increasing sums.at n=26A336134
- The number of unlabeled trees T on n vertices for which maximum multiplicity attained by any matrix whose graph is T implies the simplicity of its other eigenvalues.at n=18A347018
- Irregular table read by rows, T(n, k) is the rank of the k-th Seidel permutation of {1,...,n}, permutations sorted in lexicographical order.at n=16A347600
- Triangle read by rows: T(w,h) (for w >= h >= 1) is the number of distinct sets of rectangles with integer sides that tile the w X h rectangle.at n=19A349575
- Triangle read by rows. The incomplete Bell transform of the Catalan numbers.at n=39A352366