798
domain: N
Properties
Digital Properties
- Digit Count
- 3
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 1920
- Proper Divisor Sum (Aliquot Sum)
- 1122
- 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
- 216
- Möbius Function
- 1
- Radical
- 798
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 121
- Smith 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
Names
- German
- siebenhundertachtundneunzig· ordinal: siebenhundertachtundneunzigste
- English
- seven hundred ninety-eight· ordinal: seven hundred ninety-eighth
- Spanish
- setecientos noventa y ocho· ordinal: 798º
- French
- sept cent quatre-vingt-dix-huit· ordinal: sept cent quatre-vingt-dix-huitième
- Italian
- settecentonovantotto· ordinal: 798º
- Latin
- septingenti nonaginta octo· ordinal: 798.
- Portuguese
- setecentos e noventa e oito· ordinal: 798º
Appears in sequences
- Smallest even number that is an unordered sum of two odd primes in exactly n ways.at n=38A001172
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^7 in powers of x.at n=19A001485
- Denominators of Bernoulli numbers B_{2n}.at n=9A002445
- Denominators of Bernoulli numbers B_{2n}.at n=27A002445
- Number of cyclic Steiner triple systems of order 2n+1.at n=19A002885
- Numbers that are the sum of 10 positive 5th powers.at n=32A003355
- Numbers that are the sum of 7 positive 6th powers.at n=9A003363
- a(n) = floor(Fibonacci(n)/2).at n=17A004695
- a(n) = floor(n*phi^8), where phi is the golden ratio, A001622.at n=17A004923
- a(n) = Sum_{k=0..floor(n/4)} binomial(n-2k,2k).at n=16A005252
- a(n) = n*(n+4)*(n+5)/6.at n=14A005586
- a(n) is the smallest positive integer a for which there is an identity of the form a*n*x = Sum_{i=1..m} ai*gi(x)^n where a1, ..., am are in Z and g1(x), ..., gm(x) are in Z[x].at n=56A005729
- Let F(x) = 1 + x + 4x^2 + 9x^3 + ... = g.f. for A002835 (solid partitions restricted to two planes) and expand (1-x)*(1-x^2)*(1-x^3)*...*F(x) in powers of x.at n=11A005980
- a(n) = 3 + n/2 + 7*n^2/2.at n=15A006124
- Number of ternary squarefree words of length n.at n=16A006156
- Number of loopless tree-rooted planar maps with 3 vertices and n faces and no isthmuses.at n=5A006428
- Number of convex polygons of length 2n on honeycomb, or EG-convex polyominoes.at n=10A006743
- Denominators of Bernoulli numbers B_0, B_1, B_2, B_4, B_6, ...at n=28A006954
- Denominators of Bernoulli numbers B_0, B_1, B_2, B_4, B_6, ...at n=10A006954
- Denominator of (2n+1) B_{2n}, where B_n are the Bernoulli numbers.at n=27A006955