978
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
- 8
- Divisor Sum
- 1968
- Proper Divisor Sum (Aliquot Sum)
- 990
- 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
- 324
- Möbius Function
- -1
- Radical
- 978
- 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
- 49
- 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
- neunhundertachtundsiebzig· ordinal: neunhundertachtundsiebzigste
- English
- nine hundred seventy-eight· ordinal: nine hundred seventy-eighth
- Spanish
- novecientos setenta y ocho· ordinal: 978º
- French
- neuf cent soixante-dix-huit· ordinal: neuf cent soixante-dix-huitième
- Italian
- novecentosettantotto· ordinal: 978º
- Latin
- nongenti septuaginta octo· ordinal: 978.
- Portuguese
- novecentos e setenta e oito· ordinal: 978º
Appears in sequences
- Numbers k such that (k^2 + k + 1)/13 is prime.at n=47A002642
- Numbers that are the sum of 4 nonzero 4th powers.at n=47A003338
- Numbers that are the sum of 10 positive 5th powers.at n=38A003355
- Sums of distinct nonzero 4th powers.at n=29A003999
- Generalized Catalan numbers: a(n+1) = a(n) + Sum_{k=1..n-1} a(k)*a(n-1-k).at n=11A004148
- 1 + (sum of first n odd primes - n)/2.at n=32A005521
- Numbers not of form p + 2^x + 2^y.at n=18A006286
- A grasshopper sequence: closed under n -> 2n+2 and 6n+6.at n=54A007319
- Number of strict (-1)st-order maximal independent sets in path graph.at n=13A007382
- Expansion of 1/(1 - 3*x*C(x)), where C(x) = (1 - sqrt(1 - 4*x))/(2*x) = g.f. for the Catalan numbers A000108.at n=5A007854
- Coordination sequence T3 for Zeolite Code MOR.at n=20A008184
- Coordination sequence for 9-dimensional cubic lattice.at n=3A008418
- Coordination sequence T5 for Zeolite Code CON.at n=22A009872
- Coordination sequence T1 for Zeolite Code iRON.at n=22A009881
- Coordination sequence T4 for Zeolite Code VET.at n=19A009905
- Coefficients in expansion of Euler's constant gamma as Sum_{n>=1} a(n)/(n*n!*(n+1)!), as found by greedy algorithm.at n=47A009929
- Divisors of 978.at n=7A018755
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite AFR = SAPO-40 [Si7Al29P28O128].4TPA.OH starting with a T3 atom.at n=4A018962
- (n-2)nd Catalan number is congruent to n/3 mod n.at n=37A019467
- Positive integers which apparently never result in a palindrome under repeated applications of the function A056964(x) = x + (x with digits reversed).at n=11A023108