8778
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 23040
- Proper Divisor Sum (Aliquot Sum)
- 14262
- 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
- 2160
- Möbius Function
- -1
- Radical
- 8778
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 5
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- yes
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 140
- 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
- Central factorial numbers: column 2 in triangle A008956.at n=4A001823
- Expansion of 1 / ((1-x)^2*(1-x^2)*(1-x^3)*(1-x^4)).at n=42A002621
- Palindromic triangular numbers.at n=11A003098
- Degrees of irreducible representations of Harada-Norton group HN.at n=5A003915
- Degrees of irreducible representations of Harada-Norton group HN.at n=6A003915
- Triangle of central factorial numbers |4^k t(2n+1,2n+1-2k)| read by rows (n>=0, k=0..n).at n=17A008956
- Coordination sequence for Cr3Si, Cr position.at n=24A009928
- a(n) = floor( n*(n-1)*(n-2)/20 ).at n=57A011902
- a(n) = floor(n(n-1)(n-2)(n-3)/20).at n=22A011930
- Numbers that are palindromic in bases 8 and 10.at n=16A029804
- Palindromic in bases 13 and 10.at n=20A029968
- a(n) = 2*n*(4*n + 1).at n=33A033585
- Base-8 palindromes that start with 2.at n=27A043022
- Base 10 palindromes that start with 8.at n=19A043043
- Numbers having three 3's in base 9.at n=35A043467
- Palindromes that are divisible by 6.at n=28A045641
- Palindromic and divisible by 7.at n=30A045642
- Largest palindromic substring in 3^n.at n=47A046261
- Palindromes with exactly 5 prime factors (counted with multiplicity).at n=20A046331
- Composite palindromes divisible by the sum of their prime factors (counted with multiplicity).at n=4A046348