8754
domain: N
Properties
Digital Properties
- Digit Count
- 4
- 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
- 17520
- Proper Divisor Sum (Aliquot Sum)
- 8766
- 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
- 2916
- Möbius Function
- -1
- Radical
- 8754
- 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
- 78
- Smith Number
- yes
- 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
- Numbers that are the sum of 10 positive 7th powers.at n=38A003377
- Numbers k such that the continued fraction for sqrt(k) has period 70.at n=32A020409
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 92.at n=21A031590
- Numbers whose set of base-16 digits is {2,3}.at n=16A032816
- Number of partitions of n into parts not of the form 17k, 17k+6 or 17k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=34A035967
- Denominators of continued fraction convergents to sqrt(153).at n=9A041281
- Numbers whose base-5 representation contains exactly three 0's and two 4's.at n=20A045216
- Numbers n such that n | 10^n + 9^n + 8^n + 7^n + 6^n + 5^n + 4^n + 3^n + 2^n.at n=32A057287
- Number of self-conjugate three-quadrant Ferrers graphs that partition n.at n=48A059777
- Numbers k that, when expressed in base 6 and then interpreted in base 8, give a multiple of k.at n=17A062937
- Second binomial transform of binomial(n+6, 6).at n=5A081904
- a(n) = Sum_{k=0..n} binomial(n,k) * binomial(n+1,k+1) * 3^k.at n=5A098663
- Expansion of g.f. Product_{k>=1} 1/(1-x^sigma(k)).at n=47A111865
- Records in A119451.at n=19A119452
- Triangle T(n,k), 0 <= k <= n, read by rows given by: T(0,0)=1, T(n,k)=0 if k < 0 or if k > n, T(n,0) = T(n-1,1), T(n,k) = T(n-1,k-1) + 3*T(n-1,k) + T(n-1,k+1) for k >= 1.at n=39A126970
- Numbers n such that m + (sum of digits in base-3 representation of m) = n has exactly four solutions.at n=30A230856
- Smallest number k such that sopf(k)/digsum(k) = prime(n) where sopf(k) is the sum of the distinct primes dividing k and digsum(k) the sum of digits of k.at n=17A241049
- Numbers k such that 3*R_k + 20 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=14A256463
- Numbers k such that k divides the sum of the first k primes with prime indices.at n=13A263541
- Ulam numbers k such that 4*k and 16*k are also Ulam numbers.at n=11A287634