5570
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10044
- Proper Divisor Sum (Aliquot Sum)
- 4474
- 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
- 2224
- Möbius Function
- -1
- Radical
- 5570
- 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
- 67
- 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
- Coordination sequence for MgCu2, Cu position.at n=19A009930
- Generalized Catalan Numbers x^3*A(x)^2 -(1-x+x^3+x^4)*A(x) + 1 =0.at n=18A023433
- Expansion of 1/((1-x)(1-7x)(1-8x)(1-9x)).at n=3A024437
- [ exp(1/10)*n! ].at n=6A030951
- Number of partitions of n into parts not of the form 15k, 15k+6 or 15k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 6 are greater than 1.at n=32A035960
- Denominators of continued fraction convergents to sqrt(457).at n=9A041871
- McKay-Thompson series of class 20F for Monster.at n=19A058555
- Least k such that 10^n + k - 1 is the first of a pair of twin primes.at n=37A103129
- Numbers n such that pi(n)=pi(d_1!)+pi(d_2!)+...+pi(d_k!) where d_1 d_2 ...d_k is the decimal expansion of n.at n=7A105327
- Triangular matrix T, read by rows, that satisfies: [T^k](n,k) = T(n,k-1) for n>=k>0, or, equivalently, (column k of T^k) = SHIFT_LEFT(column k-1 of T) when zeros above the diagonal are ignored.at n=49A107876
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n and having k primitive Dyck factors (n >= 0; 0 <= k <= n).at n=47A129154
- Expansion of chi(-q)^5 / chi(-q^5) in powers of q where chi() is a Ramanujan theta function.at n=18A138521
- Numbers k such that (k!-9)/9 is prime.at n=18A139204
- a(n) = 250*n - 180.at n=23A154360
- Number of line segments connecting exactly 8 points in an n x n grid of points.at n=29A177724
- a(n) = number of 6-digit primes with digit sum n, where n runs through the non-multiples of 3 in the range [2..53].at n=17A178605
- An irregular array read by rows. The k-th entry of row r is the number of r-digit primes with digit sum k.at n=102A178701
- Number of 3-element nondividing subsets of {1, 2, ..., n}.at n=34A187490
- Number of n X 3 0..2 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=28A201272
- Expansion of chi(q)^5 / chi(q^5) in powers of q where chi() is a Ramanujan theta function.at n=18A225701