4678
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7020
- Proper Divisor Sum (Aliquot Sum)
- 2342
- 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
- 2338
- Möbius Function
- 1
- Radical
- 4678
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 59
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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 k such that phi(k) + 2 | sigma(k + 2).at n=17A015781
- Numbers having period-6 5-digitized sequences.at n=28A031190
- 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 68.at n=2A031566
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 44 ones.at n=8A031812
- Numbers k such that for any positive integers (a, b), if a * b = k then a + b is prime.at n=54A080715
- a(2*k-1) = (2*k-1)^2 + 2 - k, a(2*k) = 6*k^2 + 2 - k: First column of the triangle A093915.at n=55A093916
- Numbers k such that 4*k! - 1 is prime.at n=18A099350
- Number of partitions of n such that multiplicities of parts are divisors of n.at n=48A100932
- Indices of primes in the sequence defined by A(0) = 23, A(n) = 10*A(n-1) - 27 for n > 0.at n=16A101951
- a(0) = 0, a(1) = a(2) = 1, a(3) = 2, a(4) = 4, a(5) = 8, a(6) = 16, for n>5: a(n+1) = SORT[ a(n) + a(n-1) + a(n-2) + a(n-3) + a(n-4) + a(n-5) + a(n-6)], where SORT places digits in ascending order and deletes 0's.at n=42A108567
- Lengths of the loop of the sequences "Sum of last n digits" beginning with (n-1) zeros followed by digit 1.at n=16A112546
- a(n) = Sum_{k=floor((n+1)/2)..n} binomial(2*k,k).at n=7A129368
- Number of connected graphs on n vertices such that any two distinct vertices that are connected by at least 2 distinct paths of length 2 are also connected by an edge.at n=9A135445
- Number of walks within N^2 (the first quadrant of Z^2) starting at (0,0) and consisting of n steps taken from {(-1, -1), (-1, 0), (0, 1), (1, -1)}.at n=10A151257
- a(n) = p(n)*p(n+2) - 3*p(n+1), where p(n) is the n-th prime.at n=18A152528
- Coefficients of Hadamard Cartan G_2 self-similar 2^n matrices:M={{2, -1}, {-3, 2}}.at n=13A173814
- Number of compositions of n where the difference between largest and smallest parts equals 7 and adjacent parts are unequal.at n=13A214276
- Number of n-digit 6th powers.at n=24A216656
- Numbers n such that n!3 - 3^3 is prime, where n!3 = n!!! is a triple factorial number (A007661).at n=22A247463
- Numbers n such that n!3 + 3^2 is prime.at n=37A247865