4567
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4568
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 4566
- Möbius Function
- -1
- Radical
- 4567
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 619
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that the multiplicative order of 2 modulo p is (p-1)/6.at n=31A001136
- Primes with consecutive (ascending) digits.at n=7A006055
- Duplicate of A006055.at n=7A006510
- Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8).at n=36A017830
- Numbers k such that the continued fraction for sqrt(k) has period 68.at n=7A020407
- a(n) = a(n-1) + a(n-2) + a(n-3), with a(0) = 0, a(1) = 2, a(2) = 1.at n=15A020992
- Primes that remain prime through 3 iterations of function f(x) = 3x + 10.at n=30A023280
- Primes which are concatenations of four consecutive numbers.at n=0A030471
- 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 67.at n=7A031565
- Lower prime of a pair of consecutive primes having a difference of 16.at n=14A031934
- Primes of form x^2 + 94*y^2.at n=33A033204
- Successive approximations to 7-adic integer sqrt(2).at n=5A034945
- Number of partitions in parts not of the form 15k, 15k+3 or 15k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 6 are greater than 1.at n=33A035957
- Prime concatenated analog clock numbers read clockwise.at n=8A036342
- Prime concatenated analog clock numbers (clockwise and counterclockwise).at n=10A036344
- Numerators of continued fraction convergents to sqrt(103).at n=6A041184
- Numerators of continued fraction convergents to sqrt(412).at n=6A041782
- Numerators of continued fraction convergents to sqrt(927).at n=4A042792
- Numbers whose base-4 representation contains exactly four 1's and two 3's.at n=18A045131
- Numbers whose base-5 representation contains exactly two 1's and three 2's.at n=34A045228