4546
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6822
- Proper Divisor Sum (Aliquot Sum)
- 2276
- 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
- 2272
- Möbius Function
- 1
- Radical
- 4546
- 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
- 139
- 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
- a(n) = a(n-1) + a(n-2)^2 for n >= 2 with a(0) = 0 and a(1) = 1.at n=9A000278
- Smallest k such that the product of q/(q-1) over the primes from prime(n) to prime(n+k-1) is greater than 2.at n=44A001276
- a(n) = n concatenated with n + 1.at n=44A001704
- Coordination sequence T3 for Zeolite Code NES.at n=43A008207
- Coordination sequence T2 for Zeolite Code RTE.at n=46A009891
- Coordination sequence T3 for Zeolite Code RTE.at n=46A009892
- a(n) = floor( binomial(n,7)/7 ).at n=18A011853
- Expansion of e.g.f. exp(sinh(x) + sin(x)).at n=9A013025
- sin(sinh(x)+sin(x))=2*x-8/3!*x^3+34/5!*x^5-296/7!*x^7+4546/9!*x^9...at n=4A013026
- a(n) = 1*t(n) + 2*t(n-1) + ... + k*t(n+1-k), where k=floor((n+1)/2) and t is A000201 (lower Wythoff sequence).at n=30A023866
- Pair up the numbers.at n=22A030655
- 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 66.at n=17A031564
- Conjecturally, a power of 2 written in base 3 cannot have this many 2's.at n=32A036463
- Total number of fixed points in free homeomorphically irreducible trees with n nodes.at n=17A037246
- a(n) = Sum_{m=1..n, k=1..m} T(m,k), array T as in A049834.at n=31A049836
- Coordination sequence T6 for Zeolite Code MTF.at n=40A057309
- Integers whose set of prime factors (taken with multiplicity) uses each digit exactly once (i.e., is pandigital) in some base b > 1. Numbers are expressed in base 10.at n=27A058760
- a(2n) = concatenation of 4n+1 and 4n+2, a(2n+1) = concatenation of the two most nearly equal numbers whose product is a(2n).at n=22A068517
- a(n) = 101*n + 1.at n=45A078787
- Third row of Pascal-(1,2,1) array A081577.at n=10A081583