4547
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 4548
- 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
- 4546
- Möbius Function
- -1
- Radical
- 4547
- 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
- 139
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 616
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of permutations of length n without 3-sequences.at n=7A002628
- Primes p such that 1 + product of primes up to p is prime.at n=11A005234
- From relations between Siegel theta series.at n=55A006476
- Coordination sequence T5 for Zeolite Code MFS.at n=42A008177
- Numbers k such that the continued fraction for sqrt(k) has period 58.at n=22A020397
- T(2n,n+2), T given by A026780.at n=5A026895
- 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=6A031565
- Primes that are concatenations of n with n + 2.at n=5A032625
- G.f. satisfies A(x) = 1 + x*cycle_index(Sym(5), A(x)).at n=12A036721
- Number of n-node rooted identity trees of height at most 8.at n=14A038087
- Discriminants of imaginary quadratic fields with class number 17 (negated).at n=11A046014
- Smaller of twin prime pairs in consecutively larger seas of composite numbers.at n=16A046928
- Triangle of numbers a(n,k) = number of permutations on n letters containing k 3-sequences (n >= 0, 0<=k<=max(0,n-2)).at n=17A047921
- Let (p1,p2), (p3,p4) be pairs of twin primes with p1*p2=p3+p4-1; sequence gives values of p1.at n=12A047976
- Integers n such that A047988(n)=3.at n=21A047986
- Primes of the form 4*k^2 + 4*k + 59.at n=29A048988
- Primes p such that there is no Carmichael number pqr, p<q<r q, r primes.at n=6A051663
- Numbers n such that 1n1, 3n3, 7n7 and 9n9 are all primes.at n=9A059677
- Primes p such that 1p1, 3p3, 7p7 and 9p9 are all primes.at n=2A059694
- The minimal number which has multiplicative persistence 8 in base n.at n=22A064872