3547
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
- 2
- Divisor Sum
- 3548
- 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
- 3546
- Möbius Function
- -1
- Radical
- 3547
- 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
- 56
- 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
- 497
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes of the form m^2 + 3m + 9, where m can be positive or negative.at n=22A005471
- Where the prime race among 7k+1, ..., 7k+6 changes leader.at n=28A007354
- Coordination sequence T2 for Zeolite Code ATS.at n=43A008039
- Coordination sequence T2 for Zeolite Code CON.at n=42A009869
- a(n) = floor(n*(n-1)*(n-2)/24).at n=45A011842
- Expansion of 1/(1-x^7-x^8-x^9-x^10-x^11-x^12-x^13-x^14-x^15).at n=49A017864
- Numbers k such that the continued fraction for sqrt(k) has period 46.at n=23A020385
- n-th prime p(k) such that p(k) + p(k+9) = p(k+3) + p(k+6).at n=41A022893
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 6 (most significant digit on right).at n=13A029499
- 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 59.at n=6A031557
- Lower prime of a difference of 10 between consecutive primes.at n=45A031928
- Primes of form x^2+66*y^2.at n=29A033242
- Smallest prime congruent to 1 (mod prime(n)).at n=44A035095
- Number of partitions satisfying cn(0,5) = cn(2,5) + cn(3,5).at n=40A039859
- Denominators of continued fraction convergents to sqrt(314).at n=10A041593
- Discriminants of imaginary quadratic fields with class number 9 (negated).at n=16A046006
- T(n,n+1), array T as in A047100.at n=7A047106
- Integers n such that A047988(n)=3.at n=14A047986
- Least number m such that phi(m) = A000010(m) is divisible by the n-th prime.at n=44A066674
- Lonely non-twin primes: non-twins sandwiched between two pairs of twins.at n=20A068016