3513
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4688
- Proper Divisor Sum (Aliquot Sum)
- 1175
- 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
- 2340
- Möbius Function
- 1
- Radical
- 3513
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 56
- 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
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T2 for Zeolite Code APC.at n=41A008033
- Coordination sequence T7 for Zeolite Code TER.at n=40A016439
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite NES = NU-87 H4[Al4Si64O136].nH2O starting with a T1 atom.at n=11A019202
- Numbers k such that the continued fraction for sqrt(k) has period 42.at n=38A020381
- a(n) is the position of square of n-th prime among the powers of primes (A000961).at n=40A024624
- Prefix primes in base 8 (written in base 8).at n=33A024768
- Every prefix and suffix prime in base 8 (written in base 8).at n=21A024776
- 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 38.at n=27A031536
- Concatenations C1 and C2 are both prime (see the comment lines).at n=41A034816
- Concatenation of n in base 2 up to base 10 is prime, all numbers are interpreted as decimals.at n=39A054256
- Index of the smallest prime which follows square of n-th prime.at n=41A062773
- Integer parts of the square roots of the schizophrenic numbers (A014824).at n=7A068995
- a(1) = 8; a(n) is smallest number > a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=33A074344
- Diagonal of triangular spiral in A051682.at n=27A081270
- Number of products of distinct factorials not exceeding n!.at n=28A101977
- Iccanobirt prime indices (14 of 15): Indices of prime numbers in A102124.at n=15A102144
- Index of the smallest prime greater than (6n+1)^2.at n=30A174321
- Numbers n with property that n^2 contains "1234" as a substring.at n=1A175464
- Numbers n with property that n^2 contains "123" as a substring.at n=21A178314
- Positive integers of the form (2*m^2+1)/11.at n=25A179088