3467
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
- 3468
- 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
- 3466
- Möbius Function
- -1
- Radical
- 3467
- 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
- 149
- 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
- 486
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers that are the sum of 11 positive 7th powers.at n=22A003378
- Coordination sequence T6 for Zeolite Code DDR.at n=37A008076
- Coordination sequence T1 for Zeolite Code LOV.at n=39A008134
- If a, b in sequence, so is ab+5.at n=40A009304
- From table of maximal epacts e(p) and corresponding primes p, for x_1=2, x_{m+1} = (x_m)^2+1; sequence gives p.at n=20A014424
- Numbers k such that the continued fraction for sqrt(k) has period 42.at n=37A020381
- Primes that remain prime through 2 iterations of function f(x) = 8x + 7.at n=29A023263
- Convolution of Fibonacci numbers and (1, prime(1), prime(2), ...).at n=13A023608
- a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A004432.at n=36A024809
- Primes p whose digits do not appear in p^2.at n=40A030086
- 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 57.at n=22A031555
- Primes of form x^2+59*y^2.at n=21A033238
- Coordination sequence T3 for Zeolite Code SBT.at n=47A033614
- Multiplicity of highest weight (or singular) vectors associated with character chi_9 of Monster module.at n=37A034397
- a(n) = floor(T_(n+1)/T_(n)) where T_n is n-th tangential or "Zag" number (see A000182).at n=45A034972
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 1 and 4 (mod 5).at n=51A035584
- Number of partitions satisfying (cn(0,5) <= cn(2,5) = cn(3,5)).at n=39A036804
- Number of partitions satisfying (cn(0,5) = 0 and cn(1,5) <= cn(2,5) and cn(1,5) <= cn(3,5) and cn(4,5) <= cn(2,5) and cn(4,5) <= cn(3,5)).at n=42A036812
- Primes which are not the sum of consecutive composite numbers.at n=23A037174
- Denominators of continued fraction convergents to sqrt(479).at n=7A041915