3067
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3068
- 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
- 3066
- Möbius Function
- -1
- Radical
- 3067
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 61
- 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
- 439
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Prime self (or Colombian) numbers: primes not expressible as the sum of an integer and its digit sum.at n=46A006378
- Coordination sequence T2 for Zeolite Code AFR.at n=42A008020
- Coordination sequence T1 for Banalsite.at n=33A008249
- Crystal ball sequence for A_6 lattice.at n=3A008388
- Numbers k such that the continued fraction for sqrt(k) has period 82.at n=4A020421
- Primes that remain prime through 2 iterations of the function f(x) = 3*x + 2.at n=35A023246
- Primes that remain prime through 3 iterations of function f(x) = 4x + 9.at n=13A023282
- Palindromic primes in base 16 (or hexadecimal), but written here in base 10.at n=33A029732
- Numbers whose base-4 representation has 4 fewer 0's than 3's.at n=28A031469
- 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 55.at n=3A031553
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 34 ones.at n=9A031802
- Lower prime of a difference of 12 between consecutive primes.at n=29A031930
- Primes of form x^2+26*y^2.at n=32A033218
- Primes of the form x^2+74*y^2.at n=21A033248
- Honaker primes: primes P(k) such that sum of digits of P(k) equals sum of digits of k.at n=22A033548
- Number of partitions of n into parts not of form 4k+2, 24k, 24k+3 or 24k-3. Also number of partitions in which no odd part is repeated, with 1 part of size less than or equal to 2 and where differences between parts at distance 5 are greater than 1 when the smallest part is odd and greater than 2 when the smallest part is even.at n=43A036030
- Number of partitions of 5n such that cn(1,5) = cn(4,5) <= cn(0,5) <= cn(2,5) = cn(3,5).at n=9A036881
- Position reached by frog in A038029. A038026(A038029(n)).at n=36A038031
- Sums of 10 distinct powers of 2.at n=18A038461
- Primes that are concatenations of k-th composite and k-th prime.at n=4A038532