3402
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 8736
- Proper Divisor Sum (Aliquot Sum)
- 5334
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 972
- Möbius Function
- 0
- Radical
- 42
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 61
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers that are the sum of 3 nonnegative cubes in more than 1 way.at n=32A001239
- Numbers k such that 45*2^k - 1 is prime.at n=44A002242
- a(n) = ceiling(1000*log(n)).at n=29A004242
- Coordination sequence T3 for Zeolite Code EUO.at n=36A008098
- Coordination sequence T1 for Zeolite Code TON.at n=36A008241
- Coordination sequence for alpha-Nd, Position Nd1.at n=18A009948
- a(n) = n*(2*n-3).at n=42A014107
- Numbers k such that k divides 2^(k+1) - 2.at n=22A014741
- Numbers k such that k | (phi(k) * sigma(k)) but (phi(k) + sigma(k))/k does not increase.at n=30A015708
- Numbers n such that phi(n) * sigma(n) + 4 is a perfect square.at n=40A015727
- Positive integers n such that n | (2^n + n/2 - 1).at n=20A015942
- Numbers whose base-5 representation is the juxtaposition of two identical strings.at n=26A020333
- Expansion of 1/((1-x)*(1-5*x)*(1-6*x)*(1-9*x)).at n=3A022291
- n written in fractional base 5/3.at n=27A024633
- a(n) = a(1)*a(n-1) + a(2)*a(n-2) + ...+ a(n-1)*a(1) for n >= 2. Also a(n) = 3^n*C(n-1), where C = A000108 (Catalan numbers).at n=4A025226
- a(n) = Sum_{k=0..2n} (k+1) * A025177(n, k).at n=6A027261
- 9 times the triangular numbers A000217.at n=27A027468
- Positive numbers having the same set of digits in base 6 and base 10.at n=17A037437
- Base-5 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,2.at n=5A037498
- Coordination sequence T3 for Zeolite Code STF.at n=39A038442