2404
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 4214
- Proper Divisor Sum (Aliquot Sum)
- 1810
- 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
- 1200
- Möbius Function
- 0
- Radical
- 1202
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 58
- 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
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a new record; sequence gives (nearest integer to, I believe) P(A000092(n)).at n=43A000223
- Coordination sequence T1 for Zeolite Code FAU.at n=41A008105
- Coordination sequence T3 for Zeolite Code MTW.at n=32A008198
- Coordination sequence for diamond.at n=31A008253
- Coordination sequence for CaF2(2), F position.at n=31A009925
- Shifts 5 places right under binomial transform.at n=10A010744
- Shifts 5 places left under inverse binomial transform.at n=15A010745
- Coordination sequence T3 for Zeolite Code TER.at n=33A016435
- Numbers k such that the continued fraction for sqrt(k) has period 54.at n=4A020393
- Numbers k such that Fibonacci(k) == 3 (mod k).at n=29A023175
- Number of 7's in all partitions of n.at n=31A024791
- 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 24.at n=26A031522
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 18 ones.at n=44A031786
- Numerators of continued fraction convergents to sqrt(926).at n=3A042790
- a(n)=A033005(n)/8.at n=44A043311
- Numbers whose base-7 representation contains exactly three 0's.at n=8A043395
- Numbers having three 4's in base 8.at n=22A043439
- Numbers n such that string 4,4 occurs in the base 8 representation of n but not of n-1.at n=37A044223
- Numbers n such that string 6,1 occurs in the base 9 representation of n but not of n-1.at n=32A044306
- Numbers n such that string 0,4 occurs in the base 10 representation of n but not of n-1.at n=25A044336