3038
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 5472
- Proper Divisor Sum (Aliquot Sum)
- 2434
- 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
- 1260
- Möbius Function
- 0
- Radical
- 434
- Omega Function (Ω)
- 4
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 154
- 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
- Coordination sequence T10 for Zeolite Code EUO.at n=34A008096
- Coordination sequence T7 for Zeolite Code CON.at n=39A009874
- Coordination sequence T3 for Zeolite Code RSN.at n=36A009887
- Coordination sequence T5 for Zeolite Code VNI.at n=34A009911
- a(n) = floor(binomial(n,8)/8).at n=17A011854
- Initialized continued fraction for sqrt(n-th nonsquare) has period (1,a(n)).at n=25A013659
- Numbers with exactly 6 1's in their ternary expansion.at n=31A023697
- Sequence A025513 divided by 2.at n=5A025514
- Appending a digit to n^2 gives another perfect square.at n=15A031150
- Concatenation of n and n + 8 or {n,n+8}.at n=29A032613
- Numbers m such that m^2 ends in 444.at n=12A039685
- Base-6 palindromes that start with 2.at n=26A043011
- Numbers having four 2's in base 6.at n=4A043380
- Numbers k such that the string 4,5 occurs in the base 9 representation of k but not of k-1.at n=41A044292
- Numbers n such that string 3,8 occurs in the base 10 representation of n but not of n-1.at n=33A044370
- Numbers n such that string 3,8 occurs in the base 10 representation of n but not of n+1.at n=33A044751
- Number of graphs with a distinguished bipartite block, by number of vertices.at n=9A049312
- a(n)=T(n,n+3), array T as in A048149.at n=42A049719
- Molien series for group H_{1,3} of order 1152.at n=43A051530
- Coefficients of the '6th-order' mock theta function rho(q).at n=37A053270