2734
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
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4104
- Proper Divisor Sum (Aliquot Sum)
- 1370
- 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
- 1366
- Möbius Function
- 1
- Radical
- 2734
- Omega Function (Ω)
- 2
- 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
- 40
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10-x^11-x^12).at n=44A017852
- Numbers k such that the continued fraction for sqrt(k) has period 88.at n=2A020427
- 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 52.at n=2A031550
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 32 ones.at n=9A031800
- Concatenation of n and n+7.at n=26A032612
- Numbers with the property that all pairs of consecutive base-5 digits differ by more than 2.at n=43A032982
- Numbers in which all pairs of consecutive base-5 digits differ by 3.at n=15A033076
- Number of partitions of n into parts not of form 4k+2, 12k, 12k+3 or 12k-3.at n=49A036018
- Base-5 palindromes that start with 4.at n=21A043009
- Numbers n such that string 6,7 occurs in the base 9 representation of n but not of n-1.at n=36A044312
- Numbers n such that string 3,4 occurs in the base 10 representation of n but not of n-1.at n=30A044366
- Numbers n such that string 6,7 occurs in the base 9 representation of n but not of n+1.at n=36A044693
- Numbers n such that string 3,4 occurs in the base 10 representation of n but not of n+1.at n=30A044747
- Numbers whose base-5 representation contains exactly two 1's and three 4's.at n=5A045258
- Becomes prime or 4 after exactly 7 iterations of f(x) = sum of prime factors of x.at n=27A048129
- Number of partitions into at most a(1) copies of 1, a(2) copies of 2, ...at n=38A052337
- a(n) = 2*a(n-1) + 3*a(n-2), a(0) = 1, a(1) = 4.at n=7A060925
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 92 ).at n=18A063365
- Numbers k such that A001414(k) is a square and sets a new record for squares.at n=16A064463
- Numbers that in base 2 need eleven 'Reverse and Add' steps to reach a palindrome.at n=33A066132