7437
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10336
- Proper Divisor Sum (Aliquot Sum)
- 2899
- 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
- 4752
- Möbius Function
- -1
- Radical
- 7437
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 132
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- no
- Odd
- yes
Appears in sequences
- Diagonals of Pascal's triangle mod 2 interpreted as binary numbers.at n=24A006921
- Numerators of continued fraction convergents to sqrt(929).at n=5A042796
- Moments of generalized Motzkin paths.at n=12A053441
- Smallest nontrivial multiple of n ending in n. By nontrivial one means a(n) is not equal to n or concatenation of n with itself.at n=36A083466
- a[n]=A098210[n]/15.at n=2A099638
- Start with 1015 and repeatedly reverse the digits and add 4 to get the next term.at n=17A117807
- Start with 1027 and repeatedly reverse the digits and add 16 to get the next term.at n=71A119455
- Start with 1013 and repeatedly reverse the digits and add 2 to get the next term.at n=35A120214
- Irregular triangle read by rows: the number of hydrocarbon structures that can be drawn with a given number of carbons and units of unsaturation.at n=44A134819
- Number of binary words of length n containing at least one subword 10^{8}1 and no subwords 10^{i}1 with i<8.at n=47A143288
- a(n) = (3*n+1)*(5*n+1).at n=22A144459
- a(n) = 338*n + 1.at n=21A158000
- a(n) = 676*n + 1.at n=10A158386
- a(n) = 44*n^2 + 1.at n=13A158630
- Indices of records in A165633.at n=11A165761
- Index of first occurrence of n in A165633.at n=19A165765
- Partial sums of A027642.at n=26A173242
- Partial sums of A048995.at n=31A174514
- Number of nondecreasing arrangements of 4 numbers in -(n+2)..(n+2) with sum zero and not more than two numbers equal.at n=28A188237
- a(n) = n*(11*n-5)/2.at n=37A226492