7114
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10674
- Proper Divisor Sum (Aliquot Sum)
- 3560
- 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
- 3556
- Möbius Function
- 1
- Radical
- 7114
- 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
- 150
- 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
- Series for second perpendicular moment of square lattice.at n=11A006734
- Numbers k such that the continued fraction for sqrt(k) has period 79.at n=6A020418
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 11.at n=7A031599
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 36 ones.at n=29A031804
- Numbers whose set of base-13 digits is {1,3}.at n=27A032920
- Number of polyhexes with n cells.at n=8A038147
- Number of partitions of n such that the least part occurs exactly five times.at n=44A097093
- Positive integers n such that n^14 + 1 is semiprime (A001358).at n=33A104335
- Row 4 of table A162430.at n=17A162433
- Number of -n..n arrays x(0..3) of 4 elements with zero sum and nonzero first and second differences.at n=10A200456
- Number of 0..n arrays x(0..3) of 4 elements with nondecreasing average value and 0..n occur with instance counts within one of each other.at n=15A200943
- Number of (n+2) X 3 binary arrays avoiding patterns 001 and 110 in rows, columns and nw-to-se diagonals.at n=17A202440
- Number of compositions of n where differences between neighboring parts are in {-2,-1,1,2}.at n=22A214256
- a(n) is the number of digits in the decimal representation of the smallest power of n that contains eight consecutive identical digits.at n=15A217183
- Numbers k such that m^2 + k^2/m^2 is prime for every m|k.at n=41A236423
- Multiply a(n-1) by 2 and drop all 0's.at n=38A242350
- Semiprimes having only straight digits.at n=44A242739
- Indices of the start of 9 successive distinct digits in the decimal expansion of Pi.at n=16A258158
- T(n,k) = 1/k! * Sum_{i=0..k} (-1)^(k-i) *C(k,i) * A258306(n,i); triangle T(n,k), n>=0, 0<=k<=floor(n/2), read by rows.at n=26A258307
- Sum of the even singletons in all partitions of n (n>=0). A singleton in a partition is a part that occurs exactly once.at n=23A276425