4711
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
- 5392
- Proper Divisor Sum (Aliquot Sum)
- 681
- 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
- 4032
- Möbius Function
- 1
- Radical
- 4711
- 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
- 59
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) is the position of square of n-th prime among the powers of primes (A000961).at n=46A024624
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 22 (most significant digit on left).at n=13A029491
- Conjecturally, a power of 2 written in base 3 cannot have this many 2's.at n=33A036463
- Positive numbers having the same set of digits in base 8 and base 10.at n=24A037442
- Numerators of continued fraction convergents to sqrt(344).at n=7A041650
- Denominators of continued fraction convergents to sqrt(622).at n=9A042195
- Number of nonempty subsets of {1,2,...,n} in which exactly 2/5 of the elements are <= (n-1)/2.at n=15A047177
- Number of nonempty subsets of {1,2,...,n} in which exactly 2/5 of the elements are <= (n-2)/2.at n=15A047188
- Sum of a(n) terms of 1/k^(6/7) first exceeds n.at n=17A056183
- Numbers k that divide the sum of the first k partition numbers (A000041) and the sum of the first k unique partition numbers (A000009).at n=10A059218
- Composite and every divisor (except 1) contains the digit 7.at n=18A062676
- Frobenius number of the numerical semigroup generated by three consecutive pyramidal numbers.at n=5A069762
- Molien series for action of SL(3,C) on ternary forms of degree 4.at n=24A083024
- Number of partitions of {1...n} containing 2 strings of 3 consecutive integers, where each string is counted within a block and a string of more than 3 consecutive integers are counted three at a time.at n=6A105484
- Column 5 of array illustrated in A089574 and related to A034261.at n=6A107600
- Concatenation of n and the sum of the digits of n.at n=47A108773
- Column 11 of table A105552.at n=4A110554
- a(0)=1, a(1)=1, a(n)=7*a(n/2) for n=2,4,6,..., a(n)=6*a((n-1)/2)+a((n+1)/2) for n=3,5,7,....at n=26A116522
- Partial sums of A000149.at n=8A117869
- Triangle read by rows: T(i,j) = (T(i-1,j) + i)*i.at n=24A121682