3434
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5508
- Proper Divisor Sum (Aliquot Sum)
- 2074
- 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
- 1600
- Möbius Function
- -1
- Radical
- 3434
- 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
- 105
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = 1000*log(n) rounded to the nearest integer.at n=30A004241
- a(n) = ceiling(1000*log(n)).at n=30A004242
- Total preorders.at n=6A006328
- Series for second perpendicular moment of square lattice (eventually changes sign).at n=9A006730
- Coordination sequence T4 for Zeolite Code DFO.at n=45A009878
- Doublets: base-10 representation is the juxtaposition of two identical strings.at n=33A020338
- n written in fractional base 5/3.at n=34A024633
- Clog sequence in base 2. Right to left concatenation of n,int(log_2(n)),int(log_2(int(log_2(n)))),... in base 2.at n=41A028423
- Numbers with digits 3 and 4 only.at n=19A032834
- Shifts left under transform T where Ta is product of Partition Triangle A008284 with a.at n=11A039808
- Denominators of continued fraction convergents to sqrt(259).at n=7A041485
- Composite numbers whose 3 prime factors are distinct in length.at n=20A046443
- Pentagonal numbers multiplied by 2: a(n) = n*(3*n-1).at n=34A049450
- Starting positions of strings of 2 2's in the decimal expansion of Pi.at n=33A050215
- Number of basis partitions of n+25 with Durfee square size 5.at n=23A053800
- Numbers k such that k | sigma_5(k).at n=24A055709
- Numbers k such that k^256 + 1 is prime.at n=13A056995
- Even numbers k such that k/2 is nonprime and sigma(k+1) > sigma(k).at n=33A067827
- a(n) = k such that the k-th triangular number is A068808(n).at n=19A067991
- Number of basis partitions of n+81 with Durfee square size 9.at n=18A069252