1234
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 1854
- Proper Divisor Sum (Aliquot Sum)
- 620
- 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
- 616
- Möbius Function
- 1
- Radical
- 1234
- 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
- 132
- 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
- Number of nonnegative solutions to x^2 + y^2 <= n^2.at n=39A000603
- Concatenations of cyclic permutations of initial positive integers.at n=6A001292
- Blocks of increasing length using 1,2,3,...,9,10; omit leading 0's.at n=4A001369
- a(n) = 1 + Sum_{i=1..n} (n-i+1)*phi(i).at n=22A005598
- Number of n X n binary matrices with no 2 adjacent 1's, or number of configurations of non-attacking princes on an n X n board, where a "prince" attacks the four adjacent (non-diagonal) squares. Also number of independent vertex sets in an n X n grid.at n=4A006506
- Number of factors in the infinite word formed by the Kolakoski sequence A000002.at n=39A007782
- Triangle of the gods: to get a(n), concatenate the decimal numbers 1,2,3,...,n.at n=3A007908
- Coordination sequence T1 for Zeolite Code BOG.at n=25A008049
- Coordination sequence T3 for Zeolite Code BRE.at n=23A008060
- Coordination sequence T1 for Zeolite Code DDR.at n=22A008071
- Coordination sequence T2 for Zeolite Code SGT.at n=22A008230
- If x and y are terms, so is x*y + 9.at n=13A009350
- Coordination sequence T4 for Zeolite Code DFO.at n=27A009878
- Coordination sequence for MgNi2, Position Ni2.at n=9A009932
- Number of trees on n nodes with forbidden limbs.at n=13A014270
- a(0) = 0; for n>0, a(n) = 10*a(n-1) + n.at n=4A014824
- Number of parts in all partitions of n into distinct parts.at n=29A015723
- Numbers k such that phi(k) + 4 | sigma(k + 4).at n=45A015783
- Numbers k such that the continued fraction for sqrt(k) has period 30.at n=9A020369
- Positive numbers k such that k and 3*k are anagrams in base 5 (written in base 5).at n=1A023062