1074
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2160
- Proper Divisor Sum (Aliquot Sum)
- 1086
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 356
- Möbius Function
- -1
- Radical
- 1074
- 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
- 23
- 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
- Numbers of the form (p^2 - 1)/120 where p is 1 or prime.at n=32A002381
- Sum of logarithmic numbers.at n=5A002748
- a(n) = floor(n*phi^7), where phi is the golden ratio, A001622.at n=37A004922
- a(n) = round(n*phi^7), where phi is the golden ratio, A001622.at n=37A004942
- Number of nonequivalent dissections of a polygon into n pentagons by nonintersecting diagonals rooted at a cell up to rotation and reflection.at n=5A005039
- Related to representations as sums of Fibonacci numbers.at n=21A006133
- Numerators of worst case for Engel expansion.at n=24A006539
- Number of 2n-step polygons on honeycomb.at n=12A006774
- Coordination sequence T2 for Zeolite Code ERI.at n=24A008094
- Coordination sequence T1 for Zeolite Code CON.at n=23A009868
- Coordination sequence T4 for Zeolite Code iRON.at n=23A009884
- Aliquot sequence starting at 1074.at n=0A014364
- Numbers k such that phi(k + 11) | sigma(k).at n=31A015831
- Numbers k such that the continued fraction for sqrt(k) has period 14.at n=49A020353
- a(n) = n*(15*n - 1)/2.at n=12A022272
- n-th 6k+1 prime plus n-th 6k+5 prime.at n=48A022759
- Number of partitions of n into 9 unordered relatively prime parts.at n=24A023029
- Convolution of A023531 and Lucas numbers.at n=14A023558
- Position of n^3 + (n+1)^3 in A003325.at n=38A024669
- a(n) = [ 1/(2*t(n+1) - t(n) - t(n+2)) ], where t(n) = tan(Pi/2 - 1/n) satisfies n-1 < t(n) < n for all n >= 1.at n=7A024817