1410
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 3456
- Proper Divisor Sum (Aliquot Sum)
- 2046
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 368
- Möbius Function
- 1
- Radical
- 1410
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 34
- 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
- Denominators of Bernoulli numbers B_{2n}.at n=46A002445
- a(n) = ceiling(n*phi^8), where phi is the golden ratio, A001622.at n=30A004963
- Number of factorization patterns of polynomials of degree n over integers.at n=14A006171
- Denominators of Bernoulli numbers B_0, B_1, B_2, B_4, B_6, ...at n=47A006954
- McKay-Thompson series of class 5B for the Monster group with a(0) = 0.at n=18A007252
- Coordination sequence T1 for Zeolite Code AFY.at n=31A008029
- Coordination sequence T1 for Zeolite Code APC.at n=26A008032
- Coordination sequence T9 for Zeolite Code EUO.at n=23A008104
- Coordination sequence T2 for Zeolite Code LOV.at n=25A008135
- Coordination sequence T2 for Zeolite Code MAZ.at n=26A008145
- Coordination sequence T1 for Moganite.at n=24A008258
- Coordination sequence T2 for Moganite, also for BGB1.at n=24A008259
- Coordination sequence for 4-dimensional RR-centered di-isohexagonal orthogonal lattice.at n=5A008528
- a(0) = 1, a(n) = 22*n^2 + 2 for n>0.at n=8A010012
- Numbers k such that phi(k) | sigma_11(k).at n=48A015769
- Numbers k such that phi(k) + 10 | sigma(k + 10).at n=35A015789
- Powers of fifth root of 3 rounded up.at n=33A018122
- Form a permutation of the positive integers, p_1, p_2, ..., such that the average of each initial segment is an integer, using the greedy algorithm to define p_n; sequence gives p_1 + ... + p_n.at n=46A019445
- a(n) = n*(7*n + 1)/2.at n=20A022265
- a(n) = Sum_{i=1..floor((n+2)/4)} a(2i-1)*a(n-2i+1), with a(1)=2, a(2)=1, and a(3)=3.at n=9A024961