7076
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 13020
- Proper Divisor Sum (Aliquot Sum)
- 5944
- 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
- 3360
- Möbius Function
- 0
- Radical
- 3538
- Omega Function (Ω)
- 4
- 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
- 57
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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 that are the sum of 10 positive 7th powers.at n=34A003377
- Numbers that are the sum of 6 nonzero 8th powers.at n=9A003384
- a(n) = A026626(2*n-1, n-2).at n=6A026631
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 42.at n=37A031540
- Number of odd split numbers (A036382) of which the binary order (A029837) is <= n, i.e., those which occur below 2^n.at n=14A036388
- Sequence arising in search for Legendre sequences.at n=13A039796
- Numbers k such that (k!)^2 + k! + 1 is prime.at n=9A051856
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 81 ).at n=37A063354
- Numbers m such that the numerator of Sum_{i=1..m} (i-1)/i is prime.at n=52A091815
- Row sums of triangle A105542, which equals the matrix square of triangle A105540.at n=10A105544
- Sum of the differences between the largest part and smallest part over all partitions of n into distinct parts.at n=33A117455
- Numbers k such that k and k^2 use only the digits 0, 5, 6, 7 and 9.at n=3A136964
- Conjectured positive numbers which have more than one representation (m,s) as a difference s^2 - m^5, m >= 1, s > 0.at n=22A177770
- Where A184593, the difference between 5n and A101306(n), becomes a new record in either direction.at n=47A184594
- Inverse permutation to A190130.at n=2A190131
- Number of 2n-bead necklaces labeled with numbers 1..7 not allowing reversal, with neighbors differing by exactly 1.at n=8A208726
- G.f.: A(x) = exp( Sum_{n>=1} x^n/n * Product_{k>=1} (1 + x^(n*k)) ).at n=20A218153
- Number of partitions of n into distinct parts with boundary size 7.at n=33A227564
- Second partial sums of eighth powers (A001016).at n=2A253636
- a(n) = 2^(n+1) + 3^n + 3.at n=8A254028