7075
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 8804
- Proper Divisor Sum (Aliquot Sum)
- 1729
- 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
- 5640
- Möbius Function
- 0
- Radical
- 1415
- Omega Function (Ω)
- 3
- 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
- 31
- 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
- no
- Odd
- yes
Appears in sequences
- Number of n-stacks with strictly receding walls, or the number of Type A partitions of n in the sense of Auluck (1951).at n=35A001522
- Numbers that are the sum of 9 positive 7th powers.at n=31A003376
- Numbers that are the sum of 5 nonzero 8th powers.at n=8A003383
- Numbers that are the sum of at most 5 nonzero 8th powers.at n=32A004878
- Coordination sequence for MgNi2, Position Ni3.at n=21A009934
- Number of subsets of {1,...,n} containing an arithmetic progression of length 3.at n=13A018788
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6, ..., 1/2n} satisfy r < s, then r < k/m < (k+4)/m < s for some integer k.at n=27A024848
- T(n, 2*n-3), T given by A027960.at n=32A027965
- Triangle of up-down sums of k-th powers: a(n,k)=sum(i^k,i=1..n)+sum((n-i)^k,i=1..n-1), n,k>0.at n=52A051672
- McKay-Thompson series of class 22A for Monster.at n=22A058567
- a(n) = (n^3 + 6n^2 - n + 12)/6.at n=33A074742
- Difference between the n-th partial sum of the squares (A000330) and the n-th partial sum of the primes (A007504).at n=28A108753
- 3-almost primes that are the sum of 2 positive cubes. Sums of 2 positive cubes, with the sums having exactly 3 prime divisors counted with multiplicity.at n=25A122732
- Numbers k such that k and k^2 use only the digits 0, 2, 5, 6 and 7.at n=44A136912
- Starts with 2; has two properties: concatenation of its digits is same string as concatenation of digits of its first differences and sequence and first differences have no term in common. When there is a choice in choosing the next term in the first differences, choose the smallest number not yet present in either the sequence or its first differences.at n=33A139334
- a(n) = (11*n^2 + 19*n + 10)/2.at n=35A160749
- Numbers k such that |2^k - 57| is prime.at n=36A165778
- Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A064613.at n=40A171568
- Numbers x such that 0 < |x^7 - y^4| < x^(17/4) for some number y.at n=5A173358
- Number of (n+1) X 2 0..2 arrays with every 2 x 2 subblock summing to 4.at n=6A183624