7097
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7296
- Proper Divisor Sum (Aliquot Sum)
- 199
- 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
- 6900
- Möbius Function
- 1
- Radical
- 7097
- 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
- 57
- 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
- no
- Odd
- yes
Appears in sequences
- Number of positive integers that are not the sum of distinct n-th-order polygonal numbers.at n=43A025524
- When expressed in base 2 and then interpreted in base 9, is a multiple of the original number.at n=47A062850
- Hexagonal spiral sequence: sequence is written as a hexagonal spiral around a 'dummy' center, each entry is the sum of the row in the previous direction containing the previous entry.at n=20A063178
- Values of A063178 on folding point positions of the spiral.at n=11A063253
- Semiprimes p1*p2 such that p2 mod p1 = 10, with p2 > p1.at n=41A064908
- Sum of the first moments of all partitions of n with weight starting at 1.at n=15A066184
- Perfect Abs: Imaginary part of complex z such that Abs[(Total[Divisors[z]]-z)]=Abs[z].at n=25A101366
- Imaginary part of absolute Gaussian perfect numbers, in order of increasing magnitude.at n=18A102532
- Number of permutations of length n which avoid the patterns 1234, 2431, 4213.at n=10A116813
- Maximum number of unit squares aligned with unit-spaced horizontal lines that can be enclosed by a circle of radius n.at n=48A124484
- a(n) = 338*n - 1.at n=20A157999
- Number of nondecreasing integer sequences of length 12 with sum zero and sum of absolute values 2n.at n=12A158146
- a(n) = 169*n - 1.at n=41A158219
- a(n) = 42*n^2 - 1.at n=12A158626
- Upper bound arising in Hadwiger's conjecture.at n=4A159484
- a(n) = -1 + n + 4*n^2.at n=42A182868
- Some numbers of the form 2*x^3 + y^3 + z^3 found by a certain algorithm.at n=15A195006
- a(n) = n^3 + 3*n + 3^n.at n=8A220509
- Minimum value unattainable as the sum of 2 attained values of a*b+a*c+b*c with a,b,c 0..n integers.at n=36A225272
- Integer k associated with the conjectured record-breaking maximal value A226665(n) of the minimal elements of primitive Collatz-like 3x+k cycles.at n=8A226666