9970
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17964
- Proper Divisor Sum (Aliquot Sum)
- 7994
- 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
- 3984
- Möbius Function
- -1
- Radical
- 9970
- 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
- 117
- 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 k such that 8*3^k - 1 is prime.at n=16A005541
- Powers of fifth root of 15 rounded down.at n=17A018156
- Powers of fifth root of 15 rounded to nearest integer.at n=17A018157
- Numbers k such that the continued fraction for sqrt(k) has period 49.at n=12A020388
- Numbers that are divisible by 5 and are the difference between two (different positive) cubes in at least one way.at n=42A038853
- Numbers that are divisible by 10 and are differences between two cubes in at least one way.at n=13A038854
- Number of partitions satisfying cn(0,5) < cn(1,5) + cn(4,5) + cn(2,5) + cn(3,5).at n=32A039848
- Triangle T(n,k) (0<= k <=n) read by rows. Left edge is 1, 0, 0, ... Otherwise each entry is sum of entry to left, entries immediately above it to left and right and entry directly above it 2 rows back.at n=50A059283
- Interprimes which are of the form s*prime, s=10.at n=23A075285
- Natural numbers of the form p^3 - q^3, where p and q are primes.at n=31A086120
- Numbers k such that k and k^2 use only the digits 0, 1, 4, 7 and 9.at n=23A136865
- Numbers k such that k and k^2 use only the digits 0, 2, 4, 7 and 9.at n=22A136907
- Numbers k such that k and k^2 use only the digits 0, 3, 4, 7 and 9.at n=13A136934
- Numbers k such that k and k^2 use only the digits 0, 4, 5, 7 and 9.at n=10A136952
- Numbers k such that k and k^2 use only the digits 0, 4, 6, 7 and 9.at n=14A136955
- Numbers k such that k and k^2 use only the digits 0, 4, 7, 8 and 9.at n=22A136959
- Numbers k such that k and k^2 use only the digits 0, 4, 7 and 9.at n=9A136960
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (1, 0, -1), (1, 0, 1), (1, 1, -1)}.at n=8A149360
- G.f.: A(x) = exp( Sum_{n>=1} 2^n * x^n/(n*(1+x^n)) ).at n=14A165941
- Numbers k such that the period of Fibonacci numbers mod k is 3*(k+10).at n=43A229466