9625
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 14976
- Proper Divisor Sum (Aliquot Sum)
- 5351
- 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
- 6000
- Möbius Function
- 0
- Radical
- 385
- Omega Function (Ω)
- 5
- 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
- 47
- 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
- Degrees of irreducible representations of McLaughlin group McL.at n=19A003909
- Degrees of irreducible representations of Conway group Co3.at n=15A003910
- Degrees of irreducible representations of Conway group Co3.at n=16A003910
- Degrees of irreducible representations of Conway group Co2.at n=9A003911
- Degrees of irreducible representations of Conway group Co2.at n=10A003911
- A sixth-order linear divisibility sequence: a(n+6) = -3*a(n+5) - 5*a(n+4) - 5*a(n+3) - 5*a(n+2) - 3*a(n+1) - a(n).at n=24A005120
- Numbers k such that k^2 and k have same last 3 digits.at n=39A008853
- [ exp(11/17)*n! ].at n=6A030889
- Numbers whose prime factors are in {5, 7, 11}.at n=38A036490
- Transformation of A036490: 5^a*7^b*11^c -> 5^a*7^floor((b+2)/2)*11^c.at n=38A036491
- Numbers whose base-4 representation contains exactly four 1's and three 2's.at n=24A045108
- Numbers m such that m^2 can be obtained from m by inserting an internal block of (contiguous) digits.at n=16A045953
- Odd numbers with only palindromic prime factors whose sum is palindromic (counted with multiplicity).at n=32A046356
- Odd numbers with exactly 5 palindromic prime factors (counted with multiplicity).at n=34A046375
- Numbers k such that k^2 can be obtained from k by inserting a block of digits.at n=23A046838
- Numbers n such that n^2 can be obtained from n by inserting internal (but not necessarily contiguous) digits.at n=45A046851
- Composite numbers k with no prime factor among (2, 3) (cf. A038509) and such that phi(k) < 2*k/3.at n=29A069043
- Numbers n such that A001414(n) = sum of composites from the smallest prime factor of n to the largest prime factor of n.at n=3A074053
- phi(n) + n is a cube.at n=24A114074
- a(n) = 12 + floor((1 + Sum_{j=1..n-1} a(j))/4).at n=30A120169