9412
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17836
- Proper Divisor Sum (Aliquot Sum)
- 8424
- 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
- 4320
- Möbius Function
- 0
- Radical
- 4706
- 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
- 34
- 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
- a(n) = (d(n)-r(n))/5, where d = A026040 and r is the periodic sequence with fundamental period (4,0,4,3,4).at n=49A026042
- Number of partitions of n such that cn(0,5) = cn(2,5) <= cn(1,5) = cn(3,5) = cn(4,5).at n=74A036855
- Numbers k such that k^256 + 1 is prime.at n=30A056995
- Number of ways of making change for n cents using coins of sizes 1, 2, 5, 10 cents, when order matters.at n=18A073031
- "Fibonacci-digits": start with "11", append sum of first 2 digits to the preceding number, drop first digit.at n=8A093099
- Number of (ordered) sequences of coins (each of which has value 1, 2, 5, 10, 20, 50, 100 or 200) which add to n.at n=18A114138
- Number of ordered sequences of coins (each of which has value 1, 2, 5, 10 or 20) which add to n.at n=18A114140
- 3*Volume of the root-n Waterman polyhedron as defined in A119870.at n=42A119873
- Expansion of (eta(q^2)^9 / (eta(q)^2 * eta(q^4)^4))^2 in powers of q.at n=49A138504
- The Szeged index of third type dendrimer nanostar which has grown n stages.at n=0A143367
- Total Wiener index of double-star trees with n nodes.at n=23A186235
- Number of 0..n arrays x(0..4) of 5 elements with each no smaller than the sum of its three previous neighbors modulo (n+1).at n=8A200669
- n - (sum of prime factors of n) is a positive square.at n=42A216894
- Series reversion of x + 2*x^2 + x^4.at n=6A217362
- Number of partitions of n for which 2*(number of distinct parts) > (number of parts).at n=38A237365
- Number of (n+2)X(1+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010101.at n=8A260834
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010101.at n=36A260841
- T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010101.at n=44A260841
- Numbers that are the largest value in the Collatz (3x+1) trajectories of exactly six initial values.at n=35A274467
- Numbers missing from A001033 despite satisfying the necessary congruence conditions (see comments).at n=10A274470