9747
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 15240
- Proper Divisor Sum (Aliquot Sum)
- 5493
- 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
- 6156
- Möbius Function
- 0
- Radical
- 57
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 122
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers n such that n divides 2^n + 1.at n=14A006521
- Minimal absolute value of discriminants of number fields of degree n.at n=5A006557
- Numbers k that divide s(k), where s(1)=1, s(j)=7*s(j-1)+j.at n=42A014854
- Numbers k such that k divides 4^k - 1.at n=42A014945
- Numbers k such that k divides s(k), where s(1)=1, s(j)= s(j-1) + j*7^(j-1).at n=24A014948
- a(n) = (2*n - 11)*n^2.at n=19A015245
- Numbers k such that k | 8^k + 1.at n=17A015955
- Pseudo-powers to base 3: numbers k that are not powers of 3 such that k divides 2^k + 1.at n=5A016057
- Discriminants of totally complex sextic fields (negated).at n=0A023687
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 19 (most significant digit on left).at n=44A029464
- Base 8 digits are, in order, the first n terms of the periodic sequence with initial period 2,3,0.at n=4A037629
- Numbers k that divide 4^k + 2^k or 8^k + 4^k.at n=38A045577
- Numbers k that divide 7^k + 2^k.at n=30A045580
- a(n) = Sum_{i=0..floor(n/2)} T(2i,n-2i), array T as in A049735.at n=20A049738
- 4n^2+1, 2n^2+1, 2n^2-1 are all prime.at n=26A055755
- Numbers n such that n | 12^n + 11^n + 10^n + 9^n + 8^n + 7^n.at n=28A057257
- Nonprimes which terminate in their sum of prime factors.at n=33A071173
- Binomial transform of expansion of exp(2cosh(x)), A000807.at n=8A081562
- Partial sums of n 3-spaced triangular numbers beginning with t(3), e.g., a(2) = t(3)+t(6) = 6+21 = 27.at n=17A085788
- Signed array used for numerators of generating functions of the column sequences of array A090452.at n=50A091029