7429
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
- 8
- Divisor Sum
- 8640
- Proper Divisor Sum (Aliquot Sum)
- 1211
- 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
- 6336
- Möbius Function
- -1
- Radical
- 7429
- 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
- 39
- 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
- no
- Odd
- yes
Appears in sequences
- Eleven iterations of Reverse and Add are needed to reach a palindrome.at n=12A015992
- From George Gilbert's marks problem: jumping 4 marks at a time (initial positions).at n=16A019595
- Numbers k such that the continued fraction for sqrt(k) has period 94.at n=16A020433
- For n>0, a(n) is the least quasi-Carmichael number to base n; a(0) = least composite squarefree integer.at n=16A029590
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 46 ones.at n=24A031814
- a(1) = 2; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=46A033679
- Number of partitions of n into parts not of the form 7k, 7k+3 or 7k-3. Also number of partitions such that the differences between parts at distance 2 are greater than 1.at n=48A035939
- Product of 3 successive primes.at n=6A046301
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A049747.at n=28A049748
- Number of cyclically symmetric transpose complement plane partitions in a 2n X 2n X 2n box.at n=5A051255
- Number of cyclic graphs with oriented edges on n nodes (up to symmetry of dihedral group).at n=17A053656
- a(n) = Product_{p in P_n} where P_n = {p prime, n/2 < p <= n }.at n=27A055773
- a(n) = Product_{p in P_n} where P_n = {p prime, n/2 < p <= n }.at n=26A055773
- a(n) = Product_{p in P_n} where P_n = {p prime, n/2 < p <= n }.at n=28A055773
- The powerfree part of the central binomial coefficients.at n=26A056060
- The powerfree part of the central binomial coefficients.at n=27A056060
- Surround numbers of a length 2n zig-zag.at n=23A060641
- Product of primes prime(3*n+1), prime(3*n+2), prime(3*n+3).at n=2A061466
- Number of orbits of the group of units of Z/(n) acting naturally on the 4-subsets of Z/(n).at n=42A063381
- Numbers which need eleven 'Reverse and Add' steps to reach a palindrome.at n=11A065216