7829
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 7830
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 7828
- Möbius Function
- -1
- Radical
- 7829
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 52
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 990
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Smallest nonnegative number that is the sum of 3 squares in exactly n ways.at n=36A000437
- Smallest number that is the sum of 3 squares in at least n ways.at n=36A000451
- Numbers k such that the continued fraction for sqrt(k) has period 23.at n=31A020362
- Least sum of 3 distinct nonzero squares in exactly n ways.at n=35A025415
- Number of partitions of n with equal number of parts congruent to each of 0 and 2 (mod 3).at n=43A035535
- Largest prime substring in 3^n (0 if none).at n=14A046269
- Largest prime substring in 9^n (0 if none).at n=7A046275
- Primes p such that p, p+12, p+24 are consecutive primes.at n=4A052188
- First member of a prime triple in a p^2 + p - 1 progression.at n=35A057324
- Squared radii of the spheres around (0,0,0) that contain record numbers of lattice points.at n=44A071609
- Initial terms of groups in A075639.at n=44A075641
- Primes prime(k) such that prime(k)*k falls between twin primes.at n=8A080174
- Primes in which odd positioned digits are composite and even positioned digits are primes. The least significant digit is the taken to be the first digit.at n=24A083821
- a(1) = 1; for n>1, a(n) = smallest prime > a(n-1) such that a(1)*...*a(n) + 2 is a prime.at n=43A085013
- Smallest prime having exactly n representations as a^2+b^2+c^2 with c >= b >= a > 0.at n=36A094714
- Least positive number having exactly n partitions into three squares.at n=36A095809
- Primes of the form [prime(n)*prime(n+1)+p]/2 with increasing p.at n=28A100558
- Sophie Germain type primes where 7*Prime[n]=2*Prime[m]+1.at n=32A104165
- Primes with digit sum = 26.at n=32A106764
- Triangle read by rows: T(n,k) = the number of Dyck paths of semilength n with k UDUU's, 0 <= k <= floor((n-1)/2).at n=27A116424