7653
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10208
- Proper Divisor Sum (Aliquot Sum)
- 2555
- 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
- 5100
- Möbius Function
- 1
- Radical
- 7653
- Omega Function (Ω)
- 2
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 83
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- a(n) = floor(n*(n-1)*(n-2)/9).at n=42A011891
- Convolution of A023532 and (F(2), F(3), F(4), ...).at n=17A023600
- Numbers with exactly 7 1's in their ternary expansion.at n=22A023698
- n written in fractional base 8/7.at n=27A024649
- Number of 6's in all partitions of n.at n=35A024790
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 58.at n=24A031556
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^3)/(1-x^5)/(1-x^8).at n=37A034379
- Sums of 7 distinct powers of 3.at n=14A038469
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 10.at n=22A050959
- Composite n such that the sums of the composite numbers up to n, +/- 1, are twin primes.at n=39A065022
- a(n) = 1 + (the n-th term in sequence A_n, ignoring the offset), or a(n) = -1 if A_n has fewer than n terms.at n=16A102288
- a(n) = 1 + A_n(n), or a(n) = -1 if sequence A_n is not defined up to index n.at n=16A107357
- Least positive k such that 2^n + k is a Chen prime and 2^n + k + 2 is a brilliant number.at n=38A109364
- Numbers n such that 2*prime(n) - prime(n+1) is a square.at n=39A110975
- a(n) = 5*a(n-1)+a(n-2)-2*a(n-3).at n=6A120464
- Numbers k such that A120292(k) is composite.at n=42A141779
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, 1, 1), (1, -1, 0), (1, 0, -1)}.at n=8A149030
- Numbers k such that 120*k + 1 is a term in A163573.at n=32A163625
- Triangle interpolating the swinging factorial (A056040) restricted to odd indices with its binomial transform. Same as interpolating the beta numbers 1/beta(n,n) (A002457) with (A163869). Triangle read by rows, for n >= 0, k >= 0.at n=15A163842
- Binomial transform of the beta numbers 1/beta(n+1,n+1) (A002457).at n=5A163869