7600
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 19220
- Proper Divisor Sum (Aliquot Sum)
- 11620
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 0
- Radical
- 190
- Omega Function (Ω)
- 7
- 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
- 31
- 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
- Discriminants of totally real quartic fields (see comments).at n=26A002769
- Theta series of D_5 lattice.at n=38A005930
- Numbers k such that the decimal expansion of k^2 contains k as a substring.at n=23A018834
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly seven 1's.at n=37A020443
- Fibonacci sequence beginning 1, 32.at n=13A022402
- Discriminants of totally real quartic fields.at n=34A023680
- a(n) = (prime(n+2)^2 - 1)/3.at n=33A024700
- Substring of both its square and its cube.at n=22A029943
- Numbers that, when expressed in base 5 and then interpreted in base 10, yield a multiple of the original number.at n=42A032543
- Number of diagonal dissections of an n-gon into 3 regions.at n=15A033275
- Number of partitions in parts not of the form 15k, 15k+3 or 15k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 6 are greater than 1.at n=36A035957
- Number of unrooted self-avoiding walks of n steps on square lattice.at n=10A037245
- Numerators of continued fraction convergents to sqrt(775).at n=5A042494
- a(n) = n^3 - n^2.at n=20A045991
- Internal digits of n^2 include digits of n as subsequence.at n=28A046834
- Internal digits of n^2 include digits of n as substring.at n=12A046836
- T(n,n-4), where T is the array in A055830.at n=31A055831
- Number of 2 X 2 singular integer matrices with elements from {0,...,n}.at n=31A059306
- Numbers k such that k^2 has k as its middle digits.at n=5A062118
- Number of basis partitions (or basic partitions) of n.at n=47A066447