5601
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7472
- Proper Divisor Sum (Aliquot Sum)
- 1871
- 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
- 3732
- Möbius Function
- 1
- Radical
- 5601
- 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
- 67
- 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
- Truncated square numbers: 7*n^2 + 4*n + 1.at n=28A005892
- a(n) = Sum_{k=1..n} k*phi(k).at n=29A011755
- Numbers k such that the continued fraction for sqrt(k) has period 86.at n=10A020425
- 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 48.at n=33A031546
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 36 ones.at n=20A031804
- Maximal base 7 run length is 4.at n=21A037991
- Smallest of three consecutive squarefree numbers k, k+1, k+2 of the form p*q where p and q are distinct primes.at n=47A039833
- Numbers whose base-7 representation contains exactly four 2's.at n=9A043404
- a(n) = smallest nonnegative integer not the Nim sum of at most 4 earlier terms.at n=46A054016
- Number of orbits of length n under a map whose periodic points are counted by A056045.at n=20A060173
- a(n) = (9*n^2 + 5*n + 2)/2.at n=35A064225
- Positions of check bits in code in A075934.at n=33A075936
- Number of n-bit strings that contain no more than 4 zeros and no more than 2 leading and 2 trailing zeros.at n=12A102026
- a(n) is the number of distinct n-th powers of functions {1, 2, 3, 4, 5, 6} -> {1, 2, 3, 4, 5, 6}.at n=16A103950
- a(n) is the number of distinct n-th powers of functions {1, 2, 3, 4, 5, 6} -> {1, 2, 3, 4, 5, 6}.at n=28A103950
- a(n) is the number of distinct n-th powers of functions {1, 2, 3, 4, 5, 6} -> {1, 2, 3, 4, 5, 6}.at n=8A103950
- a(n) is the number of distinct n-th powers of functions {1, 2, 3, 4, 5, 6} -> {1, 2, 3, 4, 5, 6}.at n=32A103950
- a(n) = 49n^2 - 28n - 20.at n=10A118058
- Number of squares on infinite chessboard that a knight can reach in n moves from a fixed square.at n=28A118312
- a(0)=1; a(n) = gcd(a(n-1), n) + lcm(a(n-1), n).at n=7A129091