2401
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 5
- Divisor Sum
- 2801
- Proper Divisor Sum (Aliquot Sum)
- 400
- 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
- 2058
- Möbius Function
- 0
- Radical
- 7
- Omega Function (Ω)
- 4
- 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
- yes
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 164
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- yes
- Achilles Number
- no
- Perfect Power
- yes
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Powers of 7: a(n) = 7^n.at n=4A000420
- Squares that are not the sum of 2 nonzero squares.at n=31A000548
- Fourth powers: a(n) = n^4.at n=7A000583
- Numbers k such that (1,k) is "good".at n=33A000696
- Numbers of form 2^i*7^j, with i, j >= 0.at n=30A003591
- Numbers of the form 3^i*7^j with i, j >= 0.at n=20A003594
- Numbers of the form 5^i*7^j with i, j >= 0.at n=14A003595
- Numbers of the form 7^i*11^j.at n=10A003599
- Square array read by upwards antidiagonals: T(n,k) = n^k for n >= 0, k >= 0.at n=70A003992
- Array read by ascending antidiagonals: A(n, k) = k^n.at n=73A004248
- Numbers that are the sum of at most 2 nonzero 4th powers.at n=27A004831
- Sum of 4th powers of primes dividing n.at n=6A005065
- Sum of 4th powers of primes dividing n.at n=48A005065
- Sum of 4th powers of odd primes dividing n.at n=6A005068
- Sum of 4th powers of odd primes dividing n.at n=27A005068
- Sum of 4th powers of odd primes dividing n.at n=13A005068
- Sum of 4th powers of odd primes dividing n.at n=48A005068
- Sum of 4th powers of primes = 1 mod 3 dividing n.at n=13A005073
- Sum of 4th powers of primes = 1 mod 3 dividing n.at n=6A005073
- Sum of 4th powers of primes = 1 mod 3 dividing n.at n=20A005073