Properties of the Number -2401

Four Hundred One

Basics

Value: -2402 → -2401 → -2400

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 7 ⁴

Divisors: 1, 7, 49, 343, 2401

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: -100101100001

Octal: -4541

Duodecimal: -1481

Hexadecimal: -961

Square: 5764801

Square Root: 49

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Dirichlet g.f.: 1 / ζ(s-4). A334660

a(1) = 1; a(n+1) = a(n) +- (sum of digits of a(1) up to a(n)), with "+" when a(n) is odd, or "-" if even. A332058

Expansion of (1 - x + x²)*(1 + x + x² - x³ + 2·x⁴)/((1 - x)*(1 + x)²*(1 + x²)*(1 + x - x² + x³)). A104237

Triangle T(n, k) = k⁴ - n⁴ + 2·k*n*(1 - k²*n²), read by rows. A123963

A triangular sequence from the Z/nZ matrix addition tables as in sequence A095897 as coefficients of characteristic polynomials: M(n,m)=Mod[n + m, d] for n <=m<=d. A138064

Scaled row sum zero vector recursion:s=7; v(n)={sⁿ⁺¹,sⁿ⁺¹-Sum[sⁱ,{i,2,n}],sⁿ,...,-1}/s². A152861

The squares: a(n) = n². A290

Fourth powers: a(n) = n⁴. A583

Odd squares: a(n) = (2n+1)². Also centered octagonal numbers. A16754

1 and the prime powers p^m where m >= 2, thus excluding the primes. A25475