Properties of the Number 2424

Two Thousand Four Hundred Twenty-Four

Basics

Value: 2423 → 2424 → 2425

Parity: even

Prime: No

Previous Prime: 2423

Next Prime: 2437

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 101

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 101, 202

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 100101111000

Octal: 4570

Duodecimal: 14A0

Hexadecimal: 978

Square: 5875776

Square Root: 49.23413450036468

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

Doublets: base-10 representation is the juxtaposition of two identical strings. A20338

Expansion of e.g.f. exp(4x) * I₀(2x). A81671

Number of non-self-conjugate partitions of n. A330644

T(n,k)=Number of length n 0..k arrays with each partial sum starting from the beginning no more than one standard deviation from its mean. A244788

Number of cyclic compositions (necklaces of positive integers) summing to n that have only one part or whose consecutive parts (including the last with first) are indivisible. A318729

Numbers k such that φ(x) = k has exactly 7 solutions. A60670

a(n) = a(n,m) = ∑_k=0..n binomial(m·k,k)*binomial(m*(n-k),n-k) for m=6. A79679

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. exp(k·x)*BesselI(0,2·x). A292627

Let u be any string of n digits from {0,...,4}; let f(u) = number of distinct primes, not beginning with 0, formed by permuting the digits of u to a base-5 number; then a(n) = max_u f(u). A65846

Consider Post's tag system applied to the word (100)ⁿ; a(n) = position of the longest word in the orbit, or -1 if the orbit is unbounded. A291796