Properties of the Number 2312

Two Thousand Three Hundred Twelve

Basics

Value: 2311 → 2312 → 2313

Parity: even

Prime: No

Previous Prime: 2311

Next Prime: 2333

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 17 ²

Divisors: 1, 2, 4, 8, 17, 34, 68, 136, 289, 578

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 100100001000

Octal: 4410

Duodecimal: 1408

Hexadecimal: 908

Square: 5345344

Square Root: 48.08326112068523

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

a(n) = 2·n². A1105

Primorial base log-function: fully additive with a(p) = p#/p, where p# = A034386(p). A276085

Powerful numbers (A001694) that are not prime powers (A000961). A286708

Number of series-reduced planted trees with n leaves. Also the number of essentially series series-parallel networks with n edges; also the number of essentially parallel series-parallel networks with n edges. A669

Number of strict integer partitions of n containing the sum of some subset of the parts. A variation of sum-full strict partitions. A364272

Achilles numbers - powerful but imperfect: if n = Product(p_i^e_i) then all e_i > 1 (i.e., powerful), but the highest common factor of the e_i is 1, i.e., not a perfect power. A52486

a(n) = n*(n+1)²/2. A6002

Numbers obtained by reinterpreting base-2 representation of n in primorial base: a(0) = 0, a(2n) = A276154(a(n)), a(2n+1) = 1 + A276154(a(n)). A276156

Triangle read by rows: T(n,k) is the number of inequivalent colorings of lone-child-avoiding rooted trees with n colored leaves using exactly k colors. A339645

a(0) = 0 and then alternately even and odd numbers in increasing order such that the sum of any two successive terms is a square. A77221