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Properties of the Number 1234

One Thousand Two Hundred Thirty-Four

Basics

Value: 1233 → 1234 → 1235

Parity: even

Prime: No

Previous Prime: 1231

Next Prime: 1237

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 2 × 617

Divisors: 1, 2, 617, 1234

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10011010010

Octal: 2322

Duodecimal: 86A

Hexadecimal: 4d2

Square: 1522756

Square Root: 35.12833614050059

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

Triangle of the gods: to get a(n), concatenate the decimal numbers 1,2,3,...,n. A7908
Numbers of pattern-matching permutations of (1234) for the permutations of {1, 2, ..., n} on n = 4, 5, 6, ... elements. A158005
Number of strict integer partitions of n containing the sum of some subset of the parts. A variation of sum-full strict partitions. A364272
Number of parts in all partitions of n into distinct parts. A15723
Number of integer partitions of n without all distinct multiplicities. A336866
a(0) = 0; for n>0, a(n) = 10·a(n-1) + n. A14824
Number of permutations in Sn with longest increasing subsequence of length <= 3 (i.e., 1234-avoiding permutations); vexillary permutations (i.e., 2143-avoiding). A5802
Number of n X n binary matrices with no 2 adjacent 1's, or number of configurations of non-attacking princes on an n X n board, where a "prince" attacks the four adjacent (non-diagonal) squares. Also number of independent vertex sets in an n X n grid. A6506
Decimal representation of permutations of lengths 1, 2, 3, ... arranged lexicographically. A30299
Number of binary words of length n with all distinct run-lengths. A351017