Properties of the Number 3460

Three Thousand Four Hundred Sixty

Basics

Value: 3459 → 3460 → 3461

Parity: even

Prime: No

Previous Prime: 3457

Next Prime: 3461

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 5 × 173

Divisors: 1, 2, 4, 5, 10, 20, 173, 346, 692, 865

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110000100

Octal: 6604

Duodecimal: 2004

Hexadecimal: d84

Square: 11971600

Square Root: 58.82176467941097

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

G.f. A(x) defined by: A(x)² consists entirely of integer coefficients between 1 and 2 (A083952); A(x) is the unique power series solution with A(0)=1. A84202

Sorted positions of first appearances in A057820, the sequence of first differences of prime-powers. A376340

Numbers of the form k + wt(k) for exactly three distinct k, where wt(k) = A000120(k) is the binary weight of k. A230092

a(n) = a(n-1) + a(m) for n >= 4, where m = 2·n - 2 - 2^p+1 and p is the unique integer such that 2^p < n - 1 <= 2^p+1, starting with a(1) = 1 and a(2) = a(3) = 2. A50047

Numbers n such that 5·10ⁿ-1 is prime. A56712

Numerator of Hermite(n, 1/17). A159529

T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its king-move neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281139

Sum of the fourth largest parts in the partitions of n into 7 parts. A308930

Numbers that are the sum of ten fourth powers in four or more ways. A345597

Numbers that are the sum of ten fourth powers in exactly four ways. A345856