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Properties of the Number 3407

Three Thousand Four Hundred Seven

Basics

Value: 3406 → 3407 → 3408

Parity: odd

Prime: Yes

Previous Prime: 3391

Next Prime: 3413

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 3407

Divisors: 1, 3407

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 110101001111

Octal: 6517

Duodecimal: 1B7B

Hexadecimal: d4f

Square: 11607649

Square Root: 58.36951259004995

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: Yes

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of different products of partitions of n; number of partitions of n into prime parts (1 included); number of distinct orders of Abelian subgroups of symmetric group Sn. A34891
Numbers k such that (5k - 1)/4 is prime. A4061
Goodstein sequence starting with 4: to calculate a(n+1), write a(n) in the hereditary representation in base n+2, then bump the base to n+3, then subtract 1. A56193
Members of A164368 which are not Ramanujan primes. A164288
Triangle read by rows: T(n,k) is the number of permutations of [n] having k-1 alternating descents (1<=k<=n). The index i is an alternating descent of a permutation p if either i is odd and p(i)>p(i+1), or i is even and p(i)<p(i+1). A145876
Number of integer partitions of n where the parts have the same median as the distinct parts. A360245
Primes q such that 6·q-1 and 6·q+1 are twin primes. Proper subset of A002822. A60212
Recursive sequence; one more than maximum of products of pairs of previous terms with indices summing to current index. A91980
Number of partitions p of n such that (maximal multiplicity of the parts of p) = (maximal part of p). A240312
Irregular primes with irregularity index two. A73277