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Number

3,413

3,413 is a prime, odd.

Arithmetic Number Chen Prime Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Sophie Germain Prime Squarefree

Properties

Parity
Odd
Digit count
4
Digit sum
11
Digit product
36
Digital root
2
Palindrome
No
Bit width
12 bits
Reversed
3,143
Recamán's sequence
a(15,065) = 3,413
Square (n²)
11,648,569
Cube (n³)
39,756,565,997
Divisor count
2
σ(n) — sum of divisors
3,414
φ(n) — Euler's totient
3,412

Primality

3,413 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 3413
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 3,413)
1 × 3413
First multiples
3,413 · 6,826 (double) · 10,239 · 13,652 · 17,065 · 20,478 · 23,891 · 27,304 · 30,717 · 34,130

Sums & aliquot sequence

As a sum of two squares: 7² + 58²
As consecutive integers: 1,706 + 1,707

Representations

In words
three thousand four hundred thirteen
Ordinal
3413th
Roman numeral
MMMCDXIII
Binary
110101010101
Octal
6525
Hexadecimal
0xD55
Base64
DVU=
One's complement
62,122 (16-bit)
In other bases
ternary (3) 11200102
quaternary (4) 311111
quinary (5) 102123
senary (6) 23445
septenary (7) 12644
nonary (9) 4612
undecimal (11) 2623
duodecimal (12) 1b85
tridecimal (13) 1727
tetradecimal (14) 135b
pentadecimal (15) 1028

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵γυιγʹ
Mayan (base 20)
𝋨·𝋪·𝋭
Chinese
三千四百一十三
Chinese (financial)
參仟肆佰壹拾參
In other modern scripts
Eastern Arabic ٣٤١٣ Devanagari ३४१३ Bengali ৩৪১৩ Tamil ௩௪௧௩ Thai ๓๔๑๓ Tibetan ༣༤༡༣ Khmer ៣៤១៣ Lao ໓໔໑໓ Burmese ၃၄၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 3,413 = 0
e — Euler's number (e)
Digit 3,413 = 6
φ — Golden ratio (φ)
Digit 3,413 = 7
√2 — Pythagoras's (√2)
Digit 3,413 = 9
ln 2 — Natural log of 2
Digit 3,413 = 1
γ — Euler-Mascheroni (γ)
Digit 3,413 = 4

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 3,407 (gap of 6)
  • Next prime: 3,433 (gap of 20)

Pair status: sexy with 3407.

Unicode codepoint
Malayalam Letter Chillu Y
U+0D55
Other letter (Lo)

UTF-8 encoding: E0 B5 95 (3 bytes).

Hex color
#000D55
RGB(0, 13, 85)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.13.85.

Address
0.0.13.85
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.13.85

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 3413 first appears in π at position 15,822 of the decimal expansion (the 15,822ordinal-suffix:nd digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.