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Number

3,313

3,313 is a prime, odd.

Arithmetic Number Balanced Prime Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Squarefree

Properties

Parity
Odd
Digit count
4
Digit sum
10
Digit product
27
Digital root
1
Palindrome
No
Bit width
12 bits
Reversed
3,133
Recamán's sequence
a(6,722) = 3,313
Square (n²)
10,975,969
Cube (n³)
36,363,385,297
Divisor count
2
σ(n) — sum of divisors
3,314
φ(n) — Euler's totient
3,312

Primality

3,313 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 3313
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 3,313)
1 × 3313
First multiples
3,313 · 6,626 (double) · 9,939 · 13,252 · 16,565 · 19,878 · 23,191 · 26,504 · 29,817 · 33,130

Sums & aliquot sequence

As a sum of two squares: 8² + 57²
As consecutive integers: 1,656 + 1,657

Representations

In words
three thousand three hundred thirteen
Ordinal
3313th
Roman numeral
MMMCCCXIII
Binary
110011110001
Octal
6361
Hexadecimal
0xCF1
Base64
DPE=
One's complement
62,222 (16-bit)
In other bases
ternary (3) 11112201
quaternary (4) 303301
quinary (5) 101223
senary (6) 23201
septenary (7) 12442
nonary (9) 4481
undecimal (11) 2542
duodecimal (12) 1b01
tridecimal (13) 167b
tetradecimal (14) 12c9
pentadecimal (15) ead

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵γτιγʹ
Mayan (base 20)
𝋨·𝋥·𝋭
Chinese
三千三百一十三
Chinese (financial)
參仟參佰壹拾參
In other modern scripts
Eastern Arabic ٣٣١٣ Devanagari ३३१३ Bengali ৩৩১৩ Tamil ௩௩௧௩ Thai ๓๓๑๓ Tibetan ༣༣༡༣ Khmer ៣៣១៣ Lao ໓໓໑໓ Burmese ၃၃၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 3,313 = 6
e — Euler's number (e)
Digit 3,313 = 8
φ — Golden ratio (φ)
Digit 3,313 = 4
√2 — Pythagoras's (√2)
Digit 3,313 = 9
ln 2 — Natural log of 2
Digit 3,313 = 1
γ — Euler-Mascheroni (γ)
Digit 3,313 = 7

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 3,307 (gap of 6)
  • Next prime: 3,319 (gap of 6)

Pair status: sexy with 3307, sexy with 3319.

Unicode codepoint
Kannada Sign Jihvamuliya
U+0CF1
Other letter (Lo)

UTF-8 encoding: E0 B3 B1 (3 bytes).

Hex color
#000CF1
RGB(0, 12, 241)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.241.

Address
0.0.12.241
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.12.241

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

Position in π

The digit sequence 3313 first appears in π at position 1,302 of the decimal expansion (the 1,302ordinal-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.