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2,313

2,313 is a composite number, odd.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

2,313 (two thousand three hundred thirteen) is an odd 4-digit number. It is a composite number with 6 divisors, and factors as 3² × 257. Written other ways, in Roman numerals it is MMCCCXIII and in binary, 100100001001.

Arithmetic Number Binary Palindrome Cube-Free Deficient Number Evil Number Happy Number Harshad / Niven Moran Number Recamán's Sequence

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
9
Digit product
18
Digital root
9
Palindrome
No
Bit width
12 bits
Reversed
3,132
Recamán's sequence
a(55,525) = 2,313
Square (n²)
5,349,969
Cube (n³)
12,374,478,297
Divisor count
6
σ(n) — sum of divisors
3,354
φ(n) — Euler's totient
1,536
Sum of prime factors
263

Primality

Prime factorization: 3 2 × 257

Nearest primes: 2,311 (−2) · 2,333 (+20)

Divisors & multiples

All divisors (6)
1 · 3 · 9 · 257 · 771 · 2313
Aliquot sum (sum of proper divisors): 1,041
Factor pairs (a × b = 2,313)
1 × 2313
3 × 771
9 × 257
First multiples
2,313 · 4,626 (double) · 6,939 · 9,252 · 11,565 · 13,878 · 16,191 · 18,504 · 20,817 · 23,130

Sums & aliquot sequence

As a sum of two squares: 3² + 48²
As consecutive integers: 1,156 + 1,157 770 + 771 + 772 383 + 384 + 385 + 386 + 387 + 388 253 + 254 + … + 261
Aliquot sequence: 2,313 1,041 351 209 31 1 0 — terminates at zero

Continued fraction of √n

√2,313 = [48; (10, 1, 2, 10, 2, 1, 10, 96)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
two thousand three hundred thirteen
Ordinal
2313th
Roman numeral
MMCCCXIII
Binary
100100001001
Octal
4411
Hexadecimal
0x909
Base64
CQk=
One's complement
63,222 (16-bit)
Scientific notation
2.313 × 10³
As a duration
2,313 s = 38 minutes, 33 seconds
In other bases
ternary (3) 10011200
quaternary (4) 210021
quinary (5) 33223
senary (6) 14413
septenary (7) 6513
nonary (9) 3150
undecimal (11) 1813
duodecimal (12) 1409
tridecimal (13) 108c
tetradecimal (14) bb3
pentadecimal (15) a43
Palindromic in base 2, base 16

As an angle

2,313° = 6 × 360° + 153°
153° ≈ 2.67 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵βτιγʹ
Mayan (base 20)
𝋥·𝋯·𝋭
Chinese
二千三百一十三
Chinese (financial)
貳仟參佰壹拾參
In other modern scripts
Eastern Arabic ٢٣١٣ Devanagari २३१३ Bengali ২৩১৩ Tamil ௨௩௧௩ Thai ๒๓๑๓ Tibetan ༢༣༡༣ Khmer ២៣១៣ Lao ໒໓໑໓ Burmese ၂၃၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 2,313 = 3
e — Euler's number (e)
Digit 2,313 = 7
φ — Golden ratio (φ)
Digit 2,313 = 0
√2 — Pythagoras's (√2)
Digit 2,313 = 8
ln 2 — Natural log of 2
Digit 2,313 = 0
γ — Euler-Mascheroni (γ)
Digit 2,313 = 6

Also seen as

Unicode codepoint
Devanagari Letter U
U+0909
Other letter (Lo)

UTF-8 encoding: E0 A4 89 (3 bytes).

Hex color
#000909
RGB(0, 9, 9)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.9.9.

Address
0.0.9.9
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.9.9

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

Musical pitch

Heard as a frequency, 2,313 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): D7 (2349.3 Hz, -27¢)
  • Scientific pitch (C4 = 256 Hz): D7 (2298.8 Hz, +11¢)
  • Baroque pitch (A4 = 415 Hz): D♯7 (2347.6 Hz, -26¢)
Position in π

The digit sequence 2313 first appears in π at position 6,318 of the decimal expansion (the 6,318ordinal-suffix:th 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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.