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3,113

3,113 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.).

3,113 (three thousand one hundred thirteen) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 11 × 283. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in Roman numerals it is MMMCXIII and in binary, 110000101001.

Arithmetic Number Cube-Free Deficient Number Odious Number Palindrome Pernicious Number Recamán's Sequence Self Number Semiprime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
8
Digit product
9
Digital root
8
Palindrome
Yes
Bit width
12 bits
Recamán's sequence
a(1,665) = 3,113
Square (n²)
9,690,769
Cube (n³)
30,167,363,897
Divisor count
4
σ(n) — sum of divisors
3,408
φ(n) — Euler's totient
2,820
Sum of prime factors
294

Primality

Prime factorization: 11 × 283

Nearest primes: 3,109 (−4) · 3,119 (+6)

Divisors & multiples

All divisors (4)
1 · 11 · 283 · 3113
Aliquot sum (sum of proper divisors): 295
Factor pairs (a × b = 3,113)
1 × 3113
11 × 283
First multiples
3,113 · 6,226 (double) · 9,339 · 12,452 · 15,565 · 18,678 · 21,791 · 24,904 · 28,017 · 31,130

Sums & aliquot sequence

As consecutive integers: 1,556 + 1,557 278 + 279 + … + 288 131 + 132 + … + 152
Aliquot sequence: 3,113 295 65 19 1 0 — terminates at zero

Continued fraction of √n

√3,113 = [55; (1, 3, 1, 6, 5, 1, 2, 1, 1, 1, 5, 1, 13, 10, 13, 1, 5, 1, 1, 1, 2, 1, 5, 6, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
three thousand one hundred thirteen
Ordinal
3113th
Roman numeral
MMMCXIII
Binary
110000101001
Octal
6051
Hexadecimal
0xC29
Base64
DCk=
One's complement
62,422 (16-bit)
Scientific notation
3.113 × 10³
As a duration
3,113 s = 51 minutes, 53 seconds
In other bases
ternary (3) 11021022
quaternary (4) 300221
quinary (5) 44423
senary (6) 22225
septenary (7) 12035
nonary (9) 4238
undecimal (11) 2380
duodecimal (12) 1975
tridecimal (13) 1556
tetradecimal (14) 11c5
pentadecimal (15) dc8

As an angle

3,113° = 8 × 360° + 233°
233° ≈ 4.067 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵γριγʹ
Mayan (base 20)
𝋧·𝋯·𝋭
Chinese
三千一百一十三
Chinese (financial)
參仟壹佰壹拾參
In other modern scripts
Eastern Arabic ٣١١٣ Devanagari ३११३ Bengali ৩১১৩ Tamil ௩௧௧௩ Thai ๓๑๑๓ Tibetan ༣༡༡༣ Khmer ៣១១៣ Lao ໓໑໑໓ Burmese ၃၁၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 3,113 = 7
e — Euler's number (e)
Digit 3,113 = 4
φ — Golden ratio (φ)
Digit 3,113 = 9
√2 — Pythagoras's (√2)
Digit 3,113 = 1
ln 2 — Natural log of 2
Digit 3,113 = 0
γ — Euler-Mascheroni (γ)
Digit 3,113 = 2

Also seen as

Hex color
#000C29
RGB(0, 12, 41)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.41.

Address
0.0.12.41
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.12.41

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

Musical pitch

Heard as a frequency, 3,113 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G7 (3136 Hz, -13¢)
  • Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, +25¢)
  • Baroque pitch (A4 = 415 Hz): G♯7 (3133.7 Hz, -11¢)
Position in π

The digit sequence 3113 first appears in π at position 2,739 of the decimal expansion (the 2,739ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.