number.wiki
Live analysis

3,013

3,013 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.).

3,013 (three thousand thirteen) is an odd 4-digit number. It is a composite number with 4 divisors, and factors as 23 × 131. Written other ways, in Roman numerals it is MMMXIII and in binary, 101111000101.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
12 bits
Reversed
3,103
Recamán's sequence
a(1,465) = 3,013
Square (n²)
9,078,169
Cube (n³)
27,352,523,197
Divisor count
4
σ(n) — sum of divisors
3,168
φ(n) — Euler's totient
2,860
Sum of prime factors
154

Primality

Prime factorization: 23 × 131

Nearest primes: 3,011 (−2) · 3,019 (+6)

Divisors & multiples

All divisors (4)
1 · 23 · 131 · 3013
Aliquot sum (sum of proper divisors): 155
Factor pairs (a × b = 3,013)
1 × 3013
23 × 131
First multiples
3,013 · 6,026 (double) · 9,039 · 12,052 · 15,065 · 18,078 · 21,091 · 24,104 · 27,117 · 30,130

Sums & aliquot sequence

As consecutive integers: 1,506 + 1,507 120 + 121 + … + 142 43 + 44 + … + 88
Aliquot sequence: 3,013 155 37 1 0 — terminates at zero

Continued fraction of √n

√3,013 = [54; (1, 8, 6, 2, 1, 7, 1, 3, 5, 1, 1, 11, 1, 1, 1, 8, 2, 26, 1, 35, 1, 1, 1, 2, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
three thousand thirteen
Ordinal
3013th
Roman numeral
MMMXIII
Binary
101111000101
Octal
5705
Hexadecimal
0xBC5
Base64
C8U=
One's complement
62,522 (16-bit)
Scientific notation
3.013 × 10³
As a duration
3,013 s = 50 minutes, 13 seconds
In other bases
ternary (3) 11010121
quaternary (4) 233011
quinary (5) 44023
senary (6) 21541
septenary (7) 11533
nonary (9) 4117
undecimal (11) 229a
duodecimal (12) 18b1
tridecimal (13) 14aa
tetradecimal (14) 1153
pentadecimal (15) d5d
Palindromic in base 15

As an angle

3,013° = 8 × 360° + 133°
133° ≈ 2.321 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒌋 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵γιγʹ
Mayan (base 20)
𝋧·𝋪·𝋭
Chinese
三千零一十三
Chinese (financial)
參仟零壹拾參
In other modern scripts
Eastern Arabic ٣٠١٣ Devanagari ३०१३ Bengali ৩০১৩ Tamil ௩௦௧௩ Thai ๓๐๑๓ Tibetan ༣༠༡༣ Khmer ៣០១៣ Lao ໓໐໑໓ Burmese ၃၀၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 3,013 = 5
e — Euler's number (e)
Digit 3,013 = 4
φ — Golden ratio (φ)
Digit 3,013 = 7
√2 — Pythagoras's (√2)
Digit 3,013 = 9
ln 2 — Natural log of 2
Digit 3,013 = 1
γ — Euler-Mascheroni (γ)
Digit 3,013 = 4

Also seen as

Hex color
#000BC5
RGB(0, 11, 197)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.11.197.

Address
0.0.11.197
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.11.197

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

Musical pitch

Heard as a frequency, 3,013 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): F♯7 (2960 Hz, +31¢)
  • Scientific pitch (C4 = 256 Hz): G7 (3068.5 Hz, -32¢)
  • Baroque pitch (A4 = 415 Hz): G7 (2957.8 Hz, +32¢)
Position in π

The digit sequence 3013 first appears in π at position 9,711 of the decimal expansion (the 9,711ordinal-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