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5,313

5,313 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.).

5,313 (five thousand three hundred thirteen) is an odd 4-digit number. It is a composite number with 16 divisors, and factors as 3 × 7 × 11 × 23. Written other ways, in hexadecimal, 0x14C1.

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

Interestingness

Properties

Parity
Odd
Digit count
4
Digit sum
12
Digit product
45
Digital root
3
Palindrome
No
Bit width
13 bits
Reversed
3,135
Recamán's sequence
a(2,350) = 5,313
Square (n²)
28,227,969
Cube (n³)
149,975,199,297
Divisor count
16
σ(n) — sum of divisors
9,216
φ(n) — Euler's totient
2,640
Sum of prime factors
44

Primality

Prime factorization: 3 × 7 × 11 × 23

Nearest primes: 5,309 (−4) · 5,323 (+10)

Divisors & multiples

All divisors (16)
1 · 3 · 7 · 11 · 21 · 23 · 33 · 69 · 77 · 161 · 231 · 253 · 483 · 759 · 1771 · 5313
Aliquot sum (sum of proper divisors): 3,903
Factor pairs (a × b = 5,313)
1 × 5313
3 × 1771
7 × 759
11 × 483
21 × 253
23 × 231
33 × 161
69 × 77
First multiples
5,313 · 10,626 (double) · 15,939 · 21,252 · 26,565 · 31,878 · 37,191 · 42,504 · 47,817 · 53,130

Sums & aliquot sequence

As consecutive integers: 2,656 + 2,657 1,770 + 1,771 + 1,772 883 + 884 + 885 + 886 + 887 + 888 756 + 757 + … + 762
Aliquot sequence: 5,313 3,903 1,305 1,035 837 443 1 0 — terminates at zero

Continued fraction of √n

√5,313 = [72; (1, 8, 8, 2, 6, 2, 8, 8, 1, 144)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
five thousand three hundred thirteen
Ordinal
5313th
Binary
1010011000001
Octal
12301
Hexadecimal
0x14C1
Base64
FME=
One's complement
60,222 (16-bit)
Scientific notation
5.313 × 10³
As a duration
5,313 s = 1 hour, 28 minutes, 33 seconds
In other bases
ternary (3) 21021210
quaternary (4) 1103001
quinary (5) 132223
senary (6) 40333
septenary (7) 21330
nonary (9) 7253
undecimal (11) 3aa0
duodecimal (12) 30a9
tridecimal (13) 2559
tetradecimal (14) 1d17
pentadecimal (15) 1893

As an angle

5,313° = 14 × 360° + 273°
273° ≈ 4.765 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ετιγʹ
Mayan (base 20)
𝋭·𝋥·𝋭
Chinese
五千三百一十三
Chinese (financial)
伍仟參佰壹拾參
In other modern scripts
Eastern Arabic ٥٣١٣ Devanagari ५३१३ Bengali ৫৩১৩ Tamil ௫௩௧௩ Thai ๕๓๑๓ Tibetan ༥༣༡༣ Khmer ៥៣១៣ Lao ໕໓໑໓ Burmese ၅၃၁၃

Digit at this position in famous constants

π — Pi (π)
Digit 5,313 = 1
e — Euler's number (e)
Digit 5,313 = 9
φ — Golden ratio (φ)
Digit 5,313 = 4
√2 — Pythagoras's (√2)
Digit 5,313 = 8
ln 2 — Natural log of 2
Digit 5,313 = 6
γ — Euler-Mascheroni (γ)
Digit 5,313 = 3

Also seen as

Unicode codepoint
Canadian Syllabics Naai
U+14C1
Other letter (Lo)

UTF-8 encoding: E1 93 81 (3 bytes).

Hex color
#0014C1
RGB(0, 20, 193)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.20.193.

Address
0.0.20.193
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.20.193

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

Musical pitch

Heard as a frequency, 5,313 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): E8 (5274 Hz, +13¢)
  • Scientific pitch (C4 = 256 Hz): F8 (5467.5 Hz, -50¢ — about midway to E8)
  • Baroque pitch (A4 = 415 Hz): F8 (5270.2 Hz, +14¢)
Position in π

The digit sequence 5313 first appears in π at position 13,845 of the decimal expansion (the 13,845ordinal-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°.