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13,363

13,363 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.).

13,363 (thirteen thousand three hundred sixty-three) is an odd 5-digit number. It is a composite number with 8 divisors, and factors as 7 × 23 × 83. Written other ways, in hexadecimal, 0x3433.

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

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
16
Digit product
162
Digital root
7
Palindrome
No
Bit width
14 bits
Reversed
36,331
Recamán's sequence
a(47,549) = 13,363
Square (n²)
178,569,769
Cube (n³)
2,386,227,823,147
Divisor count
8
σ(n) — sum of divisors
16,128
φ(n) — Euler's totient
10,824
Sum of prime factors
113

Primality

Prime factorization: 7 × 23 × 83

Nearest primes: 13,339 (−24) · 13,367 (+4)

Divisors & multiples

All divisors (8)
1 · 7 · 23 · 83 · 161 · 581 · 1909 · 13363
Aliquot sum (sum of proper divisors): 2,765
Factor pairs (a × b = 13,363)
1 × 13363
7 × 1909
23 × 581
83 × 161
First multiples
13,363 · 26,726 (double) · 40,089 · 53,452 · 66,815 · 80,178 · 93,541 · 106,904 · 120,267 · 133,630

Sums & aliquot sequence

As consecutive integers: 6,681 + 6,682 1,906 + 1,907 + … + 1,912 948 + 949 + … + 961 570 + 571 + … + 592
Aliquot sequence: 13,363 2,765 1,075 289 18 21 11 1 0 — terminates at zero

Continued fraction of √n

√13,363 = [115; (1, 1, 2, 25, 3, 2, 6, 2, 1, 2, 3, 7, 1, 2, 11, 1, 4, 1, 1, 2, 2, 2, 1, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
thirteen thousand three hundred sixty-three
Ordinal
13363rd
Binary
11010000110011
Octal
32063
Hexadecimal
0x3433
Base64
NDM=
One's complement
52,172 (16-bit)
Scientific notation
1.3363 × 10⁴
As a duration
13,363 s = 3 hours, 42 minutes, 43 seconds
In other bases
ternary (3) 200022221
quaternary (4) 3100303
quinary (5) 411423
senary (6) 141511
septenary (7) 53650
nonary (9) 20287
undecimal (11) a049
duodecimal (12) 7897
tridecimal (13) 610c
tetradecimal (14) 4c27
pentadecimal (15) 3e5d

As an angle

13,363° = 37 × 360° + 43°
43° ≈ 0.75 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιγτξγʹ
Mayan (base 20)
𝋡·𝋭·𝋨·𝋣
Chinese
一萬三千三百六十三
Chinese (financial)
壹萬參仟參佰陸拾參
In other modern scripts
Eastern Arabic ١٣٣٦٣ Devanagari १३३६३ Bengali ১৩৩৬৩ Tamil ௧௩௩௬௩ Thai ๑๓๓๖๓ Tibetan ༡༣༣༦༣ Khmer ១៣៣៦៣ Lao ໑໓໓໖໓ Burmese ၁၃၃၆၃

Digit at this position in famous constants

π — Pi (π)
Digit 13,363 = 9
e — Euler's number (e)
Digit 13,363 = 9
φ — Golden ratio (φ)
Digit 13,363 = 1
√2 — Pythagoras's (√2)
Digit 13,363 = 5
ln 2 — Natural log of 2
Digit 13,363 = 4
γ — Euler-Mascheroni (γ)
Digit 13,363 = 8

Also seen as

Unicode codepoint
CJK Unified Ideograph-3433
U+3433
Other letter (Lo)

UTF-8 encoding: E3 90 B3 (3 bytes).

Hex color
#003433
RGB(0, 52, 51)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.51.

Address
0.0.52.51
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.51

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

Musical pitch

Heard as a frequency, 13,363 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +10¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +47¢ — about midway to A9)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +11¢)
Position in π

The digit sequence 13363 first appears in π at position 73,680 of the decimal expansion (the 73,680ordinal-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