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13,353

13,353 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.).

13,353 (thirteen thousand three hundred fifty-three) is an odd 5-digit number. It is a composite number with 4 divisors, and factors as 3 × 4,451. Written other ways, in hexadecimal, 0x3429.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
5
Digit sum
15
Digit product
135
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
35,331
Recamán's sequence
a(47,569) = 13,353
Square (n²)
178,302,609
Cube (n³)
2,380,874,737,977
Divisor count
4
σ(n) — sum of divisors
17,808
φ(n) — Euler's totient
8,900
Sum of prime factors
4,454

Primality

Prime factorization: 3 × 4451

Nearest primes: 13,339 (−14) · 13,367 (+14)

Divisors & multiples

All divisors (4)
1 · 3 · 4451 · 13353
Aliquot sum (sum of proper divisors): 4,455
Factor pairs (a × b = 13,353)
1 × 13353
3 × 4451
First multiples
13,353 · 26,706 (double) · 40,059 · 53,412 · 66,765 · 80,118 · 93,471 · 106,824 · 120,177 · 133,530

Sums & aliquot sequence

As consecutive integers: 6,676 + 6,677 4,450 + 4,451 + 4,452 2,223 + 2,224 + 2,225 + 2,226 + 2,227 + 2,228
Aliquot sequence: 13,353 4,455 4,257 2,607 1,233 561 303 105 87 33 15 9 4 3 1 0 — terminates at zero

Continued fraction of √n

√13,353 = [115; (1, 1, 4, 32, 1, 3, 1, 5, 2, 4, 3, 1, 9, 3, 1, 1, 28, 3, 7, 1, 1, 1, 3, 2, …)]

Representations

In words
thirteen thousand three hundred fifty-three
Ordinal
13353rd
Binary
11010000101001
Octal
32051
Hexadecimal
0x3429
Base64
NCk=
One's complement
52,182 (16-bit)
Scientific notation
1.3353 × 10⁴
As a duration
13,353 s = 3 hours, 42 minutes, 33 seconds
In other bases
ternary (3) 200022120
quaternary (4) 3100221
quinary (5) 411403
senary (6) 141453
septenary (7) 53634
nonary (9) 20276
undecimal (11) a03a
duodecimal (12) 7889
tridecimal (13) 6102
tetradecimal (14) 4c1b
pentadecimal (15) 3e53

As an angle

13,353° = 37 × 360° + 33°
33° ≈ 0.576 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ιγτνγʹ
Mayan (base 20)
𝋡·𝋭·𝋧·𝋭
Chinese
一萬三千三百五十三
Chinese (financial)
壹萬參仟參佰伍拾參
In other modern scripts
Eastern Arabic ١٣٣٥٣ Devanagari १३३५३ Bengali ১৩৩৫৩ Tamil ௧௩௩௫௩ Thai ๑๓๓๕๓ Tibetan ༡༣༣༥༣ Khmer ១៣៣៥៣ Lao ໑໓໓໕໓ Burmese ၁၃၃၅၃

Digit at this position in famous constants

π — Pi (π)
Digit 13,353 = 6
e — Euler's number (e)
Digit 13,353 = 0
φ — Golden ratio (φ)
Digit 13,353 = 8
√2 — Pythagoras's (√2)
Digit 13,353 = 7
ln 2 — Natural log of 2
Digit 13,353 = 1
γ — Euler-Mascheroni (γ)
Digit 13,353 = 9

Also seen as

Unicode codepoint
CJK Unified Ideograph-3429
U+3429
Other letter (Lo)

UTF-8 encoding: E3 90 A9 (3 bytes).

Hex color
#003429
RGB(0, 52, 41)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.52.41.

Address
0.0.52.41
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.52.41

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

Musical pitch

Heard as a frequency, 13,353 Hz is closest to:

  • Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, +8¢)
  • Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +46¢ — about midway to A9)
  • Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, +9¢)
Position in π

The digit sequence 13353 first appears in π at position 63,951 of the decimal expansion (the 63,951ordinal-suffix:st 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°.