Live analysis

13,164

13,164 is a composite number, even.

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.).

13,164 (thirteen thousand one hundred sixty-four) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 1,097. Its proper divisors sum to 17,580, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x336C.

Abundant Number Arithmetic Number Cube-Free Evil Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

13,152 13,153 13,154 13,155 13,156 13,157 13,158 13,159 13,160 13,161 13,162 13,163 13,164 13,165 13,166 13,167 13,168 13,169 13,170 13,171 13,172 13,173 13,174 13,175 13,176

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Properties

Parity: Even
Digit count: 5
Digit sum: 15
Digit product: 72
Digital root: 6
Palindrome: No
Bit width: 14 bits
Reversed: 46,131
Recamán's sequence: a(47,947) = 13,164
Square (n²): 173,290,896
Cube (n³): 2,281,201,354,944
Divisor count: 12
σ(n) — sum of divisors: 30,744
φ(n) — Euler's totient: 4,384
Sum of prime factors: 1,104

Primality

Prime factorization: 2 ² × 3 × 1097

Nearest primes: 13,163 (−1) · 13,171 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 1097 · 2194 · 3291 · 4388 · 6582 (half) · 13164

Aliquot sum (sum of proper divisors): 17,580

Factor pairs (a × b = 13,164)

1 × 13164

2 × 6582

3 × 4388

4 × 3291

6 × 2194

12 × 1097

First multiples

13,164 · 26,328 (double) · 39,492 · 52,656 · 65,820 · 78,984 · 92,148 · 105,312 · 118,476 · 131,640

Sums & aliquot sequence

As consecutive integers: 4,387 + 4,388 + 4,389 1,642 + 1,643 + … + 1,649 537 + 538 + … + 560

Aliquot sequence: 13,164 → 17,580 → 31,812 → 49,500 → 120,852 → 195,926 → 100,258 → 50,132 → 39,244 → 29,440 → 44,144 → 45,136 → 65,968 → 92,752 → 121,520 → 217,744 → 218,736 — unresolved within range

Continued fraction of √n

√13,164 = [114; (1, 2, 1, 3, 3, 1, 1, 1, 1, 1, 5, 1, 14, 2, 4, 2, 1, 1, 28, 10, 1, 8, 3, 1, …)]

Representations

In words: thirteen thousand one hundred sixty-four
Ordinal: 13164th
Binary: 11001101101100
Octal: 31554
Hexadecimal: 0x336C
Base64: M2w=
One's complement: 52,371 (16-bit)
Scientific notation: 1.3164 × 10⁴
As a duration: 13,164 s = 3 hours, 39 minutes, 24 seconds

In other bases

ternary (3) 200001120

quaternary (4) 3031230

quinary (5) 410124

senary (6) 140540

septenary (7) 53244

nonary (9) 20046

undecimal (11) 9988

duodecimal (12) 7750

tridecimal (13) 5cb8

tetradecimal (14) 4b24

pentadecimal (15) 3d79

As an angle

13,164° = 36 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγρξδʹ
Mayan (base 20): 𝋡·𝋬·𝋲·𝋤
Chinese: 一萬三千一百六十四
Chinese (financial): 壹萬參仟壹佰陸拾肆

In other modern scripts

Eastern Arabic ١٣١٦٤ Devanagari १३१६४ Bengali ১৩১৬৪ Tamil ௧௩௧௬௪ Thai ๑๓๑๖๔ Tibetan ༡༣༡༦༤ Khmer ១៣១៦៤ Lao ໑໓໑໖໔ Burmese ၁၃၁၆၄

Digit at this position in famous constants

π — Pi (π): Digit 13,164 = 6
e — Euler's number (e): Digit 13,164 = 1
φ — Golden ratio (φ): Digit 13,164 = 1
√2 — Pythagoras's (√2): Digit 13,164 = 5
ln 2 — Natural log of 2: Digit 13,164 = 3
γ — Euler-Mascheroni (γ): Digit 13,164 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13164, here are decompositions:

5 + 13159 = 13164
13 + 13151 = 13164
17 + 13147 = 13164
37 + 13127 = 13164
43 + 13121 = 13164
61 + 13103 = 13164
71 + 13093 = 13164
101 + 13063 = 13164

Showing the first eight; more decompositions exist.

Unicode codepoint

㍬

Ideographic Telegraph Symbol For Hour Twenty

U+336C

Other symbol (So)

UTF-8 encoding: E3 8D AC (3 bytes).

Lookup U+336C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00336C

RGB(0, 51, 108)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.108.

Address: 0.0.51.108
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.51.108

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

Musical pitch

Heard as a frequency, 13,164 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -16¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +21¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -15¢)

Position in π

The digit sequence 13164 first appears in π at position 347,173 of the decimal expansion (the 347,173ordinal-suffix:rd 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.

Look up 13164 on Pi Search ↗