Live analysis

13,008

13,008 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.).

13,008 (thirteen thousand eight) is an even 5-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 271. Its proper divisors sum to 20,720, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x32D0.

Abundant Number Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

12,996 12,997 12,998 12,999 13,000 13,001 13,002 13,003 13,004 13,005 13,006 13,007 13,008 13,009 13,010 13,011 13,012 13,013 13,014 13,015 13,016 13,017 13,018 13,019 13,020

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 14 bits
Reversed: 80,031
Recamán's sequence: a(48,259) = 13,008
Square (n²): 169,208,064
Cube (n³): 2,201,058,496,512
Divisor count: 20
σ(n) — sum of divisors: 33,728
φ(n) — Euler's totient: 4,320
Sum of prime factors: 282

Primality

Prime factorization: 2 ⁴ × 3 × 271

Nearest primes: 13,007 (−1) · 13,009 (+1)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 271 · 542 · 813 · 1084 · 1626 · 2168 · 3252 · 4336 · 6504 (half) · 13008

Aliquot sum (sum of proper divisors): 20,720

Factor pairs (a × b = 13,008)

1 × 13008

2 × 6504

3 × 4336

4 × 3252

6 × 2168

8 × 1626

12 × 1084

16 × 813

24 × 542

48 × 271

First multiples

13,008 · 26,016 (double) · 39,024 · 52,032 · 65,040 · 78,048 · 91,056 · 104,064 · 117,072 · 130,080

Sums & aliquot sequence

As consecutive integers: 4,335 + 4,336 + 4,337 391 + 392 + … + 422 88 + 89 + … + 183

Aliquot sequence: 13,008 → 20,720 → 35,824 → 33,616 → 37,808 → 40,312 → 35,288 → 37,072 → 45,264 → 79,728 → 146,448 → 281,166 → 281,178 → 363,942 → 424,638 → 526,338 → 722,961 — unresolved within range

Continued fraction of √n

√13,008 = [114; (19, 228)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand eight
Ordinal: 13008th
Binary: 11001011010000
Octal: 31320
Hexadecimal: 0x32D0
Base64: MtA=
One's complement: 52,527 (16-bit)
Scientific notation: 1.3008 × 10⁴
As a duration: 13,008 s = 3 hours, 36 minutes, 48 seconds

In other bases

ternary (3) 122211210

quaternary (4) 3023100

quinary (5) 404013

senary (6) 140120

septenary (7) 52632

nonary (9) 18753

undecimal (11) 9856

duodecimal (12) 7640

tridecimal (13) 5bc8

tetradecimal (14) 4a52

pentadecimal (15) 3cc3

Palindromic in base 15

As an angle

13,008° = 36 × 360° + 48°

48° ≈ 0.838 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγηʹ
Mayan (base 20): 𝋡·𝋬·𝋪·𝋨
Chinese: 一萬三千零八
Chinese (financial): 壹萬參仟零捌

In other modern scripts

Eastern Arabic ١٣٠٠٨ Devanagari १३००८ Bengali ১৩০০৮ Tamil ௧௩௦௦௮ Thai ๑๓๐๐๘ Tibetan ༡༣༠༠༨ Khmer ១៣០០៨ Lao ໑໓໐໐໘ Burmese ၁၃၀၀၈

Digit at this position in famous constants

π — Pi (π): Digit 13,008 = 0
e — Euler's number (e): Digit 13,008 = 0
φ — Golden ratio (φ): Digit 13,008 = 8
√2 — Pythagoras's (√2): Digit 13,008 = 9
ln 2 — Natural log of 2: Digit 13,008 = 4
γ — Euler-Mascheroni (γ): Digit 13,008 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13008, here are decompositions:

5 + 13003 = 13008
7 + 13001 = 13008
29 + 12979 = 13008
41 + 12967 = 13008
67 + 12941 = 13008
89 + 12919 = 13008
97 + 12911 = 13008
101 + 12907 = 13008

Showing the first eight; more decompositions exist.

Unicode codepoint

㋐

Circled Katakana A

U+32D0

Other symbol (So)

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

Lookup U+32D0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0032D0

RGB(0, 50, 208)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.208.

Address: 0.0.50.208
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.50.208

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

Musical pitch

Heard as a frequency, 13,008 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯9 (13289.8 Hz, -37¢)
Scientific pitch (C4 = 256 Hz): G♯9 (13004 Hz, +1¢)
Baroque pitch (A4 = 415 Hz): A9 (13280 Hz, -36¢)

Position in π

The digit sequence 13008 first appears in π at position 212,150 of the decimal expansion (the 212,150ordinal-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.

Look up 13008 on Pi Search ↗