Live analysis

13,005

13,005 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.).

13,005 (thirteen thousand five) is an odd 5-digit number. It is a composite number with 18 divisors, and factors as 3² × 5 × 17². Written other ways, in hexadecimal, 0x32CD.

Cube-Free Deficient Number Evil Number Gapful Number Harshad / Niven Recamán's Sequence

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

12,993 12,994 12,995 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

less more

Properties

Parity: Odd
Digit count: 5
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 14 bits
Reversed: 50,031
Recamán's sequence: a(48,265) = 13,005
Square (n²): 169,130,025
Cube (n³): 2,199,535,975,125
Divisor count: 18
σ(n) — sum of divisors: 23,946
φ(n) — Euler's totient: 6,528
Sum of prime factors: 45

Primality

Prime factorization: 3 ² × 5 × 17 ²

Nearest primes: 13,003 (−2) · 13,007 (+2)

Divisors & multiples

All divisors (18)

1 · 3 · 5 · 9 · 15 · 17 · 45 · 51 · 85 · 153 · 255 · 289 · 765 · 867 · 1445 · 2601 · 4335 · 13005

Aliquot sum (sum of proper divisors): 10,941

Factor pairs (a × b = 13,005)

1 × 13005

3 × 4335

5 × 2601

9 × 1445

15 × 867

17 × 765

45 × 289

51 × 255

85 × 153

First multiples

13,005 · 26,010 (double) · 39,015 · 52,020 · 65,025 · 78,030 · 91,035 · 104,040 · 117,045 · 130,050

Sums & aliquot sequence

As a sum of two squares: 3² + 114² = 51² + 102² = 66² + 93²

As consecutive integers: 6,502 + 6,503 4,334 + 4,335 + 4,336 2,599 + 2,600 + 2,601 + 2,602 + 2,603 2,165 + 2,166 + 2,167 + 2,168 + 2,169 + 2,170

Aliquot sequence: 13,005 → 10,941 → 5,763 → 2,445 → 1,491 → 813 → 275 → 97 → 1 → 0 — terminates at zero

Continued fraction of √n

√13,005 = [114; (25, 2, 1, 24, 1, 2, 25, 228)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: thirteen thousand five
Ordinal: 13005th
Binary: 11001011001101
Octal: 31315
Hexadecimal: 0x32CD
Base64: Ms0=
One's complement: 52,530 (16-bit)
Scientific notation: 1.3005 × 10⁴
As a duration: 13,005 s = 3 hours, 36 minutes, 45 seconds

In other bases

ternary (3) 122211200

quaternary (4) 3023031

quinary (5) 404010

senary (6) 140113

septenary (7) 52626

nonary (9) 18750

undecimal (11) 9853

duodecimal (12) 7639

tridecimal (13) 5bc5

tetradecimal (14) 4a4d

pentadecimal (15) 3cc0

As an angle

13,005° = 36 × 360° + 45°

45° ≈ 0.785 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιγεʹ
Mayan (base 20): 𝋡·𝋬·𝋪·𝋥
Chinese: 一萬三千零五
Chinese (financial): 壹萬參仟零伍

In other modern scripts

Eastern Arabic ١٣٠٠٥ Devanagari १३००५ Bengali ১৩০০৫ Tamil ௧௩௦௦௫ Thai ๑๓๐๐๕ Tibetan ༡༣༠༠༥ Khmer ១៣០០៥ Lao ໑໓໐໐໕ Burmese ၁၃၀၀၅

Digit at this position in famous constants

π — Pi (π): Digit 13,005 = 5
e — Euler's number (e): Digit 13,005 = 1
φ — Golden ratio (φ): Digit 13,005 = 1
√2 — Pythagoras's (√2): Digit 13,005 = 1
ln 2 — Natural log of 2: Digit 13,005 = 9
γ — Euler-Mascheroni (γ): Digit 13,005 = 7

Also seen as

Unicode codepoint

㋍

Square Erg

U+32CD

Other symbol (So)

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

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

Hex color

#0032CD

RGB(0, 50, 205)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.205.

Address: 0.0.50.205
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.50.205

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

Musical pitch

Heard as a frequency, 13,005 Hz is closest to:

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

Position in π

The digit sequence 13005 first appears in π at position 6,234 of the decimal expansion (the 6,234ordinal-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 13005 on Pi Search ↗