Live analysis

14,000

14,000 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.).

14,000 (fourteen thousand) is an even 5-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5³ × 7. Its proper divisors sum to 24,688, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x36B0.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

13,988 13,989 13,990 13,991 13,992 13,993 13,994 13,995 13,996 13,997 13,998 13,999 14,000 14,001 14,002 14,003 14,004 14,005 14,006 14,007 14,008 14,009 14,010 14,011 14,012

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 14 bits
Reversed: 41
Recamán's sequence: a(20,716) = 14,000
Square (n²): 196,000,000
Cube (n³): 2,744,000,000,000
Divisor count: 40
σ(n) — sum of divisors: 38,688
φ(n) — Euler's totient: 4,800
Sum of prime factors: 30

Primality

Prime factorization: 2 ⁴ × 5 ³ × 7

Nearest primes: 13,999 (−1) · 14,009 (+9)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 25 · 28 · 35 · 40 · 50 · 56 · 70 · 80 · 100 · 112 · 125 · 140 · 175 · 200 · 250 · 280 · 350 · 400 · 500 · 560 · 700 · 875 · 1000 · 1400 · 1750 · 2000 · 2800 · 3500 · 7000 (half) · 14000

Aliquot sum (sum of proper divisors): 24,688

Factor pairs (a × b = 14,000)

1 × 14000

2 × 7000

4 × 3500

5 × 2800

7 × 2000

8 × 1750

10 × 1400

14 × 1000

16 × 875

20 × 700

25 × 560

28 × 500

35 × 400

40 × 350

50 × 280

56 × 250

70 × 200

80 × 175

100 × 140

112 × 125

First multiples

14,000 · 28,000 (double) · 42,000 · 56,000 · 70,000 · 84,000 · 98,000 · 112,000 · 126,000 · 140,000

Sums & aliquot sequence

As consecutive integers: 2,798 + 2,799 + 2,800 + 2,801 + 2,802 1,997 + 1,998 + … + 2,003 548 + 549 + … + 572 422 + 423 + … + 453

Aliquot sequence: 14,000 → 24,688 → 23,176 → 20,294 → 10,786 → 5,396 → 4,684 → 3,520 → 5,624 → 5,776 → 6,035 → 1,741 → 1 → 0 — terminates at zero

Continued fraction of √n

√14,000 = [118; (3, 9, 7, 1, 1, 8, 1, 13, 1, 8, 1, 1, 7, 9, 3, 236)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: fourteen thousand
Ordinal: 14000th
Binary: 11011010110000
Octal: 33260
Hexadecimal: 0x36B0
Base64: NrA=
One's complement: 51,535 (16-bit)
Scientific notation: 1.4 × 10⁴
As a duration: 14,000 s = 3 hours, 53 minutes, 20 seconds

In other bases

ternary (3) 201012112

quaternary (4) 3122300

quinary (5) 422000

senary (6) 144452

septenary (7) 55550

nonary (9) 21175

undecimal (11) a578

duodecimal (12) 8128

tridecimal (13) 64ac

tetradecimal (14) 5160

pentadecimal (15) 4235

As an angle

14,000° = 38 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓆼
Greek (Milesian): ͵ιδ
Mayan (base 20): 𝋡·𝋯·𝋠·𝋠
Chinese: 一萬四千
Chinese (financial): 壹萬肆仟

In other modern scripts

Eastern Arabic ١٤٠٠٠ Devanagari १४००० Bengali ১৪০০০ Tamil ௧௪௦௦௦ Thai ๑๔๐๐๐ Tibetan ༡༤༠༠༠ Khmer ១៤០០០ Lao ໑໔໐໐໐ Burmese ၁၄၀၀၀

Digit at this position in famous constants

π — Pi (π): Digit 14,000 = 2
e — Euler's number (e): Digit 14,000 = 5
φ — Golden ratio (φ): Digit 14,000 = 5
√2 — Pythagoras's (√2): Digit 14,000 = 3
ln 2 — Natural log of 2: Digit 14,000 = 4
γ — Euler-Mascheroni (γ): Digit 14,000 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 14000, here are decompositions:

3 + 13997 = 14000
37 + 13963 = 14000
67 + 13933 = 14000
79 + 13921 = 14000
97 + 13903 = 14000
127 + 13873 = 14000
193 + 13807 = 14000
211 + 13789 = 14000

Showing the first eight; more decompositions exist.

Unicode codepoint

㚰

CJK Unified Ideograph-36B0

U+36B0

Other letter (Lo)

UTF-8 encoding: E3 9A B0 (3 bytes).

Lookup U+36B0 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0036B0

RGB(0, 54, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.176.

Address: 0.0.54.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.54.176

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

Musical pitch

Heard as a frequency, 14,000 Hz is closest to:

Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -10¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +28¢)
Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -9¢)

Position in π

The digit sequence 14000 first appears in π at position 57,260 of the decimal expansion (the 57,260ordinal-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 14000 on Pi Search ↗