Live analysis

14,004

14,004 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.).

14,004 (fourteen thousand four) is an even 5-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 389. Its proper divisors sum to 21,486, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x36B4.

Abundant Number Cube-Free Evil Number Harshad / Niven Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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 14,013 14,014 14,015 14,016

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 14 bits
Reversed: 40,041
Recamán's sequence: a(20,708) = 14,004
Square (n²): 196,112,016
Cube (n³): 2,746,352,672,064
Divisor count: 18
σ(n) — sum of divisors: 35,490
φ(n) — Euler's totient: 4,656
Sum of prime factors: 399

Primality

Prime factorization: 2 ² × 3 ² × 389

Nearest primes: 13,999 (−5) · 14,009 (+5)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 389 · 778 · 1167 · 1556 · 2334 · 3501 · 4668 · 7002 (half) · 14004

Aliquot sum (sum of proper divisors): 21,486

Factor pairs (a × b = 14,004)

1 × 14004

2 × 7002

3 × 4668

4 × 3501

6 × 2334

9 × 1556

12 × 1167

18 × 778

36 × 389

First multiples

14,004 · 28,008 (double) · 42,012 · 56,016 · 70,020 · 84,024 · 98,028 · 112,032 · 126,036 · 140,040

Sums & aliquot sequence

As a sum of two squares: 60² + 102²

As consecutive integers: 4,667 + 4,668 + 4,669 1,747 + 1,748 + … + 1,754 1,552 + 1,553 + … + 1,560 572 + 573 + … + 595

Aliquot sequence: 14,004 → 21,486 → 21,498 → 21,510 → 34,650 → 81,414 → 95,022 → 110,898 → 135,738 → 158,400 → 455,772 → 664,228 → 505,164 → 825,396 → 1,511,148 → 2,014,892 → 2,051,716 — unresolved within range

Continued fraction of √n

√14,004 = [118; (2, 1, 20, 1, 5, 1, 1, 1, 1, 1, 2, 1, 6, 26, 6, 1, 2, 1, 1, 1, 1, 1, 5, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: fourteen thousand four
Ordinal: 14004th
Binary: 11011010110100
Octal: 33264
Hexadecimal: 0x36B4
Base64: NrQ=
One's complement: 51,531 (16-bit)
Scientific notation: 1.4004 × 10⁴
As a duration: 14,004 s = 3 hours, 53 minutes, 24 seconds

In other bases

ternary (3) 201012200

quaternary (4) 3122310

quinary (5) 422004

senary (6) 144500

septenary (7) 55554

nonary (9) 21180

undecimal (11) a581

duodecimal (12) 8130

tridecimal (13) 64b3

tetradecimal (14) 5164

pentadecimal (15) 4239

As an angle

14,004° = 38 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιδδʹ
Mayan (base 20): 𝋡·𝋯·𝋠·𝋤
Chinese: 一萬四千零四
Chinese (financial): 壹萬肆仟零肆

In other modern scripts

Eastern Arabic ١٤٠٠٤ Devanagari १४००४ Bengali ১৪০০৪ Tamil ௧௪௦௦௪ Thai ๑๔๐๐๔ Tibetan ༡༤༠༠༤ Khmer ១៤០០៤ Lao ໑໔໐໐໔ Burmese ၁၄၀၀၄

Digit at this position in famous constants

π — Pi (π): Digit 14,004 = 5
e — Euler's number (e): Digit 14,004 = 3
φ — Golden ratio (φ): Digit 14,004 = 3
√2 — Pythagoras's (√2): Digit 14,004 = 5
ln 2 — Natural log of 2: Digit 14,004 = 9
γ — Euler-Mascheroni (γ): Digit 14,004 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 14004, here are decompositions:

5 + 13999 = 14004
7 + 13997 = 14004
37 + 13967 = 14004
41 + 13963 = 14004
71 + 13933 = 14004
73 + 13931 = 14004
83 + 13921 = 14004
97 + 13907 = 14004

Showing the first eight; more decompositions exist.

Unicode codepoint

㚴

CJK Unified Ideograph-36B4

U+36B4

Other letter (Lo)

UTF-8 encoding: E3 9A B4 (3 bytes).

Lookup U+36B4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0036B4

RGB(0, 54, 180)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.180.

Address: 0.0.54.180
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.54.180

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

Musical pitch

Heard as a frequency, 14,004 Hz is closest to:

Concert pitch (A4 = 440 Hz): A9 (14080 Hz, -9¢)
Scientific pitch (C4 = 256 Hz): A9 (13777.2 Hz, +28¢)
Baroque pitch (A4 = 415 Hz): A♯9 (14069.7 Hz, -8¢)

Position in π

The digit sequence 14004 first appears in π at position 128,987 of the decimal expansion (the 128,987ordinal-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 14004 on Pi Search ↗