Live analysis

15,000

15,000 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.).

15,000 (fifteen thousand) is an even 5-digit number. It is a composite number with 40 divisors, and factors as 2³ × 3 × 5⁴. Its proper divisors sum to 31,860, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3A98.

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

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

14,988 14,989 14,990 14,991 14,992 14,993 14,994 14,995 14,996 14,997 14,998 14,999 15,000 15,001 15,002 15,003 15,004 15,005 15,006 15,007 15,008 15,009 15,010 15,011 15,012

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 14 bits
Reversed: 51
Recamán's sequence: a(90,300) = 15,000
Square (n²): 225,000,000
Cube (n³): 3,375,000,000,000
Divisor count: 40
σ(n) — sum of divisors: 46,860
φ(n) — Euler's totient: 4,000
Sum of prime factors: 29

Primality

Prime factorization: 2 ³ × 3 × 5 ⁴

Nearest primes: 14,983 (−17) · 15,013 (+13)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 12 · 15 · 20 · 24 · 25 · 30 · 40 · 50 · 60 · 75 · 100 · 120 · 125 · 150 · 200 · 250 · 300 · 375 · 500 · 600 · 625 · 750 · 1000 · 1250 · 1500 · 1875 · 2500 · 3000 · 3750 · 5000 · 7500 (half) · 15000

Aliquot sum (sum of proper divisors): 31,860

Factor pairs (a × b = 15,000)

1 × 15000

2 × 7500

3 × 5000

4 × 3750

5 × 3000

6 × 2500

8 × 1875

10 × 1500

12 × 1250

15 × 1000

20 × 750

24 × 625

25 × 600

30 × 500

40 × 375

50 × 300

60 × 250

75 × 200

100 × 150

120 × 125

First multiples

15,000 · 30,000 (double) · 45,000 · 60,000 · 75,000 · 90,000 · 105,000 · 120,000 · 135,000 · 150,000

Sums & aliquot sequence

As consecutive integers: 4,999 + 5,000 + 5,001 2,998 + 2,999 + 3,000 + 3,001 + 3,002 993 + 994 + … + 1,007 930 + 931 + … + 945

Aliquot sequence: 15,000 → 31,860 → 68,940 → 140,724 → 224,396 → 168,304 → 164,760 → 329,880 → 660,120 → 1,320,600 → 2,964,840 → 6,228,120 → 14,300,520 → 32,873,880 → 73,983,480 → 147,967,320 → 322,053,000 — unresolved within range

Continued fraction of √n

√15,000 = [122; (2, 9, 3, 2, 1, 9, 10, 9, 1, 2, 3, 9, 2, 244)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: fifteen thousand
Ordinal: 15000th
Binary: 11101010011000
Octal: 35230
Hexadecimal: 0x3A98
Base64: Opg=
One's complement: 50,535 (16-bit)
Scientific notation: 1.5 × 10⁴
As a duration: 15,000 s = 4 hours, 10 minutes

In other bases

ternary (3) 202120120

quaternary (4) 3222120

quinary (5) 440000

senary (6) 153240

septenary (7) 61506

nonary (9) 22516

undecimal (11) 102a7

duodecimal (12) 8820

tridecimal (13) 6a9b

tetradecimal (14) 5676

pentadecimal (15) 46a0

As an angle

15,000° = 41 × 360° + 240°

240° ≈ 4.189 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋 ·
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓆼𓆼
Greek (Milesian): ͵ιε
Mayan (base 20): 𝋡·𝋱·𝋪·𝋠
Chinese: 一萬五千
Chinese (financial): 壹萬伍仟

In other modern scripts

Eastern Arabic ١٥٠٠٠ Devanagari १५००० Bengali ১৫০০০ Tamil ௧௫௦௦௦ Thai ๑๕๐๐๐ Tibetan ༡༥༠༠༠ Khmer ១៥០០០ Lao ໑໕໐໐໐ Burmese ၁၅၀၀၀

Digit at this position in famous constants

π — Pi (π): Digit 15,000 = 7
e — Euler's number (e): Digit 15,000 = 9
φ — Golden ratio (φ): Digit 15,000 = 8
√2 — Pythagoras's (√2): Digit 15,000 = 8
ln 2 — Natural log of 2: Digit 15,000 = 8
γ — Euler-Mascheroni (γ): Digit 15,000 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 15000, here are decompositions:

17 + 14983 = 15000
31 + 14969 = 15000
43 + 14957 = 15000
53 + 14947 = 15000
61 + 14939 = 15000
71 + 14929 = 15000
103 + 14897 = 15000
109 + 14891 = 15000

Showing the first eight; more decompositions exist.

Unicode codepoint

㪘

CJK Unified Ideograph-3A98

U+3A98

Other letter (Lo)

UTF-8 encoding: E3 AA 98 (3 bytes).

Lookup U+3A98 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003A98

RGB(0, 58, 152)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.58.152.

Address: 0.0.58.152
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.58.152

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

Musical pitch

Heard as a frequency, 15,000 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯9 (14917.2 Hz, +10¢)
Scientific pitch (C4 = 256 Hz): A♯9 (14596.5 Hz, +47¢ — about midway to B9)
Baroque pitch (A4 = 415 Hz): B9 (14906.3 Hz, +11¢)

Position in π

The digit sequence 15000 first appears in π at position 295,742 of the decimal expansion (the 295,742ordinal-suffix:nd 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 15000 on Pi Search ↗