Live analysis

15,012

15,012 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.).

15,012 (fifteen thousand twelve) is an even 5-digit number. It is a composite number with 24 divisors, and factors as 2² × 3³ × 139. Its proper divisors sum to 24,188, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x3AA4.

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

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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 15,013 15,014 15,015 15,016 15,017 15,018 15,019 15,020 15,021 15,022 15,023 15,024

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 14 bits
Reversed: 21,051
Recamán's sequence: a(90,276) = 15,012
Square (n²): 225,360,144
Cube (n³): 3,383,106,481,728
Divisor count: 24
σ(n) — sum of divisors: 39,200
φ(n) — Euler's totient: 4,968
Sum of prime factors: 152

Primality

Prime factorization: 2 ² × 3 ³ × 139

Nearest primes: 14,983 (−29) · 15,013 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 27 · 36 · 54 · 108 · 139 · 278 · 417 · 556 · 834 · 1251 · 1668 · 2502 · 3753 · 5004 · 7506 (half) · 15012

Aliquot sum (sum of proper divisors): 24,188

Factor pairs (a × b = 15,012)

1 × 15012

2 × 7506

3 × 5004

4 × 3753

6 × 2502

9 × 1668

12 × 1251

18 × 834

27 × 556

36 × 417

54 × 278

108 × 139

First multiples

15,012 · 30,024 (double) · 45,036 · 60,048 · 75,060 · 90,072 · 105,084 · 120,096 · 135,108 · 150,120

Sums & aliquot sequence

As consecutive integers: 5,003 + 5,004 + 5,005 1,873 + 1,874 + … + 1,880 1,664 + 1,665 + … + 1,672 614 + 615 + … + 637

Aliquot sequence: 15,012 → 24,188 → 18,148 → 16,152 → 24,288 → 48,288 → 78,720 → 178,320 → 375,216 → 594,216 → 1,322,424 → 2,259,336 → 3,636,024 → 7,215,816 → 11,210,424 → 16,815,696 → 27,229,104 — unresolved within range

Continued fraction of √n

√15,012 = [122; (1, 1, 10, 6, 1, 1, 8, 1, 1, 6, 10, 1, 1, 244)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: fifteen thousand twelve
Ordinal: 15012th
Binary: 11101010100100
Octal: 35244
Hexadecimal: 0x3AA4
Base64: OqQ=
One's complement: 50,523 (16-bit)
Scientific notation: 1.5012 × 10⁴
As a duration: 15,012 s = 4 hours, 10 minutes, 12 seconds

In other bases

ternary (3) 202121000

quaternary (4) 3222210

quinary (5) 440022

senary (6) 153300

septenary (7) 61524

nonary (9) 22530

undecimal (11) 10308

duodecimal (12) 8830

tridecimal (13) 6aaa

tetradecimal (14) 5684

pentadecimal (15) 46ac

As an angle

15,012° = 41 × 360° + 252°

252° ≈ 4.398 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺
Greek (Milesian): ͵ιειβʹ
Mayan (base 20): 𝋡·𝋱·𝋪·𝋬
Chinese: 一萬五千零一十二
Chinese (financial): 壹萬伍仟零壹拾貳

In other modern scripts

Eastern Arabic ١٥٠١٢ Devanagari १५०१२ Bengali ১৫০১২ Tamil ௧௫௦௧௨ Thai ๑๕๐๑๒ Tibetan ༡༥༠༡༢ Khmer ១៥០១២ Lao ໑໕໐໑໒ Burmese ၁၅၀၁၂

Digit at this position in famous constants

π — Pi (π): Digit 15,012 = 9
e — Euler's number (e): Digit 15,012 = 2
φ — Golden ratio (φ): Digit 15,012 = 5
√2 — Pythagoras's (√2): Digit 15,012 = 2
ln 2 — Natural log of 2: Digit 15,012 = 4
γ — Euler-Mascheroni (γ): Digit 15,012 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 15012, here are decompositions:

29 + 14983 = 15012
43 + 14969 = 15012
61 + 14951 = 15012
73 + 14939 = 15012
83 + 14929 = 15012
89 + 14923 = 15012
181 + 14831 = 15012
191 + 14821 = 15012

Showing the first eight; more decompositions exist.

Unicode codepoint

㪤

CJK Unified Ideograph-3Aa4

U+3AA4

Other letter (Lo)

UTF-8 encoding: E3 AA A4 (3 bytes).

Lookup U+3AA4 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003AA4

RGB(0, 58, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.58.164.

Address: 0.0.58.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.58.164

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

Musical pitch

Heard as a frequency, 15,012 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯9 (14917.2 Hz, +11¢)
Scientific pitch (C4 = 256 Hz): A♯9 (14596.5 Hz, +49¢ — about midway to B9)
Baroque pitch (A4 = 415 Hz): B9 (14906.3 Hz, +12¢)

Position in π

The digit sequence 15012 first appears in π at position 436,453 of the decimal expansion (the 436,453ordinal-suffix:rd 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 15012 on Pi Search ↗