Live analysis

10,014

10,014 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.).

10,014 (ten thousand fourteen) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 1,669. Its proper divisors sum to 10,026, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x271E.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Moran Number Recamán's Sequence Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

10,002 10,003 10,004 10,005 10,006 10,007 10,008 10,009 10,010 10,011 10,012 10,013 10,014 10,015 10,016 10,017 10,018 10,019 10,020 10,021 10,022 10,023 10,024 10,025 10,026

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 14 bits
Reversed: 41,001
Recamán's sequence: a(6,679) = 10,014
Square (n²): 100,280,196
Cube (n³): 1,004,205,882,744
Divisor count: 8
σ(n) — sum of divisors: 20,040
φ(n) — Euler's totient: 3,336
Sum of prime factors: 1,674

Primality

Prime factorization: 2 × 3 × 1669

Nearest primes: 10,009 (−5) · 10,037 (+23)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 1669 · 3338 · 5007 (half) · 10014

Aliquot sum (sum of proper divisors): 10,026

Factor pairs (a × b = 10,014)

1 × 10014

2 × 5007

3 × 3338

6 × 1669

First multiples

10,014 · 20,028 (double) · 30,042 · 40,056 · 50,070 · 60,084 · 70,098 · 80,112 · 90,126 · 100,140

Sums & aliquot sequence

As consecutive integers: 3,337 + 3,338 + 3,339 2,502 + 2,503 + 2,504 + 2,505 829 + 830 + … + 840

Aliquot sequence: 10,014 → 10,026 → 11,736 → 20,244 → 33,964 → 34,020 → 88,284 → 147,364 → 163,996 → 164,052 → 346,668 → 578,004 → 992,460 → 2,394,420 → 5,269,068 → 10,914,372 → 21,426,748 — unresolved within range

Continued fraction of √n

√10,014 = [100; (14, 3, 2, 3, 1, 1, 1, 8, 2, 5, 2, 2, 2, 2, 39, 1, 1, 1, 1, 2, 3, 1, 6, 1, …)]

Representations

In words: ten thousand fourteen
Ordinal: 10014th
Binary: 10011100011110
Octal: 23436
Hexadecimal: 0x271E
Base64: Jx4=
One's complement: 55,521 (16-bit)
Scientific notation: 1.0014 × 10⁴
As a duration: 10,014 s = 2 hours, 46 minutes, 54 seconds

In other bases

ternary (3) 111201220

quaternary (4) 2130132

quinary (5) 310024

senary (6) 114210

septenary (7) 41124

nonary (9) 14656

undecimal (11) 7584

duodecimal (12) 5966

tridecimal (13) 4734

tetradecimal (14) 3914

pentadecimal (15) 2e79

As an angle

10,014° = 27 × 360° + 294°

294° ≈ 5.131 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ιιδʹ
Mayan (base 20): 𝋡·𝋥·𝋠·𝋮
Chinese: 一萬零一十四
Chinese (financial): 壹萬零壹拾肆

In other modern scripts

Eastern Arabic ١٠٠١٤ Devanagari १००१४ Bengali ১০০১৪ Tamil ௧௦௦௧௪ Thai ๑๐๐๑๔ Tibetan ༡༠༠༡༤ Khmer ១០០១៤ Lao ໑໐໐໑໔ Burmese ၁၀၀၁၄

Digit at this position in famous constants

π — Pi (π): Digit 10,014 = 8
e — Euler's number (e): Digit 10,014 = 6
φ — Golden ratio (φ): Digit 10,014 = 0
√2 — Pythagoras's (√2): Digit 10,014 = 8
ln 2 — Natural log of 2: Digit 10,014 = 8
γ — Euler-Mascheroni (γ): Digit 10,014 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10014, here are decompositions:

5 + 10009 = 10014
7 + 10007 = 10014
41 + 9973 = 10014
47 + 9967 = 10014
73 + 9941 = 10014
83 + 9931 = 10014
107 + 9907 = 10014
113 + 9901 = 10014

Showing the first eight; more decompositions exist.

Unicode codepoint

✞

Shadowed White Latin Cross

U+271E

Other symbol (So)

UTF-8 encoding: E2 9C 9E (3 bytes).

Lookup U+271E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00271E

RGB(0, 39, 30)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.30.

Address: 0.0.39.30
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.39.30

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

Musical pitch

Heard as a frequency, 10,014 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +10¢)
Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, +48¢ — about midway to E9)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +11¢)

Position in π

The digit sequence 10014 first appears in π at position 133,868 of the decimal expansion (the 133,868ordinal-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 10014 on Pi Search ↗