Live analysis

10,002

10,002 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.).

10,002 (ten thousand two) is an even 5-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 1,667. Its proper divisors sum to 10,014, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2712.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

9,990 9,991 9,992 9,993 9,994 9,995 9,996 9,997 9,998 9,999 10,000 10,001 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

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 3
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 14 bits
Reversed: 20,001
Recamán's sequence: a(7,371) = 10,002
Square (n²): 100,040,004
Cube (n³): 1,000,600,120,008
Divisor count: 8
σ(n) — sum of divisors: 20,016
φ(n) — Euler's totient: 3,332
Sum of prime factors: 1,672

Primality

Prime factorization: 2 × 3 × 1667

Nearest primes: 9,973 (−29) · 10,007 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 1667 · 3334 · 5001 (half) · 10002

Aliquot sum (sum of proper divisors): 10,014

Factor pairs (a × b = 10,002)

1 × 10002

2 × 5001

3 × 3334

6 × 1667

First multiples

10,002 · 20,004 (double) · 30,006 · 40,008 · 50,010 · 60,012 · 70,014 · 80,016 · 90,018 · 100,020

Sums & aliquot sequence

As consecutive integers: 3,333 + 3,334 + 3,335 2,499 + 2,500 + 2,501 + 2,502 828 + 829 + … + 839

Aliquot sequence: 10,002 → 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 — unresolved within range

Continued fraction of √n

√10,002 = [100; (100, 200)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: ten thousand two
Ordinal: 10002nd
Binary: 10011100010010
Octal: 23422
Hexadecimal: 0x2712
Base64: JxI=
One's complement: 55,533 (16-bit)
Scientific notation: 1.0002 × 10⁴
As a duration: 10,002 s = 2 hours, 46 minutes, 42 seconds

In other bases

ternary (3) 111201110

quaternary (4) 2130102

quinary (5) 310002

senary (6) 114150

septenary (7) 41106

nonary (9) 14643

undecimal (11) 7573

duodecimal (12) 5956

tridecimal (13) 4725

tetradecimal (14) 3906

pentadecimal (15) 2e6c

As an angle

10,002° = 27 × 360° + 282°

282° ≈ 4.922 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓂍𓏺𓏺
Greek (Milesian): ͵ιβʹ
Mayan (base 20): 𝋡·𝋥·𝋠·𝋢
Chinese: 一萬零二
Chinese (financial): 壹萬零貳

In other modern scripts

Eastern Arabic ١٠٠٠٢ Devanagari १०००२ Bengali ১০০০২ Tamil ௧௦௦௦௨ Thai ๑๐๐๐๒ Tibetan ༡༠༠༠༢ Khmer ១០០០២ Lao ໑໐໐໐໒ Burmese ၁၀၀၀၂

Digit at this position in famous constants

π — Pi (π): Digit 10,002 = 5
e — Euler's number (e): Digit 10,002 = 5
φ — Golden ratio (φ): Digit 10,002 = 2
√2 — Pythagoras's (√2): Digit 10,002 = 5
ln 2 — Natural log of 2: Digit 10,002 = 6
γ — Euler-Mascheroni (γ): Digit 10,002 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10002, here are decompositions:

29 + 9973 = 10002
53 + 9949 = 10002
61 + 9941 = 10002
71 + 9931 = 10002
73 + 9929 = 10002
79 + 9923 = 10002
101 + 9901 = 10002
131 + 9871 = 10002

Showing the first eight; more decompositions exist.

Unicode codepoint

✒

Black Nib

U+2712

Other symbol (So)

UTF-8 encoding: E2 9C 92 (3 bytes).

Lookup U+2712 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#002712

RGB(0, 39, 18)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.18.

Address: 0.0.39.18
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.39.18

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

Musical pitch

Heard as a frequency, 10,002 Hz is closest to:

Concert pitch (A4 = 440 Hz): D♯9 (9956.1 Hz, +8¢)
Scientific pitch (C4 = 256 Hz): D♯9 (9742 Hz, +46¢ — about midway to E9)
Baroque pitch (A4 = 415 Hz): E9 (9948.8 Hz, +9¢)

Position in π

The digit sequence 10002 first appears in π at position 42,837 of the decimal expansion (the 42,837ordinal-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 10002 on Pi Search ↗