Live analysis

108,003

108,003 is a composite number, odd.

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.).

108,003 (one hundred eight thousand three) is an odd 6-digit number. It is a composite number with 16 divisors, and factors as 3 × 7 × 37 × 139. Written other ways, in hexadecimal, 0x1A5E3.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence Self Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

107,991 107,992 107,993 107,994 107,995 107,996 107,997 107,998 107,999 108,000 108,001 108,002 108,003 108,004 108,005 108,006 108,007 108,008 108,009 108,010 108,011 108,012 108,013 108,014 108,015

less more

Properties

Parity: Odd
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 300,801
Recamán's sequence: a(46,945) = 108,003
Square (n²): 11,664,648,009
Cube (n³): 1,259,816,978,916,027
Divisor count: 16
σ(n) — sum of divisors: 170,240
φ(n) — Euler's totient: 59,616
Sum of prime factors: 186

Primality

Prime factorization: 3 × 7 × 37 × 139

Nearest primes: 107,999 (−4) · 108,007 (+4)

Divisors & multiples

All divisors (16)

1 · 3 · 7 · 21 · 37 · 111 · 139 · 259 · 417 · 777 · 973 · 2919 · 5143 · 15429 · 36001 · 108003

Aliquot sum (sum of proper divisors): 62,237

Factor pairs (a × b = 108,003)

1 × 108003

3 × 36001

7 × 15429

21 × 5143

37 × 2919

111 × 973

139 × 777

259 × 417

First multiples

108,003 · 216,006 (double) · 324,009 · 432,012 · 540,015 · 648,018 · 756,021 · 864,024 · 972,027 · 1,080,030

Sums & aliquot sequence

As consecutive integers: 54,001 + 54,002 36,000 + 36,001 + 36,002 17,998 + 17,999 + 18,000 + 18,001 + 18,002 + 18,003 15,426 + 15,427 + … + 15,432

Aliquot sequence: 108,003 → 62,237 → 13,219 → 1 → 0 — terminates at zero

Continued fraction of √n

√108,003 = [328; (1, 1, 1, 3, 4, 2, 24, 1, 4, 1, 24, 2, 4, 3, 1, 1, 1, 656)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: one hundred eight thousand three
Ordinal: 108003rd
Binary: 11010010111100011
Octal: 322743
Hexadecimal: 0x1A5E3
Base64: AaXj
One's complement: 4,294,859,292 (32-bit)
Scientific notation: 1.08003 × 10⁵
As a duration: 108,003 s = 1 day, 6 hours, 3 seconds

In other bases

ternary (3) 12111011010

quaternary (4) 122113203

quinary (5) 11424003

senary (6) 2152003

septenary (7) 626610

nonary (9) 174133

undecimal (11) 74165

duodecimal (12) 52603

tridecimal (13) 3a20c

tetradecimal (14) 2b507

pentadecimal (15) 22003

As an angle

108,003° = 300 × 360° + 3°

3° ≈ 0.052 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋 · 𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺
Greek (Milesian): ͵ρηγʹ
Mayan (base 20): 𝋭·𝋪·𝋠·𝋣
Chinese: 十萬八千零三
Chinese (financial): 壹拾萬捌仟零參

In other modern scripts

Eastern Arabic ١٠٨٠٠٣ Devanagari १०८००३ Bengali ১০৮০০৩ Tamil ௧௦௮௦௦௩ Thai ๑๐๘๐๐๓ Tibetan ༡༠༨༠༠༣ Khmer ១០៨០០៣ Lao ໑໐໘໐໐໓ Burmese ၁၀၈၀၀၃

Also seen as

Hex color

#01A5E3

RGB(1, 165, 227)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.165.227.

Address: 0.1.165.227
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.165.227

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 108,003 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US108,003 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 108003 first appears in π at position 560,853 of the decimal expansion (the 560,853ordinal-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 108003 on Pi Search ↗