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100,003

100,003 is a prime, 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.).
Arithmetic Number Deficient Number Evil Number Happy Number Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
6
Digit sum
4
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
300,001
Recamán's sequence
a(255,834) = 100,003
Square (n²)
10,000,600,009
Cube (n³)
1,000,090,002,700,027
Divisor count
2
σ(n) — sum of divisors
100,004
φ(n) — Euler's totient
100,002

Primality

100,003 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 100003
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 100,003)
1 × 100003
First multiples
100,003 · 200,006 (double) · 300,009 · 400,012 · 500,015 · 600,018 · 700,021 · 800,024 · 900,027 · 1,000,030

Sums & aliquot sequence

As consecutive integers: 50,001 + 50,002

Representations

In words
one hundred thousand three
Ordinal
100003rd
Binary
11000011010100011
Octal
303243
Hexadecimal
0x186A3
Base64
AYaj
One's complement
4,294,867,292 (32-bit)
In other bases
ternary (3) 12002011211
quaternary (4) 120122203
quinary (5) 11200003
senary (6) 2050551
septenary (7) 564361
nonary (9) 162154
undecimal (11) 69152
duodecimal (12) 49a57
tridecimal (13) 36697
tetradecimal (14) 28631
pentadecimal (15) 1e96d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓏺𓏺𓏺
Greek (Milesian)
͵ργʹ
Mayan (base 20)
𝋬·𝋪·𝋠·𝋣
Chinese
一十萬零三
Chinese (financial)
壹拾萬零參
In other modern scripts
Eastern Arabic ١٠٠٠٠٣ Devanagari १००००३ Bengali ১০০০০৩ Tamil ௧௦௦௦௦௩ Thai ๑๐๐๐๐๓ Tibetan ༡༠༠༠༠༣ Khmer ១០០០០៣ Lao ໑໐໐໐໐໓ Burmese ၁၀၀၀၀၃

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 99,991 (gap of 12)
  • Next prime: 100,019 (gap of 16)
Unicode codepoint
𘚣
Tangut Ideograph-186A3
U+186A3
Other letter (Lo)

UTF-8 encoding: F0 98 9A A3 (4 bytes).

Hex color
#0186A3
RGB(1, 134, 163)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.134.163.

Address
0.1.134.163
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.134.163

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 100,003 and was likely granted around 1870.

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

Position in π

The digit sequence 100003 first appears in π at position 515,290 of the decimal expansion (the 515,290ordinal-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.