number.wiki
Live analysis

104,003

104,003 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.).

104,003 (one hundred four thousand three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x19643.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
8
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
300,401
Recamán's sequence
a(94,097) = 104,003
Square (n²)
10,816,624,009
Cube (n³)
1,124,961,346,808,027
Divisor count
2
σ(n) — sum of divisors
104,004
φ(n) — Euler's totient
104,002

Primality

104,003 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 104003
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 104,003)
1 × 104003
First multiples
104,003 · 208,006 (double) · 312,009 · 416,012 · 520,015 · 624,018 · 728,021 · 832,024 · 936,027 · 1,040,030

Sums & aliquot sequence

As consecutive integers: 52,001 + 52,002

Continued fraction of √n

√104,003 = [322; (2, 49, 8, 1, 2, 3, 2, 7, 1, 16, 10, 1, 6, 1, 6, 4, 1, 2, 91, 1, 3, 1, 1, 1, …)]

Representations

In words
one hundred four thousand three
Ordinal
104003rd
Binary
11001011001000011
Octal
313103
Hexadecimal
0x19643
Base64
AZZD
One's complement
4,294,863,292 (32-bit)
Scientific notation
1.04003 × 10⁵
As a duration
104,003 s = 1 day, 4 hours, 53 minutes, 23 seconds
In other bases
ternary (3) 12021122222
quaternary (4) 121121003
quinary (5) 11312003
senary (6) 2121255
septenary (7) 612134
nonary (9) 167588
undecimal (11) 71159
duodecimal (12) 5022b
tridecimal (13) 38453
tetradecimal (14) 29c8b
pentadecimal (15) 20c38

As an angle

104,003° = 288 × 360° + 323°
323° ≈ 5.637 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓏺𓏺𓏺
Greek (Milesian)
͵ρδγʹ
Mayan (base 20)
𝋭·𝋠·𝋠·𝋣
Chinese
一十萬四千零三
Chinese (financial)
壹拾萬肆仟零參
In other modern scripts
Eastern Arabic ١٠٤٠٠٣ Devanagari १०४००३ Bengali ১০৪০০৩ Tamil ௧௦௪௦௦௩ Thai ๑๐๔๐๐๓ Tibetan ༡༠༤༠༠༣ Khmer ១០៤០០៣ Lao ໑໐໔໐໐໓ Burmese ၁၀၄၀၀၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 103997, sexy with 104009.

Hex color
#019643
RGB(1, 150, 67)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.67.

Address
0.1.150.67
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.150.67

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 104,003 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 104003 first appears in π at position 371,726 of the decimal expansion (the 371,726ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.