number.wiki
Live analysis

103,001

103,001 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.).

103,001 (one hundred three thousand one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x19259.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
5
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
100,301
Recamán's sequence
a(96,733) = 103,001
Square (n²)
10,609,206,001
Cube (n³)
1,092,758,827,309,001
Divisor count
2
σ(n) — sum of divisors
103,002
φ(n) — Euler's totient
103,000

Primality

103,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 103001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 103,001)
1 × 103001
First multiples
103,001 · 206,002 (double) · 309,003 · 412,004 · 515,005 · 618,006 · 721,007 · 824,008 · 927,009 · 1,030,010

Sums & aliquot sequence

As a sum of two squares: 200² + 251²
As consecutive integers: 51,500 + 51,501

Continued fraction of √n

√103,001 = [320; (1, 15, 20, 1, 1, 1, 4, 17, 7, 2, 37, 3, 2, 3, 1, 7, 4, 79, 1, 127, 2, 1, 1, 2, …)]

Representations

In words
one hundred three thousand one
Ordinal
103001st
Binary
11001001001011001
Octal
311131
Hexadecimal
0x19259
Base64
AZJZ
One's complement
4,294,864,294 (32-bit)
Scientific notation
1.03001 × 10⁵
As a duration
103,001 s = 1 day, 4 hours, 36 minutes, 41 seconds
In other bases
ternary (3) 12020021212
quaternary (4) 121021121
quinary (5) 11244001
senary (6) 2112505
septenary (7) 606203
nonary (9) 166255
undecimal (11) 70428
duodecimal (12) 4b735
tridecimal (13) 37b62
tetradecimal (14) 29773
pentadecimal (15) 207bb

As an angle

103,001° = 286 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓏺
Greek (Milesian)
͵ργαʹ
Mayan (base 20)
𝋬·𝋱·𝋪·𝋡
Chinese
一十萬三千零一
Chinese (financial)
壹拾萬參仟零壹
In other modern scripts
Eastern Arabic ١٠٣٠٠١ Devanagari १०३००१ Bengali ১০৩০০১ Tamil ௧௦௩௦௦௧ Thai ๑๐๓๐๐๑ Tibetan ༡༠༣༠༠༡ Khmer ១០៣០០១ Lao ໑໐໓໐໐໑ Burmese ၁၀၃၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 103007.

Hex color
#019259
RGB(1, 146, 89)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.146.89.

Address
0.1.146.89
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.146.89

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 103,001 and was likely granted around 1870.

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

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.