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107,123

107,123 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.).

107,123 (one hundred seven thousand one hundred twenty-three) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1A273.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Odious Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
321,701
Recamán's sequence
a(82,301) = 107,123
Square (n²)
11,475,337,129
Cube (n³)
1,229,272,539,269,867
Divisor count
2
σ(n) — sum of divisors
107,124
φ(n) — Euler's totient
107,122

Primality

107,123 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 107123
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 107,123)
1 × 107123
First multiples
107,123 · 214,246 (double) · 321,369 · 428,492 · 535,615 · 642,738 · 749,861 · 856,984 · 964,107 · 1,071,230

Sums & aliquot sequence

As consecutive integers: 53,561 + 53,562

Continued fraction of √n

√107,123 = [327; (3, 2, 1, 2, 6, 3, 4, 3, 1, 5, 34, 3, 1, 1, 2, 2, 1, 2, 1, 8, 4, 4, 1, 1, …)]

Representations

In words
one hundred seven thousand one hundred twenty-three
Ordinal
107123rd
Binary
11010001001110011
Octal
321163
Hexadecimal
0x1A273
Base64
AaJz
One's complement
4,294,860,172 (32-bit)
Scientific notation
1.07123 × 10⁵
As a duration
107,123 s = 1 day, 5 hours, 45 minutes, 23 seconds
In other bases
ternary (3) 12102221112
quaternary (4) 122021303
quinary (5) 11411443
senary (6) 2143535
septenary (7) 624212
nonary (9) 172845
undecimal (11) 73535
duodecimal (12) 51bab
tridecimal (13) 399b3
tetradecimal (14) 2b079
pentadecimal (15) 21b18

As an angle

107,123° = 297 × 360° + 203°
203° ≈ 3.543 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρζρκγʹ
Mayan (base 20)
𝋭·𝋧·𝋰·𝋣
Chinese
十萬七千一百二十三
Chinese (financial)
壹拾萬柒仟壹佰貳拾參
In other modern scripts
Eastern Arabic ١٠٧١٢٣ Devanagari १०७१२३ Bengali ১০৭১২৩ Tamil ௧௦௭௧௨௩ Thai ๑๐๗๑๒๓ Tibetan ༡༠༧༡༢༣ Khmer ១០៧១២៣ Lao ໑໐໗໑໒໓ Burmese ၁၀၇၁၂၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 107119.

Hex color
#01A273
RGB(1, 162, 115)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.115.

Address
0.1.162.115
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.115

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 107,123 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 107123 first appears in π at position 497,492 of the decimal expansion (the 497,492ordinal-suffix:nd 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.