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123,731

123,731 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.).

123,731 (one hundred twenty-three thousand seven hundred thirty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1E353.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Evil Number Prime Sexy Prime Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
126
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
137,321
Square (n²)
15,309,360,361
Cube (n³)
1,894,242,466,826,891
Divisor count
2
σ(n) — sum of divisors
123,732
φ(n) — Euler's totient
123,730

Primality

123,731 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 123731
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 123,731)
1 × 123731
First multiples
123,731 · 247,462 (double) · 371,193 · 494,924 · 618,655 · 742,386 · 866,117 · 989,848 · 1,113,579 · 1,237,310

Sums & aliquot sequence

As consecutive integers: 61,865 + 61,866

Continued fraction of √n

√123,731 = [351; (1, 3, 14, 1, 2, 1, 1, 4, 1, 2, 10, 6, 1, 6, 1, 1, 1, 2, 351, 2, 1, 1, 1, 6, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-three thousand seven hundred thirty-one
Ordinal
123731st
Binary
11110001101010011
Octal
361523
Hexadecimal
0x1E353
Base64
AeNT
One's complement
4,294,843,564 (32-bit)
Scientific notation
1.23731 × 10⁵
As a duration
123,731 s = 1 day, 10 hours, 22 minutes, 11 seconds
In other bases
ternary (3) 20021201122
quaternary (4) 132031103
quinary (5) 12424411
senary (6) 2352455
septenary (7) 1023506
nonary (9) 207648
undecimal (11) 84a63
duodecimal (12) 5b72b
tridecimal (13) 4441a
tetradecimal (14) 3313d
pentadecimal (15) 269db

As an angle

123,731° = 343 × 360° + 251°
251° ≈ 4.381 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρκγψλαʹ
Mayan (base 20)
𝋯·𝋩·𝋦·𝋫
Chinese
一十二萬三千七百三十一
Chinese (financial)
壹拾貳萬參仟柒佰參拾壹
In other modern scripts
Eastern Arabic ١٢٣٧٣١ Devanagari १२३७३१ Bengali ১২৩৭৩১ Tamil ௧௨௩௭௩௧ Thai ๑๒๓๗๓๑ Tibetan ༡༢༣༧༣༡ Khmer ១២៣៧៣១ Lao ໑໒໓໗໓໑ Burmese ၁၂၃၇၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 123733, cousin with 123727.

Hex color
#01E353
RGB(1, 227, 83)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.227.83.

Address
0.1.227.83
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.227.83

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 123,731 and was likely granted around 1871.

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.