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123,997

123,997 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.).

123,997 (one hundred twenty-three thousand nine hundred ninety-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1E45D.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
31
Digit product
3,402
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
799,321
Recamán's sequence
a(238,170) = 123,997
Square (n²)
15,375,256,009
Cube (n³)
1,906,485,619,347,973
Divisor count
2
σ(n) — sum of divisors
123,998
φ(n) — Euler's totient
123,996

Primality

123,997 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 123997
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 123,997)
1 × 123997
First multiples
123,997 · 247,994 (double) · 371,991 · 495,988 · 619,985 · 743,982 · 867,979 · 991,976 · 1,115,973 · 1,239,970

Sums & aliquot sequence

As a sum of two squares: 186² + 299²
As consecutive integers: 61,998 + 61,999

Continued fraction of √n

√123,997 = [352; (7, 1, 1, 3, 175, 1, 3, 1, 1, 1, 1, 3, 1, 175, 3, 1, 1, 7, 704)]

Period length 19 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-three thousand nine hundred ninety-seven
Ordinal
123997th
Binary
11110010001011101
Octal
362135
Hexadecimal
0x1E45D
Base64
AeRd
One's complement
4,294,843,298 (32-bit)
Scientific notation
1.23997 × 10⁵
As a duration
123,997 s = 1 day, 10 hours, 26 minutes, 37 seconds
In other bases
ternary (3) 20022002111
quaternary (4) 132101131
quinary (5) 12431442
senary (6) 2354021
septenary (7) 1024336
nonary (9) 208074
undecimal (11) 85185
duodecimal (12) 5b911
tridecimal (13) 44593
tetradecimal (14) 3328d
pentadecimal (15) 26b17

As an angle

123,997° = 344 × 360° + 157°
157° ≈ 2.74 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκγϡϟζʹ
Mayan (base 20)
𝋯·𝋩·𝋳·𝋱
Chinese
一十二萬三千九百九十七
Chinese (financial)
壹拾貳萬參仟玖佰玖拾柒
In other modern scripts
Eastern Arabic ١٢٣٩٩٧ Devanagari १२३९९७ Bengali ১২৩৯৯৭ Tamil ௧௨௩௯௯௭ Thai ๑๒๓๙๙๗ Tibetan ༡༢༣༩༩༧ Khmer ១២៣៩៩៧ Lao ໑໒໓໙໙໗ Burmese ၁၂၃၉၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 124001.

Hex color
#01E45D
RGB(1, 228, 93)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.228.93.

Address
0.1.228.93
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.228.93

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 123,997 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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.