number.wiki
Live analysis

120,997

120,997 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.).

120,997 (one hundred twenty 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, 0x1D8A5.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
799,021
Square (n²)
14,640,274,009
Cube (n³)
1,771,429,234,266,973
Divisor count
2
σ(n) — sum of divisors
120,998
φ(n) — Euler's totient
120,996

Primality

120,997 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 120997
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 120,997)
1 × 120997
First multiples
120,997 · 241,994 (double) · 362,991 · 483,988 · 604,985 · 725,982 · 846,979 · 967,976 · 1,088,973 · 1,209,970

Sums & aliquot sequence

As a sum of two squares: 134² + 321²
As consecutive integers: 60,498 + 60,499

Continued fraction of √n

√120,997 = [347; (1, 5, 1, 1, 76, 1, 3, 5, 1, 1, 2, 8, 5, 8, 1, 23, 10, 5, 3, 2, 2, 4, 3, 2, …)]

Representations

In words
one hundred twenty thousand nine hundred ninety-seven
Ordinal
120997th
Binary
11101100010100101
Octal
354245
Hexadecimal
0x1D8A5
Base64
Adil
One's complement
4,294,846,298 (32-bit)
Scientific notation
1.20997 × 10⁵
As a duration
120,997 s = 1 day, 9 hours, 36 minutes, 37 seconds
In other bases
ternary (3) 20010222101
quaternary (4) 131202211
quinary (5) 12332442
senary (6) 2332101
septenary (7) 1012522
nonary (9) 203871
undecimal (11) 829a8
duodecimal (12) 5a031
tridecimal (13) 430c6
tetradecimal (14) 32149
pentadecimal (15) 25cb7

As an angle

120,997° = 336 × 360° + 37°
37° ≈ 0.646 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκϡϟζʹ
Mayan (base 20)
𝋯·𝋢·𝋩·𝋱
Chinese
一十二萬零九百九十七
Chinese (financial)
壹拾貳萬零玖佰玖拾柒
In other modern scripts
Eastern Arabic ١٢٠٩٩٧ Devanagari १२०९९७ Bengali ১২০৯৯৭ Tamil ௧௨௦௯௯௭ Thai ๑๒๐๙๙๗ Tibetan ༡༢༠༩༩༧ Khmer ១២០៩៩៧ Lao ໑໒໐໙໙໗ Burmese ၁၂၀၉၉၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 121001.

Unicode codepoint
𝢥
Signwriting Hand-Circle Index Middle Little
U+1D8A5
Other symbol (So)

UTF-8 encoding: F0 9D A2 A5 (4 bytes).

Hex color
#01D8A5
RGB(1, 216, 165)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.216.165.

Address
0.1.216.165
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.216.165

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 120,997 and was likely granted around 1871.

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

Position in π

The digit sequence 120997 first appears in π at position 504,272 of the decimal expansion (the 504,272ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.