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120,817

120,817 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.).

120,817 (one hundred twenty thousand eight hundred seventeen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D7F1.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
718,021
Square (n²)
14,596,747,489
Cube (n³)
1,763,535,241,378,513
Divisor count
2
σ(n) — sum of divisors
120,818
φ(n) — Euler's totient
120,816

Primality

120,817 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 120817
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 120,817)
1 × 120817
First multiples
120,817 · 241,634 (double) · 362,451 · 483,268 · 604,085 · 724,902 · 845,719 · 966,536 · 1,087,353 · 1,208,170

Sums & aliquot sequence

As a sum of two squares: 89² + 336²
As consecutive integers: 60,408 + 60,409

Continued fraction of √n

√120,817 = [347; (1, 1, 2, 2, 1, 3, 2, 3, 5, 1, 1, 4, 2, 1, 1, 2, 1, 1, 21, 6, 1, 40, 28, 1, …)]

Representations

In words
one hundred twenty thousand eight hundred seventeen
Ordinal
120817th
Binary
11101011111110001
Octal
353761
Hexadecimal
0x1D7F1
Base64
Adfx
One's complement
4,294,846,478 (32-bit)
Scientific notation
1.20817 × 10⁵
As a duration
120,817 s = 1 day, 9 hours, 33 minutes, 37 seconds
In other bases
ternary (3) 20010201201
quaternary (4) 131133301
quinary (5) 12331232
senary (6) 2331201
septenary (7) 1012144
nonary (9) 203651
undecimal (11) 82854
duodecimal (12) 59b01
tridecimal (13) 42cb8
tetradecimal (14) 3205b
pentadecimal (15) 25be7

As an angle

120,817° = 335 × 360° + 217°
217° ≈ 3.787 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκωιζʹ
Mayan (base 20)
𝋯·𝋢·𝋠·𝋱
Chinese
一十二萬零八百一十七
Chinese (financial)
壹拾貳萬零捌佰壹拾柒
In other modern scripts
Eastern Arabic ١٢٠٨١٧ Devanagari १२०८१७ Bengali ১২০৮১৭ Tamil ௧௨௦௮௧௭ Thai ๑๒๐๘๑๗ Tibetan ༡༢༠༨༡༧ Khmer ១២០៨១៧ Lao ໑໒໐໘໑໗ Burmese ၁၂၀၈၁၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 120811, sexy with 120823.

Unicode codepoint
𝟱
Mathematical Sans-Serif Bold Digit Five
U+1D7F1
Decimal digit (Nd)

UTF-8 encoding: F0 9D 9F B1 (4 bytes).

Hex color
#01D7F1
RGB(1, 215, 241)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.215.241.

Address
0.1.215.241
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.215.241

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 120,817 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.