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120,017

120,017 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.).

120,017 (one hundred twenty thousand seventeen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1D4D1.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
710,021
Recamán's sequence
a(240,062) = 120,017
Square (n²)
14,404,080,289
Cube (n³)
1,728,734,504,044,913
Divisor count
2
σ(n) — sum of divisors
120,018
φ(n) — Euler's totient
120,016

Primality

120,017 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 120017
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 120,017)
1 × 120017
First multiples
120,017 · 240,034 (double) · 360,051 · 480,068 · 600,085 · 720,102 · 840,119 · 960,136 · 1,080,153 · 1,200,170

Sums & aliquot sequence

As a sum of two squares: 41² + 344²
As consecutive integers: 60,008 + 60,009

Continued fraction of √n

√120,017 = [346; (2, 3, 3, 22, 21, 1, 1, 1, 1, 4, 1, 5, 1, 5, 3, 1, 1, 2, 7, 4, 2, 4, 1, 5, …)]

Representations

In words
one hundred twenty thousand seventeen
Ordinal
120017th
Binary
11101010011010001
Octal
352321
Hexadecimal
0x1D4D1
Base64
AdTR
One's complement
4,294,847,278 (32-bit)
Scientific notation
1.20017 × 10⁵
As a duration
120,017 s = 1 day, 9 hours, 20 minutes, 17 seconds
In other bases
ternary (3) 20002122002
quaternary (4) 131103101
quinary (5) 12320032
senary (6) 2323345
septenary (7) 1006622
nonary (9) 202562
undecimal (11) 82197
duodecimal (12) 59555
tridecimal (13) 42821
tetradecimal (14) 31a49
pentadecimal (15) 25862
Palindromic in base 16

As an angle

120,017° = 333 × 360° + 137°
137° ≈ 2.391 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκιζʹ
Mayan (base 20)
𝋯·𝋠·𝋠·𝋱
Chinese
一十二萬零一十七
Chinese (financial)
壹拾貳萬零壹拾柒
In other modern scripts
Eastern Arabic ١٢٠٠١٧ Devanagari १२००१७ Bengali ১২০০১৭ Tamil ௧௨௦௦௧௭ Thai ๑๒๐๐๑๗ Tibetan ༡༢༠༠༡༧ Khmer ១២០០១៧ Lao ໑໒໐໐໑໗ Burmese ၁၂၀၀၁၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 120011.

Unicode codepoint
𝓑
Mathematical Bold Script Capital B
U+1D4D1
Uppercase letter (Lu)

UTF-8 encoding: F0 9D 93 91 (4 bytes).

Hex color
#01D4D1
RGB(1, 212, 209)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.212.209.

Address
0.1.212.209
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.212.209

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 120,017 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 120017 first appears in π at position 111,510 of the decimal expansion (the 111,510ordinal-suffix:th 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.