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173,021

173,021 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.).

173,021 (one hundred seventy-three thousand twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2A3DD.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
120,371
Square (n²)
29,936,266,441
Cube (n³)
5,179,602,755,888,261
Divisor count
2
σ(n) — sum of divisors
173,022
φ(n) — Euler's totient
173,020

Primality

173,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 173021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 173,021)
1 × 173021
First multiples
173,021 · 346,042 (double) · 519,063 · 692,084 · 865,105 · 1,038,126 · 1,211,147 · 1,384,168 · 1,557,189 · 1,730,210

Sums & aliquot sequence

As a sum of two squares: 155² + 386²
As consecutive integers: 86,510 + 86,511

Continued fraction of √n

√173,021 = [415; (1, 22, 1, 3, 2, 1, 5, 4, 207, 1, 2, 1, 5, 5, 5, 5, 1, 2, 1, 207, 4, 5, 1, 2, …)]

Period length 29 — the block in parentheses repeats forever.

Representations

In words
one hundred seventy-three thousand twenty-one
Ordinal
173021st
Binary
101010001111011101
Octal
521735
Hexadecimal
0x2A3DD
Base64
AqPd
One's complement
4,294,794,274 (32-bit)
Scientific notation
1.73021 × 10⁵
As a duration
173,021 s = 2 days, 3 minutes, 41 seconds
In other bases
ternary (3) 22210100012
quaternary (4) 222033131
quinary (5) 21014041
senary (6) 3413005
septenary (7) 1320302
nonary (9) 283305
undecimal (11) 108aa2
duodecimal (12) 84165
tridecimal (13) 609a4
tetradecimal (14) 470a9
pentadecimal (15) 363eb

As an angle

173,021° = 480 × 360° + 221°
221° ≈ 3.857 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓎆𓎆𓏺
Greek (Milesian)
͵ρογκαʹ
Chinese
一十七萬三千零二十一
Chinese (financial)
壹拾柒萬參仟零貳拾壹
In other modern scripts
Eastern Arabic ١٧٣٠٢١ Devanagari १७३०२१ Bengali ১৭৩০২১ Tamil ௧௭௩௦௨௧ Thai ๑๗๓๐๒๑ Tibetan ༡༧༣༠༢༡ Khmer ១៧៣០២១ Lao ໑໗໓໐໒໑ Burmese ၁၇၃၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 173023.

Unicode codepoint
𪏝
CJK Unified Ideograph-2A3Dd
U+2A3DD
Other letter (Lo)

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

Hex color
#02A3DD
RGB(2, 163, 221)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.163.221.

Address
0.2.163.221
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.163.221

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 173,021 and was likely granted around 1874.

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

Position in π

The digit sequence 173021 first appears in π at position 243,690 of the decimal expansion (the 243,690ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.