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172,021

172,021 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.).

172,021 (one hundred seventy-two 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, 0x29FF5.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
120,271
Recamán's sequence
a(191,722) = 172,021
Square (n²)
29,591,224,441
Cube (n³)
5,090,312,019,565,261
Divisor count
2
σ(n) — sum of divisors
172,022
φ(n) — Euler's totient
172,020

Primality

172,021 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 172021
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 172,021)
1 × 172021
First multiples
172,021 · 344,042 (double) · 516,063 · 688,084 · 860,105 · 1,032,126 · 1,204,147 · 1,376,168 · 1,548,189 · 1,720,210

Sums & aliquot sequence

As a sum of two squares: 25² + 414²
As consecutive integers: 86,010 + 86,011

Continued fraction of √n

√172,021 = [414; (1, 3, 14, 1, 4, 1, 18, 2, 5, 1, 1, 1, 11, 2, 1, 2, 8, 1, 1, 4, 1, 27, 1, 3, …)]

Representations

In words
one hundred seventy-two thousand twenty-one
Ordinal
172021st
Binary
101001111111110101
Octal
517765
Hexadecimal
0x29FF5
Base64
Ap/1
One's complement
4,294,795,274 (32-bit)
Scientific notation
1.72021 × 10⁵
As a duration
172,021 s = 1 day, 23 hours, 47 minutes, 1 second
In other bases
ternary (3) 22201222011
quaternary (4) 221333311
quinary (5) 21001041
senary (6) 3404221
septenary (7) 1314343
nonary (9) 281864
undecimal (11) 108273
duodecimal (12) 83671
tridecimal (13) 603b5
tetradecimal (14) 46993
pentadecimal (15) 35e81

As an angle

172,021° = 477 × 360° + 301°
301° ≈ 5.253 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓏺
Greek (Milesian)
͵ροβκαʹ
Chinese
一十七萬二千零二十一
Chinese (financial)
壹拾柒萬貳仟零貳拾壹
In other modern scripts
Eastern Arabic ١٧٢٠٢١ Devanagari १७२०२१ Bengali ১৭২০২১ Tamil ௧௭௨௦௨௧ Thai ๑๗๒๐๒๑ Tibetan ༡༧༢༠༢༡ Khmer ១៧២០២១ Lao ໑໗໒໐໒໑ Burmese ၁၇၂၀၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 172027.

Unicode codepoint
𩿵
CJK Unified Ideograph-29Ff5
U+29FF5
Other letter (Lo)

UTF-8 encoding: F0 A9 BF B5 (4 bytes).

Hex color
#029FF5
RGB(2, 159, 245)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.159.245.

Address
0.2.159.245
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.159.245

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 172,021 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 172021 first appears in π at position 530,856 of the decimal expansion (the 530,856ordinal-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.