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172,049

172,049 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.).

172,049 (one hundred seventy-two thousand forty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2A011.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
940,271
Recamán's sequence
a(191,666) = 172,049
Square (n²)
29,600,858,401
Cube (n³)
5,092,798,087,033,649
Divisor count
2
σ(n) — sum of divisors
172,050
φ(n) — Euler's totient
172,048

Primality

172,049 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 172049
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 172,049)
1 × 172049
First multiples
172,049 · 344,098 (double) · 516,147 · 688,196 · 860,245 · 1,032,294 · 1,204,343 · 1,376,392 · 1,548,441 · 1,720,490

Sums & aliquot sequence

As a sum of two squares: 80² + 407²
As consecutive integers: 86,024 + 86,025

Continued fraction of √n

√172,049 = [414; (1, 3, 1, 2, 1, 1, 48, 4, 2, 20, 3, 2, 1, 1, 5, 2, 1, 1, 1, 2, 1, 1, 1, 6, …)]

Representations

In words
one hundred seventy-two thousand forty-nine
Ordinal
172049th
Binary
101010000000010001
Octal
520021
Hexadecimal
0x2A011
Base64
AqAR
One's complement
4,294,795,246 (32-bit)
Scientific notation
1.72049 × 10⁵
As a duration
172,049 s = 1 day, 23 hours, 47 minutes, 29 seconds
In other bases
ternary (3) 22202000012
quaternary (4) 222000101
quinary (5) 21001144
senary (6) 3404305
septenary (7) 1314413
nonary (9) 282005
undecimal (11) 108299
duodecimal (12) 83695
tridecimal (13) 60407
tetradecimal (14) 469b3
pentadecimal (15) 35e9e

As an angle

172,049° = 477 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ροβμθʹ
Chinese
一十七萬二千零四十九
Chinese (financial)
壹拾柒萬貳仟零肆拾玖
In other modern scripts
Eastern Arabic ١٧٢٠٤٩ Devanagari १७२०४९ Bengali ১৭২০৪৯ Tamil ௧௭௨௦௪௯ Thai ๑๗๒๐๔๙ Tibetan ༡༧༢༠༤༩ Khmer ១៧២០៤៩ Lao ໑໗໒໐໔໙ Burmese ၁၇၂၀၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𪀑
CJK Unified Ideograph-2A011
U+2A011
Other letter (Lo)

UTF-8 encoding: F0 AA 80 91 (4 bytes).

Hex color
#02A011
RGB(2, 160, 17)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.160.17.

Address
0.2.160.17
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.160.17

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 172,049 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 172049 first appears in π at position 332,309 of the decimal expansion (the 332,309ordinal-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.