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163,729

163,729 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.).

163,729 (one hundred sixty-three thousand seven hundred twenty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x27F91.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
2,268
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
927,361
Square (n²)
26,807,185,441
Cube (n³)
4,389,113,665,069,489
Divisor count
2
σ(n) — sum of divisors
163,730
φ(n) — Euler's totient
163,728

Primality

163,729 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 163729
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 163,729)
1 × 163729
First multiples
163,729 · 327,458 (double) · 491,187 · 654,916 · 818,645 · 982,374 · 1,146,103 · 1,309,832 · 1,473,561 · 1,637,290

Sums & aliquot sequence

As a sum of two squares: 152² + 375²
As consecutive integers: 81,864 + 81,865

Continued fraction of √n

√163,729 = [404; (1, 1, 1, 2, 1, 3, 2, 19, 1, 3, 1, 3, 1, 1, 2, 1, 3, 2, 1, 1, 3, 25, 1, 4, …)]

Representations

In words
one hundred sixty-three thousand seven hundred twenty-nine
Ordinal
163729th
Binary
100111111110010001
Octal
477621
Hexadecimal
0x27F91
Base64
An+R
One's complement
4,294,803,566 (32-bit)
Scientific notation
1.63729 × 10⁵
As a duration
163,729 s = 1 day, 21 hours, 28 minutes, 49 seconds
In other bases
ternary (3) 22022121001
quaternary (4) 213332101
quinary (5) 20214404
senary (6) 3302001
septenary (7) 1251226
nonary (9) 268531
undecimal (11) 102015
duodecimal (12) 7a901
tridecimal (13) 596a7
tetradecimal (14) 4394d
pentadecimal (15) 337a4

As an angle

163,729° = 454 × 360° + 289°
289° ≈ 5.044 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξγψκθʹ
Chinese
一十六萬三千七百二十九
Chinese (financial)
壹拾陸萬參仟柒佰貳拾玖
In other modern scripts
Eastern Arabic ١٦٣٧٢٩ Devanagari १६३७२९ Bengali ১৬৩৭২৯ Tamil ௧௬௩௭௨௯ Thai ๑๖๓๗๒๙ Tibetan ༡༦༣༧༢༩ Khmer ១៦៣៧២៩ Lao ໑໖໓໗໒໙ Burmese ၁၆၃၇၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 163733.

Unicode codepoint
𧾑
CJK Unified Ideograph-27F91
U+27F91
Other letter (Lo)

UTF-8 encoding: F0 A7 BE 91 (4 bytes).

Hex color
#027F91
RGB(2, 127, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.127.145.

Address
0.2.127.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.127.145

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 163,729 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 163729 first appears in π at position 720,237 of the decimal expansion (the 720,237ordinal-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.