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164,729

164,729 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.).

164,729 (one hundred sixty-four 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, 0x28379.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
29
Digit product
3,024
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
927,461
Square (n²)
27,135,643,441
Cube (n³)
4,470,027,408,392,489
Divisor count
2
σ(n) — sum of divisors
164,730
φ(n) — Euler's totient
164,728

Primality

164,729 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 164729
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 164,729)
1 × 164729
First multiples
164,729 · 329,458 (double) · 494,187 · 658,916 · 823,645 · 988,374 · 1,153,103 · 1,317,832 · 1,482,561 · 1,647,290

Sums & aliquot sequence

As a sum of two squares: 160² + 373²
As consecutive integers: 82,364 + 82,365

Continued fraction of √n

√164,729 = [405; (1, 6, 1, 1, 2, 2, 1, 4, 2, 1, 2, 1, 1, 5, 50, 1, 1, 4, 9, 3, 19, 1, 34, 2, …)]

Representations

In words
one hundred sixty-four thousand seven hundred twenty-nine
Ordinal
164729th
Binary
101000001101111001
Octal
501571
Hexadecimal
0x28379
Base64
AoN5
One's complement
4,294,802,566 (32-bit)
Scientific notation
1.64729 × 10⁵
As a duration
164,729 s = 1 day, 21 hours, 45 minutes, 29 seconds
In other bases
ternary (3) 22100222002
quaternary (4) 220031321
quinary (5) 20232404
senary (6) 3310345
septenary (7) 1254155
nonary (9) 270862
undecimal (11) 102844
duodecimal (12) 7b3b5
tridecimal (13) 59c96
tetradecimal (14) 44065
pentadecimal (15) 33c1e

As an angle

164,729° = 457 × 360° + 209°
209° ≈ 3.648 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρξδψκθʹ
Chinese
一十六萬四千七百二十九
Chinese (financial)
壹拾陸萬肆仟柒佰貳拾玖
In other modern scripts
Eastern Arabic ١٦٤٧٢٩ Devanagari १६४७२९ Bengali ১৬৪৭২৯ Tamil ௧௬௪௭௨௯ Thai ๑๖๔๗๒๙ Tibetan ༡༦༤༧༢༩ Khmer ១៦៤៧២៩ Lao ໑໖໔໗໒໙ Burmese ၁၆၄၇၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𨍹
CJK Unified Ideograph-28379
U+28379
Other letter (Lo)

UTF-8 encoding: F0 A8 8D B9 (4 bytes).

Hex color
#028379
RGB(2, 131, 121)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.131.121.

Address
0.2.131.121
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.131.121

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 164,729 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 164729 first appears in π at position 342,973 of the decimal expansion (the 342,973ordinal-suffix:rd 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.