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164,431

164,431 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.).

164,431 (one hundred sixty-four thousand four hundred thirty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2824F.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
288
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
134,461
Recamán's sequence
a(473,153) = 164,431
Square (n²)
27,037,553,761
Cube (n³)
4,445,812,002,474,991
Divisor count
2
σ(n) — sum of divisors
164,432
φ(n) — Euler's totient
164,430

Primality

164,431 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 164431
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 164,431)
1 × 164431
First multiples
164,431 · 328,862 (double) · 493,293 · 657,724 · 822,155 · 986,586 · 1,151,017 · 1,315,448 · 1,479,879 · 1,644,310

Sums & aliquot sequence

As consecutive integers: 82,215 + 82,216

Continued fraction of √n

√164,431 = [405; (1, 1, 269, 1, 5, 89, 1, 17, 29, 1, 53, 9, 1, 161, 3, 3, 53, 1, 3, 3, 2, 17, 1, 1, …)]

Representations

In words
one hundred sixty-four thousand four hundred thirty-one
Ordinal
164431st
Binary
101000001001001111
Octal
501117
Hexadecimal
0x2824F
Base64
AoJP
One's complement
4,294,802,864 (32-bit)
Scientific notation
1.64431 × 10⁵
As a duration
164,431 s = 1 day, 21 hours, 40 minutes, 31 seconds
In other bases
ternary (3) 22100120001
quaternary (4) 220021033
quinary (5) 20230211
senary (6) 3305131
septenary (7) 1253251
nonary (9) 270501
undecimal (11) 1025a3
duodecimal (12) 7b1a7
tridecimal (13) 59ac7
tetradecimal (14) 43cd1
pentadecimal (15) 33ac1

As an angle

164,431° = 456 × 360° + 271°
271° ≈ 4.73 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρξδυλαʹ
Chinese
一十六萬四千四百三十一
Chinese (financial)
壹拾陸萬肆仟肆佰參拾壹
In other modern scripts
Eastern Arabic ١٦٤٤٣١ Devanagari १६४४३१ Bengali ১৬৪৪৩১ Tamil ௧௬௪௪௩௧ Thai ๑๖๔๔๓๑ Tibetan ༡༦༤༤༣༡ Khmer ១៦៤៤៣១ Lao ໑໖໔໔໓໑ Burmese ၁၆၄၄၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 164429.

Unicode codepoint
𨉏
CJK Unified Ideograph-2824F
U+2824F
Other letter (Lo)

UTF-8 encoding: F0 A8 89 8F (4 bytes).

Hex color
#02824F
RGB(2, 130, 79)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.130.79.

Address
0.2.130.79
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.130.79

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 164,431 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 164431 first appears in π at position 265,841 of the decimal expansion (the 265,841ordinal-suffix:st 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.