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162,821

162,821 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.).

162,821 (one hundred sixty-two thousand eight hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x27C05.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
20
Digit product
192
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
128,261
Recamán's sequence
a(473,645) = 162,821
Square (n²)
26,510,678,041
Cube (n³)
4,316,495,109,313,661
Divisor count
2
σ(n) — sum of divisors
162,822
φ(n) — Euler's totient
162,820

Primality

162,821 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 162821
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 162,821)
1 × 162821
First multiples
162,821 · 325,642 (double) · 488,463 · 651,284 · 814,105 · 976,926 · 1,139,747 · 1,302,568 · 1,465,389 · 1,628,210

Sums & aliquot sequence

As a sum of two squares: 161² + 370²
As consecutive integers: 81,410 + 81,411

Continued fraction of √n

√162,821 = [403; (1, 1, 22, 1, 1, 3, 1, 5, 1, 2, 1, 2, 2, 1, 3, 61, 1, 4, 4, 2, 28, 2, 1, 1, …)]

Representations

In words
one hundred sixty-two thousand eight hundred twenty-one
Ordinal
162821st
Binary
100111110000000101
Octal
476005
Hexadecimal
0x27C05
Base64
AnwF
One's complement
4,294,804,474 (32-bit)
Scientific notation
1.62821 × 10⁵
As a duration
162,821 s = 1 day, 21 hours, 13 minutes, 41 seconds
In other bases
ternary (3) 22021100102
quaternary (4) 213300011
quinary (5) 20202241
senary (6) 3253445
septenary (7) 1245461
nonary (9) 267312
undecimal (11) 10136a
duodecimal (12) 7a285
tridecimal (13) 59159
tetradecimal (14) 434a1
pentadecimal (15) 3339b

As an angle

162,821° = 452 × 360° + 101°
101° ≈ 1.763 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρξβωκαʹ
Chinese
一十六萬二千八百二十一
Chinese (financial)
壹拾陸萬貳仟捌佰貳拾壹
In other modern scripts
Eastern Arabic ١٦٢٨٢١ Devanagari १६२८२१ Bengali ১৬২৮২১ Tamil ௧௬௨௮௨௧ Thai ๑๖๒๘๒๑ Tibetan ༡༦༢༨༢༡ Khmer ១៦២៨២១ Lao ໑໖໒໘໒໑ Burmese ၁၆၂၈၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 162823.

Unicode codepoint
𧰅
CJK Unified Ideograph-27C05
U+27C05
Other letter (Lo)

UTF-8 encoding: F0 A7 B0 85 (4 bytes).

Hex color
#027C05
RGB(2, 124, 5)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.124.5.

Address
0.2.124.5
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.124.5

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 162,821 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 162821 first appears in π at position 34,519 of the decimal expansion (the 34,519ordinal-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.