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140,321

140,321 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.).

140,321 (one hundred forty thousand three 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, 0x22421.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
123,041
Recamán's sequence
a(488,185) = 140,321
Square (n²)
19,689,983,041
Cube (n³)
2,762,918,110,296,161
Divisor count
2
σ(n) — sum of divisors
140,322
φ(n) — Euler's totient
140,320

Primality

140,321 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 140321
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 140,321)
1 × 140321
First multiples
140,321 · 280,642 (double) · 420,963 · 561,284 · 701,605 · 841,926 · 982,247 · 1,122,568 · 1,262,889 · 1,403,210

Sums & aliquot sequence

As a sum of two squares: 100² + 361²
As consecutive integers: 70,160 + 70,161

Continued fraction of √n

√140,321 = [374; (1, 1, 2, 6, 1, 4, 10, 2, 1, 7, 1, 5, 9, 5, 7, 1, 2, 4, 2, 1, 67, 2, 2, 1, …)]

Representations

In words
one hundred forty thousand three hundred twenty-one
Ordinal
140321st
Binary
100010010000100001
Octal
422041
Hexadecimal
0x22421
Base64
AiQh
One's complement
4,294,826,974 (32-bit)
Scientific notation
1.40321 × 10⁵
As a duration
140,321 s = 1 day, 14 hours, 58 minutes, 41 seconds
In other bases
ternary (3) 21010111002
quaternary (4) 202100201
quinary (5) 13442241
senary (6) 3001345
septenary (7) 1123046
nonary (9) 233432
undecimal (11) 96475
duodecimal (12) 69255
tridecimal (13) 4bb3c
tetradecimal (14) 391cd
pentadecimal (15) 2b89b

As an angle

140,321° = 389 × 360° + 281°
281° ≈ 4.904 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρμτκαʹ
Mayan (base 20)
𝋱·𝋪·𝋰·𝋡
Chinese
一十四萬零三百二十一
Chinese (financial)
壹拾肆萬零參佰貳拾壹
In other modern scripts
Eastern Arabic ١٤٠٣٢١ Devanagari १४०३२१ Bengali ১৪০৩২১ Tamil ௧௪௦௩௨௧ Thai ๑๔๐๓๒๑ Tibetan ༡༤༠༣༢༡ Khmer ១៤០៣២១ Lao ໑໔໐໓໒໑ Burmese ၁၄၀၃၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 140317.

Unicode codepoint
𢐡
CJK Unified Ideograph-22421
U+22421
Other letter (Lo)

UTF-8 encoding: F0 A2 90 A1 (4 bytes).

Hex color
#022421
RGB(2, 36, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.36.33.

Address
0.2.36.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.36.33

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 140,321 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 140321 first appears in π at position 198,187 of the decimal expansion (the 198,187ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.