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140,837

140,837 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.).

140,837 (one hundred forty thousand eight hundred thirty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x22625.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
738,041
Recamán's sequence
a(487,153) = 140,837
Square (n²)
19,835,060,569
Cube (n³)
2,793,510,425,356,253
Divisor count
2
σ(n) — sum of divisors
140,838
φ(n) — Euler's totient
140,836

Primality

140,837 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 140837
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 140,837)
1 × 140837
First multiples
140,837 · 281,674 (double) · 422,511 · 563,348 · 704,185 · 845,022 · 985,859 · 1,126,696 · 1,267,533 · 1,408,370

Sums & aliquot sequence

As a sum of two squares: 31² + 374²
As consecutive integers: 70,418 + 70,419

Continued fraction of √n

√140,837 = [375; (3, 1, 1, 5, 1, 8, 1, 8, 1, 43, 3, 1, 31, 1, 7, 2, 6, 2, 2, 2, 5, 4, 2, 1, …)]

Representations

In words
one hundred forty thousand eight hundred thirty-seven
Ordinal
140837th
Binary
100010011000100101
Octal
423045
Hexadecimal
0x22625
Base64
AiYl
One's complement
4,294,826,458 (32-bit)
Scientific notation
1.40837 × 10⁵
As a duration
140,837 s = 1 day, 15 hours, 7 minutes, 17 seconds
In other bases
ternary (3) 21011012012
quaternary (4) 202120211
quinary (5) 14001322
senary (6) 3004005
septenary (7) 1124414
nonary (9) 234165
undecimal (11) 968a4
duodecimal (12) 69605
tridecimal (13) 4c148
tetradecimal (14) 3947b
pentadecimal (15) 2bae2

As an angle

140,837° = 391 × 360° + 77°
77° ≈ 1.344 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμωλζʹ
Mayan (base 20)
𝋱·𝋬·𝋡·𝋱
Chinese
一十四萬零八百三十七
Chinese (financial)
壹拾肆萬零捌佰參拾柒
In other modern scripts
Eastern Arabic ١٤٠٨٣٧ Devanagari १४०८३७ Bengali ১৪০৮৩৭ Tamil ௧௪௦௮௩௭ Thai ๑๔๐๘๓๗ Tibetan ༡༤༠༨༣༧ Khmer ១៤០៨៣៧ Lao ໑໔໐໘໓໗ Burmese ၁၄၀၈၃၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 140839, sexy with 140831.

Unicode codepoint
𢘥
CJK Unified Ideograph-22625
U+22625
Other letter (Lo)

UTF-8 encoding: F0 A2 98 A5 (4 bytes).

Hex color
#022625
RGB(2, 38, 37)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.38.37.

Address
0.2.38.37
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.38.37

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 140,837 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 140837 first appears in π at position 597,033 of the decimal expansion (the 597,033ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.