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137,849

137,849 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.).

137,849 (one hundred thirty-seven thousand eight hundred forty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21A79.

Arithmetic Number Balanced Prime Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
6,048
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
948,731
Recamán's sequence
a(493,129) = 137,849
Square (n²)
19,002,346,801
Cube (n³)
2,619,454,504,171,049
Divisor count
2
σ(n) — sum of divisors
137,850
φ(n) — Euler's totient
137,848

Primality

137,849 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137849
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,849)
1 × 137849
First multiples
137,849 · 275,698 (double) · 413,547 · 551,396 · 689,245 · 827,094 · 964,943 · 1,102,792 · 1,240,641 · 1,378,490

Sums & aliquot sequence

As a sum of two squares: 68² + 365²
As consecutive integers: 68,924 + 68,925

Continued fraction of √n

√137,849 = [371; (3, 1, 1, 3, 7, 13, 1, 6, 1, 7, 1, 6, 3, 1, 22, 2, 4, 6, 1, 1, 2, 3, 2, 38, …)]

Representations

In words
one hundred thirty-seven thousand eight hundred forty-nine
Ordinal
137849th
Binary
100001101001111001
Octal
415171
Hexadecimal
0x21A79
Base64
Ahp5
One's complement
4,294,829,446 (32-bit)
Scientific notation
1.37849 × 10⁵
As a duration
137,849 s = 1 day, 14 hours, 17 minutes, 29 seconds
In other bases
ternary (3) 21000002112
quaternary (4) 201221321
quinary (5) 13402344
senary (6) 2542105
septenary (7) 1112615
nonary (9) 230075
undecimal (11) 94628
duodecimal (12) 67935
tridecimal (13) 4a98a
tetradecimal (14) 38345
pentadecimal (15) 2ac9e

As an angle

137,849° = 382 × 360° + 329°
329° ≈ 5.742 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζωμθʹ
Mayan (base 20)
𝋱·𝋤·𝋬·𝋩
Chinese
一十三萬七千八百四十九
Chinese (financial)
壹拾參萬柒仟捌佰肆拾玖
In other modern scripts
Eastern Arabic ١٣٧٨٤٩ Devanagari १३७८४९ Bengali ১৩৭৮৪৯ Tamil ௧௩௭௮௪௯ Thai ๑๓๗๘๔๙ Tibetan ༡༣༧༨༤༩ Khmer ១៣៧៨៤៩ Lao ໑໓໗໘໔໙ Burmese ၁၃၇၈၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡩹
CJK Unified Ideograph-21A79
U+21A79
Other letter (Lo)

UTF-8 encoding: F0 A1 A9 B9 (4 bytes).

Hex color
#021A79
RGB(2, 26, 121)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.121.

Address
0.2.26.121
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.121

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 137,849 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 137849 first appears in π at position 173,532 of the decimal expansion (the 173,532ordinal-suffix:nd 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.