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137,827

137,827 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.).

137,827 (one hundred thirty-seven thousand eight hundred twenty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21A63.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Evil Number Happy Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
2,352
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
728,731
Recamán's sequence
a(493,173) = 137,827
Square (n²)
18,996,281,929
Cube (n³)
2,618,200,549,428,283
Divisor count
2
σ(n) — sum of divisors
137,828
φ(n) — Euler's totient
137,826

Primality

137,827 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137827
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,827)
1 × 137827
First multiples
137,827 · 275,654 (double) · 413,481 · 551,308 · 689,135 · 826,962 · 964,789 · 1,102,616 · 1,240,443 · 1,378,270

Sums & aliquot sequence

As consecutive integers: 68,913 + 68,914

Continued fraction of √n

√137,827 = [371; (3, 1, 105, 3, 9, 15, 21, 1, 3, 2, 1, 1, 2, 1, 1, 2, 1, 1, 5, 1, 13, 1, 2, 2, …)]

Representations

In words
one hundred thirty-seven thousand eight hundred twenty-seven
Ordinal
137827th
Binary
100001101001100011
Octal
415143
Hexadecimal
0x21A63
Base64
Ahpj
One's complement
4,294,829,468 (32-bit)
Scientific notation
1.37827 × 10⁵
As a duration
137,827 s = 1 day, 14 hours, 17 minutes, 7 seconds
In other bases
ternary (3) 21000001201
quaternary (4) 201221203
quinary (5) 13402302
senary (6) 2542031
septenary (7) 1112554
nonary (9) 230051
undecimal (11) 94608
duodecimal (12) 67917
tridecimal (13) 4a971
tetradecimal (14) 3832b
pentadecimal (15) 2ac87

As an angle

137,827° = 382 × 360° + 307°
307° ≈ 5.358 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζωκζʹ
Mayan (base 20)
𝋱·𝋤·𝋫·𝋧
Chinese
一十三萬七千八百二十七
Chinese (financial)
壹拾參萬柒仟捌佰貳拾柒
In other modern scripts
Eastern Arabic ١٣٧٨٢٧ Devanagari १३७८२७ Bengali ১৩৭৮২৭ Tamil ௧௩௭௮௨௭ Thai ๑๓๗๘๒๗ Tibetan ༡༣༧༨༢༧ Khmer ១៣៧៨២៧ Lao ໑໓໗໘໒໗ Burmese ၁၃၇၈၂၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 137831.

Unicode codepoint
𡩣
CJK Unified Ideograph-21A63
U+21A63
Other letter (Lo)

UTF-8 encoding: F0 A1 A9 A3 (4 bytes).

Hex color
#021A63
RGB(2, 26, 99)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.99.

Address
0.2.26.99
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.99

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 137,827 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 137827 first appears in π at position 595,629 of the decimal expansion (the 595,629ordinal-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.