number.wiki
Live analysis

137,836

137,836 is a composite number, even.

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.).

137,836 (one hundred thirty-seven thousand eight hundred thirty-six) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 17 × 2,027. Written other ways, in hexadecimal, 0x21A6C.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
3,024
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
638,731
Recamán's sequence
a(493,155) = 137,836
Square (n²)
18,998,762,896
Cube (n³)
2,618,713,482,533,056
Divisor count
12
σ(n) — sum of divisors
255,528
φ(n) — Euler's totient
64,832
Sum of prime factors
2,048

Primality

Prime factorization: 2 2 × 17 × 2027

Nearest primes: 137,831 (−5) · 137,849 (+13)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 17 · 34 · 68 · 2027 · 4054 · 8108 · 34459 · 68918 (half) · 137836
Aliquot sum (sum of proper divisors): 117,692
Factor pairs (a × b = 137,836)
1 × 137836
2 × 68918
4 × 34459
17 × 8108
34 × 4054
68 × 2027
First multiples
137,836 · 275,672 (double) · 413,508 · 551,344 · 689,180 · 827,016 · 964,852 · 1,102,688 · 1,240,524 · 1,378,360

Sums & aliquot sequence

As consecutive integers: 17,226 + 17,227 + … + 17,233 8,100 + 8,101 + … + 8,116 946 + 947 + … + 1,081
Aliquot sequence: 137,836 117,692 88,276 71,744 80,656 77,847 51,945 31,191 11,673 5,201 751 1 0 — terminates at zero

Continued fraction of √n

√137,836 = [371; (3, 1, 4, 5, 1, 42, 1, 5, 4, 1, 3, 742)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand eight hundred thirty-six
Ordinal
137836th
Binary
100001101001101100
Octal
415154
Hexadecimal
0x21A6C
Base64
Ahps
One's complement
4,294,829,459 (32-bit)
Scientific notation
1.37836 × 10⁵
As a duration
137,836 s = 1 day, 14 hours, 17 minutes, 16 seconds
In other bases
ternary (3) 21000002001
quaternary (4) 201221230
quinary (5) 13402321
senary (6) 2542044
septenary (7) 1112566
nonary (9) 230061
undecimal (11) 94616
duodecimal (12) 67924
tridecimal (13) 4a97a
tetradecimal (14) 38336
pentadecimal (15) 2ac91

As an angle

137,836° = 382 × 360° + 316°
316° ≈ 5.515 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζωλϛʹ
Mayan (base 20)
𝋱·𝋤·𝋫·𝋰
Chinese
一十三萬七千八百三十六
Chinese (financial)
壹拾參萬柒仟捌佰參拾陸
In other modern scripts
Eastern Arabic ١٣٧٨٣٦ Devanagari १३७८३६ Bengali ১৩৭৮৩৬ Tamil ௧௩௭௮௩௬ Thai ๑๓๗๘๓๖ Tibetan ༡༣༧༨༣༦ Khmer ១៣៧៨៣៦ Lao ໑໓໗໘໓໖ Burmese ၁၃၇၈၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137836, here are decompositions:

  • 5 + 137831 = 137836
  • 59 + 137777 = 137836
  • 113 + 137723 = 137836
  • 137 + 137699 = 137836
  • 197 + 137639 = 137836
  • 239 + 137597 = 137836
  • 263 + 137573 = 137836
  • 269 + 137567 = 137836

Showing the first eight; more decompositions exist.

Unicode codepoint
𡩬
CJK Unified Ideograph-21A6C
U+21A6C
Other letter (Lo)

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

Hex color
#021A6C
RGB(2, 26, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.108.

Address
0.2.26.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.108

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 137,836 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 137836 first appears in π at position 826,386 of the decimal expansion (the 826,386ordinal-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