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137,066

137,066 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.).

137,066 (one hundred thirty-seven thousand sixty-six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 19 × 3,607. Written other ways, in hexadecimal, 0x2176A.

Arithmetic Number Cube-Free Deficient Number Odious Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
660,731
Square (n²)
18,787,088,356
Cube (n³)
2,575,071,052,603,496
Divisor count
8
σ(n) — sum of divisors
216,480
φ(n) — Euler's totient
64,908
Sum of prime factors
3,628

Primality

Prime factorization: 2 × 19 × 3607

Nearest primes: 137,029 (−37) · 137,077 (+11)

Divisors & multiples

All divisors (8)
1 · 2 · 19 · 38 · 3607 · 7214 · 68533 (half) · 137066
Aliquot sum (sum of proper divisors): 79,414
Factor pairs (a × b = 137,066)
1 × 137066
2 × 68533
19 × 7214
38 × 3607
First multiples
137,066 · 274,132 (double) · 411,198 · 548,264 · 685,330 · 822,396 · 959,462 · 1,096,528 · 1,233,594 · 1,370,660

Sums & aliquot sequence

As consecutive integers: 34,265 + 34,266 + 34,267 + 34,268 7,205 + 7,206 + … + 7,223 1,766 + 1,767 + … + 1,841
Aliquot sequence: 137,066 79,414 41,906 23,758 16,994 9,466 4,736 4,954 2,480 3,472 4,464 8,432 9,424 10,416 21,328 22,320 55,056 — unresolved within range

Continued fraction of √n

√137,066 = [370; (4, 2, 5, 1, 1, 1, 1, 1, 73, 2, 2, 1, 2, 1, 1, 1, 1, 5, 1, 1, 1, 28, 1, 31, …)]

Representations

In words
one hundred thirty-seven thousand sixty-six
Ordinal
137066th
Binary
100001011101101010
Octal
413552
Hexadecimal
0x2176A
Base64
Ahdq
One's complement
4,294,830,229 (32-bit)
Scientific notation
1.37066 × 10⁵
As a duration
137,066 s = 1 day, 14 hours, 4 minutes, 26 seconds
In other bases
ternary (3) 20222000112
quaternary (4) 201131222
quinary (5) 13341231
senary (6) 2534322
septenary (7) 1110416
nonary (9) 228015
undecimal (11) 93a86
duodecimal (12) 673a2
tridecimal (13) 4a507
tetradecimal (14) 37d46
pentadecimal (15) 2a92b

As an angle

137,066° = 380 × 360° + 266°
266° ≈ 4.643 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζξϛʹ
Mayan (base 20)
𝋱·𝋢·𝋭·𝋦
Chinese
一十三萬七千零六十六
Chinese (financial)
壹拾參萬柒仟零陸拾陸
In other modern scripts
Eastern Arabic ١٣٧٠٦٦ Devanagari १३७०६६ Bengali ১৩৭০৬৬ Tamil ௧௩௭௦௬௬ Thai ๑๓๗๐๖๖ Tibetan ༡༣༧༠༦༦ Khmer ១៣៧០៦៦ Lao ໑໓໗໐໖໖ Burmese ၁၃၇၀၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137066, here are decompositions:

  • 37 + 137029 = 137066
  • 67 + 136999 = 137066
  • 73 + 136993 = 137066
  • 79 + 136987 = 137066
  • 103 + 136963 = 137066
  • 313 + 136753 = 137066
  • 373 + 136693 = 137066
  • 409 + 136657 = 137066

Showing the first eight; more decompositions exist.

Unicode codepoint
𡝪
CJK Unified Ideograph-2176A
U+2176A
Other letter (Lo)

UTF-8 encoding: F0 A1 9D AA (4 bytes).

Hex color
#02176A
RGB(2, 23, 106)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.106.

Address
0.2.23.106
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.106

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 137,066 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 137066 first appears in π at position 890,535 of the decimal expansion (the 890,535ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.