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137,026

137,026 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.).

137,026 (one hundred thirty-seven thousand twenty-six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 131 × 523. It is the 523rd triangular number. Written other ways, in hexadecimal, 0x21742.

Arithmetic Number Cube-Free Deficient Number Hexagonal Odious Number Pernicious Number Sphenic Number Squarefree Triangular

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
620,731
Square (n²)
18,776,124,676
Cube (n³)
2,572,817,259,853,576
Divisor count
8
σ(n) — sum of divisors
207,504
φ(n) — Euler's totient
67,860
Sum of prime factors
656

Primality

Prime factorization: 2 × 131 × 523

Nearest primes: 136,999 (−27) · 137,029 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 131 · 262 · 523 · 1046 · 68513 (half) · 137026
Aliquot sum (sum of proper divisors): 70,478
Factor pairs (a × b = 137,026)
1 × 137026
2 × 68513
131 × 1046
262 × 523
First multiples
137,026 · 274,052 (double) · 411,078 · 548,104 · 685,130 · 822,156 · 959,182 · 1,096,208 · 1,233,234 · 1,370,260

Sums & aliquot sequence

As consecutive integers: 34,255 + 34,256 + 34,257 + 34,258 981 + 982 + … + 1,111 1 + 2 + … + 523
Aliquot sequence: 137,026 70,478 36,442 29,798 15,994 10,214 5,110 5,546 3,094 2,954 2,134 1,394 874 566 286 218 112 — unresolved within range

Continued fraction of √n

√137,026 = [370; (5, 1, 6, 1, 23, 1, 4, 6, 1, 5, 1, 1, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 4, …)]

Representations

In words
one hundred thirty-seven thousand twenty-six
Ordinal
137026th
Binary
100001011101000010
Octal
413502
Hexadecimal
0x21742
Base64
AhdC
One's complement
4,294,830,269 (32-bit)
Scientific notation
1.37026 × 10⁵
As a duration
137,026 s = 1 day, 14 hours, 3 minutes, 46 seconds
In other bases
ternary (3) 20221222001
quaternary (4) 201131002
quinary (5) 13341101
senary (6) 2534214
septenary (7) 1110331
nonary (9) 227861
undecimal (11) 93a4a
duodecimal (12) 6736a
tridecimal (13) 4a4a6
tetradecimal (14) 37d18
pentadecimal (15) 2a901

As an angle

137,026° = 380 × 360° + 226°
226° ≈ 3.944 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζκϛʹ
Mayan (base 20)
𝋱·𝋢·𝋫·𝋦
Chinese
一十三萬七千零二十六
Chinese (financial)
壹拾參萬柒仟零貳拾陸
In other modern scripts
Eastern Arabic ١٣٧٠٢٦ Devanagari १३७०२६ Bengali ১৩৭০২৬ Tamil ௧௩௭௦௨௬ Thai ๑๓๗๐๒๖ Tibetan ༡༣༧༠༢༦ Khmer ១៣៧០២៦ Lao ໑໓໗໐໒໖ Burmese ၁၃၇၀၂၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137026, here are decompositions:

  • 47 + 136979 = 137026
  • 53 + 136973 = 137026
  • 83 + 136943 = 137026
  • 137 + 136889 = 137026
  • 167 + 136859 = 137026
  • 257 + 136769 = 137026
  • 293 + 136733 = 137026
  • 317 + 136709 = 137026

Showing the first eight; more decompositions exist.

Unicode codepoint
𡝂
CJK Unified Ideograph-21742
U+21742
Other letter (Lo)

UTF-8 encoding: F0 A1 9D 82 (4 bytes).

Hex color
#021742
RGB(2, 23, 66)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.66.

Address
0.2.23.66
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.66

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 137,026 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 137026 first appears in π at position 127,036 of the decimal expansion (the 127,036ordinal-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

  • Triangular numbers — 1, 3, 6, 10, 15 … the counting numbers stacked into triangles, and Gauss's famous shortcut for summing them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.