number.wiki
Live analysis

137,126

137,126 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.).

137,126 (one hundred thirty-seven thousand one hundred twenty-six) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 11 × 23 × 271. Written other ways, in hexadecimal, 0x217A6.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
252
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
621,731
Square (n²)
18,803,539,876
Cube (n³)
2,578,454,209,036,376
Divisor count
16
σ(n) — sum of divisors
235,008
φ(n) — Euler's totient
59,400
Sum of prime factors
307

Primality

Prime factorization: 2 × 11 × 23 × 271

Nearest primes: 137,119 (−7) · 137,131 (+5)

Divisors & multiples

All divisors (16)
1 · 2 · 11 · 22 · 23 · 46 · 253 · 271 · 506 · 542 · 2981 · 5962 · 6233 · 12466 · 68563 (half) · 137126
Aliquot sum (sum of proper divisors): 97,882
Factor pairs (a × b = 137,126)
1 × 137126
2 × 68563
11 × 12466
22 × 6233
23 × 5962
46 × 2981
253 × 542
271 × 506
First multiples
137,126 · 274,252 (double) · 411,378 · 548,504 · 685,630 · 822,756 · 959,882 · 1,097,008 · 1,234,134 · 1,371,260

Sums & aliquot sequence

As consecutive integers: 34,280 + 34,281 + 34,282 + 34,283 12,461 + 12,462 + … + 12,471 5,951 + 5,952 + … + 5,973 3,095 + 3,096 + … + 3,138
Aliquot sequence: 137,126 97,882 50,618 25,312 32,144 42,070 44,618 31,894 17,354 8,680 14,360 18,040 27,320 34,240 48,056 42,064 47,216 — unresolved within range

Continued fraction of √n

√137,126 = [370; (3, 3, 1, 1, 1, 2, 6, 2, 2, 2, 6, 2, 1, 1, 1, 3, 3, 740)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand one hundred twenty-six
Ordinal
137126th
Binary
100001011110100110
Octal
413646
Hexadecimal
0x217A6
Base64
Ahem
One's complement
4,294,830,169 (32-bit)
Scientific notation
1.37126 × 10⁵
As a duration
137,126 s = 1 day, 14 hours, 5 minutes, 26 seconds
In other bases
ternary (3) 20222002202
quaternary (4) 201132212
quinary (5) 13342001
senary (6) 2534502
septenary (7) 1110533
nonary (9) 228082
undecimal (11) 94030
duodecimal (12) 67432
tridecimal (13) 4a552
tetradecimal (14) 37d8a
pentadecimal (15) 2a96b

As an angle

137,126° = 380 × 360° + 326°
326° ≈ 5.69 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζρκϛʹ
Mayan (base 20)
𝋱·𝋢·𝋰·𝋦
Chinese
一十三萬七千一百二十六
Chinese (financial)
壹拾參萬柒仟壹佰貳拾陸
In other modern scripts
Eastern Arabic ١٣٧١٢٦ Devanagari १३७१२६ Bengali ১৩৭১২৬ Tamil ௧௩௭௧௨௬ Thai ๑๓๗๑๒๖ Tibetan ༡༣༧༡༢༦ Khmer ១៣៧១២៦ Lao ໑໓໗໑໒໖ Burmese ၁၃၇၁၂၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137126, here are decompositions:

  • 7 + 137119 = 137126
  • 37 + 137089 = 137126
  • 97 + 137029 = 137126
  • 127 + 136999 = 137126
  • 139 + 136987 = 137126
  • 163 + 136963 = 137126
  • 229 + 136897 = 137126
  • 277 + 136849 = 137126

Showing the first eight; more decompositions exist.

Unicode codepoint
𡞦
CJK Unified Ideograph-217A6
U+217A6
Other letter (Lo)

UTF-8 encoding: F0 A1 9E A6 (4 bytes).

Hex color
#0217A6
RGB(2, 23, 166)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.23.166.

Address
0.2.23.166
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.23.166

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 137,126 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

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