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126,788

126,788 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.).

126,788 (one hundred twenty-six thousand seven hundred eighty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 29 × 1,093. Written other ways, in hexadecimal, 0x1EF44.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
32
Digit product
5,376
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
887,621
Recamán's sequence
a(499,791) = 126,788
Square (n²)
16,075,196,944
Cube (n³)
2,038,142,070,135,872
Divisor count
12
σ(n) — sum of divisors
229,740
φ(n) — Euler's totient
61,152
Sum of prime factors
1,126

Primality

Prime factorization: 2 2 × 29 × 1093

Nearest primes: 126,781 (−7) · 126,823 (+35)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 29 · 58 · 116 · 1093 · 2186 · 4372 · 31697 · 63394 (half) · 126788
Aliquot sum (sum of proper divisors): 102,952
Factor pairs (a × b = 126,788)
1 × 126788
2 × 63394
4 × 31697
29 × 4372
58 × 2186
116 × 1093
First multiples
126,788 · 253,576 (double) · 380,364 · 507,152 · 633,940 · 760,728 · 887,516 · 1,014,304 · 1,141,092 · 1,267,880

Sums & aliquot sequence

As a sum of two squares: 112² + 338² = 152² + 322²
As consecutive integers: 15,845 + 15,846 + … + 15,852 4,358 + 4,359 + … + 4,386 431 + 432 + … + 662
Aliquot sequence: 126,788 102,952 101,708 80,404 60,310 51,866 25,936 24,346 19,430 17,290 23,030 26,218 13,112 13,888 18,624 31,160 44,440 — unresolved within range

Continued fraction of √n

√126,788 = [356; (13, 1, 2, 3, 1, 3, 2, 3, 1, 54, 178, 54, 1, 3, 2, 3, 1, 3, 2, 1, 13, 712)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-six thousand seven hundred eighty-eight
Ordinal
126788th
Binary
11110111101000100
Octal
367504
Hexadecimal
0x1EF44
Base64
Ae9E
One's complement
4,294,840,507 (32-bit)
Scientific notation
1.26788 × 10⁵
As a duration
126,788 s = 1 day, 11 hours, 13 minutes, 8 seconds
In other bases
ternary (3) 20102220212
quaternary (4) 132331010
quinary (5) 13024123
senary (6) 2414552
septenary (7) 1035434
nonary (9) 212825
undecimal (11) 87292
duodecimal (12) 61458
tridecimal (13) 4592c
tetradecimal (14) 342c4
pentadecimal (15) 27878

As an angle

126,788° = 352 × 360° + 68°
68° ≈ 1.187 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκϛψπηʹ
Mayan (base 20)
𝋯·𝋰·𝋳·𝋨
Chinese
一十二萬六千七百八十八
Chinese (financial)
壹拾貳萬陸仟柒佰捌拾捌
In other modern scripts
Eastern Arabic ١٢٦٧٨٨ Devanagari १२६७८८ Bengali ১২৬৭৮৮ Tamil ௧௨௬௭௮௮ Thai ๑๒๖๗๘๘ Tibetan ༡༢༦༧༨༨ Khmer ១២៦៧៨៨ Lao ໑໒໖໗໘໘ Burmese ၁၂၆၇၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 126788, here are decompositions:

  • 7 + 126781 = 126788
  • 31 + 126757 = 126788
  • 37 + 126751 = 126788
  • 97 + 126691 = 126788
  • 157 + 126631 = 126788
  • 241 + 126547 = 126788
  • 271 + 126517 = 126788
  • 307 + 126481 = 126788

Showing the first eight; more decompositions exist.

Hex color
#01EF44
RGB(1, 239, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.239.68.

Address
0.1.239.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.239.68

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 126,788 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.