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126,642

126,642 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.).

126,642 (one hundred twenty-six thousand six hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 21,107. Its proper divisors sum to 126,654, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1EEB2.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Pernicious Number Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
576
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
246,621
Square (n²)
16,038,196,164
Cube (n³)
2,031,109,238,601,288
Divisor count
8
σ(n) — sum of divisors
253,296
φ(n) — Euler's totient
42,212
Sum of prime factors
21,112

Primality

Prime factorization: 2 × 3 × 21107

Nearest primes: 126,641 (−1) · 126,653 (+11)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 21107 · 42214 · 63321 (half) · 126642
Aliquot sum (sum of proper divisors): 126,654
Factor pairs (a × b = 126,642)
1 × 126642
2 × 63321
3 × 42214
6 × 21107
First multiples
126,642 · 253,284 (double) · 379,926 · 506,568 · 633,210 · 759,852 · 886,494 · 1,013,136 · 1,139,778 · 1,266,420

Sums & aliquot sequence

As consecutive integers: 42,213 + 42,214 + 42,215 31,659 + 31,660 + 31,661 + 31,662 10,548 + 10,549 + … + 10,559
Aliquot sequence: 126,642 126,654 167,106 167,118 233,778 244,302 270,258 288,078 406,962 514,062 599,778 782,622 971,394 1,073,886 1,321,122 1,644,702 1,644,714 — unresolved within range

Continued fraction of √n

√126,642 = [355; (1, 6, 1, 1, 2, 1, 11, 1, 3, 2, 1, 14, 1, 3, 1, 1, 5, 1, 2, 1, 7, 3, 1, 8, …)]

Representations

In words
one hundred twenty-six thousand six hundred forty-two
Ordinal
126642nd
Binary
11110111010110010
Octal
367262
Hexadecimal
0x1EEB2
Base64
Ae6y
One's complement
4,294,840,653 (32-bit)
Scientific notation
1.26642 × 10⁵
As a duration
126,642 s = 1 day, 11 hours, 10 minutes, 42 seconds
In other bases
ternary (3) 20102201110
quaternary (4) 132322302
quinary (5) 13023032
senary (6) 2414150
septenary (7) 1035135
nonary (9) 212643
undecimal (11) 8716a
duodecimal (12) 61356
tridecimal (13) 45849
tetradecimal (14) 3421c
pentadecimal (15) 277cc

As an angle

126,642° = 351 × 360° + 282°
282° ≈ 4.922 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκϛχμβʹ
Mayan (base 20)
𝋯·𝋰·𝋬·𝋢
Chinese
一十二萬六千六百四十二
Chinese (financial)
壹拾貳萬陸仟陸佰肆拾貳
In other modern scripts
Eastern Arabic ١٢٦٦٤٢ Devanagari १२६६४२ Bengali ১২৬৬৪২ Tamil ௧௨௬௬௪௨ Thai ๑๒๖๖๔๒ Tibetan ༡༢༦༦༤༢ Khmer ១២៦៦៤២ Lao ໑໒໖໖໔໒ Burmese ၁၂၆၆၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 126642, here are decompositions:

  • 11 + 126631 = 126642
  • 29 + 126613 = 126642
  • 31 + 126611 = 126642
  • 41 + 126601 = 126642
  • 59 + 126583 = 126642
  • 101 + 126541 = 126642
  • 149 + 126493 = 126642
  • 151 + 126491 = 126642

Showing the first eight; more decompositions exist.

Unicode codepoint
𞺲
Arabic Mathematical Double-Struck Qaf
U+1EEB2
Other letter (Lo)

UTF-8 encoding: F0 9E BA B2 (4 bytes).

Hex color
#01EEB2
RGB(1, 238, 178)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.238.178.

Address
0.1.238.178
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.238.178

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 126,642 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.