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126,013

126,013 is a prime, odd.

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.).

126,013 (one hundred twenty-six thousand thirteen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1EC3D.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
310,621
Recamán's sequence
a(234,138) = 126,013
Square (n²)
15,879,276,169
Cube (n³)
2,000,995,227,884,197
Divisor count
2
σ(n) — sum of divisors
126,014
φ(n) — Euler's totient
126,012

Primality

126,013 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 126013
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 126,013)
1 × 126013
First multiples
126,013 · 252,026 (double) · 378,039 · 504,052 · 630,065 · 756,078 · 882,091 · 1,008,104 · 1,134,117 · 1,260,130

Sums & aliquot sequence

As a sum of two squares: 222² + 277²
As consecutive integers: 63,006 + 63,007

Continued fraction of √n

√126,013 = [354; (1, 58, 6, 19, 1, 1, 4, 26, 13, 1, 1, 1, 1, 2, 17, 1, 4, 1, 1, 3, 1, 4, 3, 1, …)]

Representations

In words
one hundred twenty-six thousand thirteen
Ordinal
126013th
Binary
11110110000111101
Octal
366075
Hexadecimal
0x1EC3D
Base64
Aew9
One's complement
4,294,841,282 (32-bit)
Scientific notation
1.26013 × 10⁵
As a duration
126,013 s = 1 day, 11 hours, 13 seconds
In other bases
ternary (3) 20101212011
quaternary (4) 132300331
quinary (5) 13013023
senary (6) 2411221
septenary (7) 1033246
nonary (9) 211764
undecimal (11) 86748
duodecimal (12) 60b11
tridecimal (13) 45484
tetradecimal (14) 33ccd
pentadecimal (15) 2750d

As an angle

126,013° = 350 × 360° + 13°
13° ≈ 0.227 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 · 𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓏺𓏺𓏺
Greek (Milesian)
͵ρκϛιγʹ
Mayan (base 20)
𝋯·𝋯·𝋠·𝋭
Chinese
一十二萬六千零一十三
Chinese (financial)
壹拾貳萬陸仟零壹拾參
In other modern scripts
Eastern Arabic ١٢٦٠١٣ Devanagari १२६०१३ Bengali ১২৬০১৩ Tamil ௧௨௬௦௧௩ Thai ๑๒๖๐๑๓ Tibetan ༡༢༦༠༡༣ Khmer ១២៦០១៣ Lao ໑໒໖໐໑໓ Burmese ၁၂၆၀၁၃

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 126011, sexy with 126019.

Hex color
#01EC3D
RGB(1, 236, 61)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.236.61.

Address
0.1.236.61
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.236.61

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 126,013 and was likely granted around 1871.

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

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.