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126,001

126,001 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.).

126,001 (one hundred twenty-six thousand one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x1EC31.

Arithmetic Number Cube-Free Deficient Number Emirp Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
100,621
Recamán's sequence
a(234,162) = 126,001
Square (n²)
15,876,252,001
Cube (n³)
2,000,423,628,378,001
Divisor count
2
σ(n) — sum of divisors
126,002
φ(n) — Euler's totient
126,000

Primality

126,001 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 126001
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 126,001)
1 × 126001
First multiples
126,001 · 252,002 (double) · 378,003 · 504,004 · 630,005 · 756,006 · 882,007 · 1,008,008 · 1,134,009 · 1,260,010

Sums & aliquot sequence

As a sum of two squares: 145² + 324²
As consecutive integers: 63,000 + 63,001

Continued fraction of √n

√126,001 = [354; (1, 28, 1, 1, 2, 1, 1, 4, 2, 1, 7, 2, 8, 11, 1, 10, 1, 2, 1, 1, 2, 1, 1, 2, …)]

Representations

In words
one hundred twenty-six thousand one
Ordinal
126001st
Binary
11110110000110001
Octal
366061
Hexadecimal
0x1EC31
Base64
Aewx
One's complement
4,294,841,294 (32-bit)
Scientific notation
1.26001 × 10⁵
As a duration
126,001 s = 1 day, 11 hours, 1 second
In other bases
ternary (3) 20101211201
quaternary (4) 132300301
quinary (5) 13013001
senary (6) 2411201
septenary (7) 1033231
nonary (9) 211751
undecimal (11) 86737
duodecimal (12) 60b01
tridecimal (13) 45475
tetradecimal (14) 33cc1
pentadecimal (15) 27501

As an angle

126,001° = 350 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 · 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓏺
Greek (Milesian)
͵ρκϛαʹ
Mayan (base 20)
𝋯·𝋯·𝋠·𝋡
Chinese
一十二萬六千零一
Chinese (financial)
壹拾貳萬陸仟零壹
In other modern scripts
Eastern Arabic ١٢٦٠٠١ Devanagari १२६००१ Bengali ১২৬০০১ Tamil ௧௨௬௦௦௧ Thai ๑๒๖๐๐๑ Tibetan ༡༢༦༠༠༡ Khmer ១២៦០០១ Lao ໑໒໖໐໐໑ Burmese ၁၂၆၀၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#01EC31
RGB(1, 236, 49)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.236.49.

Address
0.1.236.49
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.236.49

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 126,001 and was likely granted around 1871.

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

Position in π

The digit sequence 126001 first appears in π at position 190,492 of the decimal expansion (the 190,492ordinal-suffix:nd 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

  • 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.