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126,002

126,002 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.).

126,002 (one hundred twenty-six thousand two) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2 × 251². Written other ways, in hexadecimal, 0x1EC32.

Cube-Free Deficient Number Frugal Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
200,621
Recamán's sequence
a(234,160) = 126,002
Square (n²)
15,876,504,004
Cube (n³)
2,000,471,257,512,008
Divisor count
6
σ(n) — sum of divisors
189,759
φ(n) — Euler's totient
62,750
Sum of prime factors
504

Primality

Prime factorization: 2 × 251 2

Nearest primes: 126,001 (−1) · 126,011 (+9)

Divisors & multiples

All divisors (6)
1 · 2 · 251 · 502 · 63001 (half) · 126002
Aliquot sum (sum of proper divisors): 63,757
Factor pairs (a × b = 126,002)
1 × 126002
2 × 63001
251 × 502
First multiples
126,002 · 252,004 (double) · 378,006 · 504,008 · 630,010 · 756,012 · 882,014 · 1,008,016 · 1,134,018 · 1,260,020

Sums & aliquot sequence

As a sum of two squares: 251² + 251²
As consecutive integers: 31,499 + 31,500 + 31,501 + 31,502 377 + 378 + … + 627
Aliquot sequence: 126,002 63,757 723 245 97 1 0 — terminates at zero

Continued fraction of √n

√126,002 = [354; (1, 29, 1, 6, 1, 1, 2, 2, 4, 2, 4, 22, 1, 2, 11, 8, 1, 8, 1, 5, 14, 1, 14, 2, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-six thousand two
Ordinal
126002nd
Binary
11110110000110010
Octal
366062
Hexadecimal
0x1EC32
Base64
Aewy
One's complement
4,294,841,293 (32-bit)
Scientific notation
1.26002 × 10⁵
As a duration
126,002 s = 1 day, 11 hours, 2 seconds
In other bases
ternary (3) 20101211202
quaternary (4) 132300302
quinary (5) 13013002
senary (6) 2411202
septenary (7) 1033232
nonary (9) 211752
undecimal (11) 86738
duodecimal (12) 60b02
tridecimal (13) 45476
tetradecimal (14) 33cc2
pentadecimal (15) 27502

As an angle

126,002° = 350 × 360° + 2°
2° ≈ 0.035 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 · 𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺
Greek (Milesian)
͵ρκϛβʹ
Mayan (base 20)
𝋯·𝋯·𝋠·𝋢
Chinese
一十二萬六千零二
Chinese (financial)
壹拾貳萬陸仟零貳
In other modern scripts
Eastern Arabic ١٢٦٠٠٢ Devanagari १२६००२ Bengali ১২৬০০২ Tamil ௧௨௬௦௦௨ Thai ๑๒๖๐๐๒ Tibetan ༡༢༦༠༠༢ Khmer ១២៦០០២ Lao ໑໒໖໐໐໒ Burmese ၁၂၆၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 126002, here are decompositions:

  • 43 + 125959 = 126002
  • 61 + 125941 = 126002
  • 73 + 125929 = 126002
  • 103 + 125899 = 126002
  • 139 + 125863 = 126002
  • 181 + 125821 = 126002
  • 199 + 125803 = 126002
  • 211 + 125791 = 126002

Showing the first eight; more decompositions exist.

Hex color
#01EC32
RGB(1, 236, 50)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.236.50.

Address
0.1.236.50
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.236.50

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 126,002 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 126002 first appears in π at position 100,002 of the decimal expansion (the 100,002ordinal-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

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