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126,080

126,080 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.).

126,080 (one hundred twenty-six thousand eighty) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 5 × 197. Its proper divisors sum to 176,860, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1EC80.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
80,621
Recamán's sequence
a(234,004) = 126,080
Square (n²)
15,896,166,400
Cube (n³)
2,004,188,659,712,000
Divisor count
32
σ(n) — sum of divisors
302,940
φ(n) — Euler's totient
50,176
Sum of prime factors
216

Primality

Prime factorization: 2 7 × 5 × 197

Nearest primes: 126,079 (−1) · 126,097 (+17)

Divisors & multiples

All divisors (32)
1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 32 · 40 · 64 · 80 · 128 · 160 · 197 · 320 · 394 · 640 · 788 · 985 · 1576 · 1970 · 3152 · 3940 · 6304 · 7880 · 12608 · 15760 · 25216 · 31520 · 63040 (half) · 126080
Aliquot sum (sum of proper divisors): 176,860
Factor pairs (a × b = 126,080)
1 × 126080
2 × 63040
4 × 31520
5 × 25216
8 × 15760
10 × 12608
16 × 7880
20 × 6304
32 × 3940
40 × 3152
64 × 1970
80 × 1576
128 × 985
160 × 788
197 × 640
320 × 394
First multiples
126,080 · 252,160 (double) · 378,240 · 504,320 · 630,400 · 756,480 · 882,560 · 1,008,640 · 1,134,720 · 1,260,800

Sums & aliquot sequence

As a sum of two squares: 88² + 344² = 136² + 328²
As consecutive integers: 25,214 + 25,215 + 25,216 + 25,217 + 25,218 542 + 543 + … + 738 365 + 366 + … + 620
Aliquot sequence: 126,080 176,860 206,180 270,352 263,964 351,980 387,220 469,580 537,412 403,066 233,414 116,710 112,682 58,294 29,150 31,114 16,694 — unresolved within range

Continued fraction of √n

√126,080 = [355; (12, 1, 10, 5, 1, 3, 2, 43, 1, 16, 2, 1, 10, 2, 2, 1, 3, 177, 3, 1, 2, 2, 10, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-six thousand eighty
Ordinal
126080th
Binary
11110110010000000
Octal
366200
Hexadecimal
0x1EC80
Base64
AeyA
One's complement
4,294,841,215 (32-bit)
Scientific notation
1.2608 × 10⁵
As a duration
126,080 s = 1 day, 11 hours, 1 minute, 20 seconds
In other bases
ternary (3) 20101221122
quaternary (4) 132302000
quinary (5) 13013310
senary (6) 2411412
septenary (7) 1033403
nonary (9) 211848
undecimal (11) 867a9
duodecimal (12) 60b68
tridecimal (13) 45506
tetradecimal (14) 33d3a
pentadecimal (15) 27555

As an angle

126,080° = 350 × 360° + 80°
80° ≈ 1.396 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρκϛπʹ
Mayan (base 20)
𝋯·𝋯·𝋤·𝋠
Chinese
一十二萬六千零八十
Chinese (financial)
壹拾貳萬陸仟零捌拾
In other modern scripts
Eastern Arabic ١٢٦٠٨٠ Devanagari १२६०८० Bengali ১২৬০৮০ Tamil ௧௨௬௦௮௦ Thai ๑๒๖๐๘๐ Tibetan ༡༢༦༠༨༠ Khmer ១២៦០៨០ Lao ໑໒໖໐໘໐ Burmese ၁၂၆၀၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 126080, here are decompositions:

  • 13 + 126067 = 126080
  • 43 + 126037 = 126080
  • 61 + 126019 = 126080
  • 67 + 126013 = 126080
  • 79 + 126001 = 126080
  • 139 + 125941 = 126080
  • 151 + 125929 = 126080
  • 181 + 125899 = 126080

Showing the first eight; more decompositions exist.

Unicode codepoint
𞲀
Indic Siyaq Number Seventy
U+1EC80
Other number (No)

UTF-8 encoding: F0 9E B2 80 (4 bytes).

Hex color
#01EC80
RGB(1, 236, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.236.128.

Address
0.1.236.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.236.128

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 126,080 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 126080 first appears in π at position 144,505 of the decimal expansion (the 144,505ordinal-suffix:th 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.