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126,000

126,000 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.).

126,000 (one hundred twenty-six thousand) is an even 6-digit number. It is a composite number with 120 divisors, and factors as 2⁴ × 3² × 5³ × 7. Its proper divisors sum to 376,944, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1EC30.

Abundant Number Evil Number Gapful Number Harshad / Niven Highly Abundant Practical Number Recamán's Sequence Refactorable Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
621
Recamán's sequence
a(234,164) = 126,000
Square (n²)
15,876,000,000
Cube (n³)
2,000,376,000,000,000
Divisor count
120
σ(n) — sum of divisors
502,944
φ(n) — Euler's totient
28,800
Sum of prime factors
36

Primality

Prime factorization: 2 4 × 3 2 × 5 3 × 7

Nearest primes: 125,963 (−37) · 126,001 (+1)

Divisors & multiples

All divisors (120)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 12 · 14 · 15 · 16 · 18 · 20 · 21 · 24 · 25 · 28 · 30 · 35 · 36 · 40 · 42 · 45 · 48 · 50 · 56 · 60 · 63 · 70 · 72 · 75 · 80 · 84 · 90 · 100 · 105 · 112 · 120 · 125 · 126 · 140 · 144 · 150 · 168 · 175 · 180 · 200 · 210 · 225 · 240 · 250 · 252 · 280 · 300 · 315 · 336 · 350 · 360 · 375 · 400 · 420 · 450 · 500 · 504 · 525 · 560 · 600 · 630 · 700 · 720 · 750 · 840 · 875 · 900 · 1000 · 1008 · 1050 · 1125 · 1200 · 1260 · 1400 · 1500 · 1575 · 1680 · 1750 · 1800 · 2000 · 2100 · 2250 · 2520 · 2625 · 2800 · 3000 · 3150 · 3500 · 3600 · 4200 · 4500 · 5040 · 5250 · 6000 · 6300 · 7000 · 7875 · 8400 · 9000 · 10500 · 12600 · 14000 · 15750 · 18000 · 21000 · 25200 · 31500 · 42000 · 63000 (half) · 126000
Aliquot sum (sum of proper divisors): 376,944
Factor pairs (a × b = 126,000)
1 × 126000
2 × 63000
3 × 42000
4 × 31500
5 × 25200
6 × 21000
7 × 18000
8 × 15750
9 × 14000
10 × 12600
12 × 10500
14 × 9000
15 × 8400
16 × 7875
18 × 7000
20 × 6300
21 × 6000
24 × 5250
25 × 5040
28 × 4500
30 × 4200
35 × 3600
36 × 3500
40 × 3150
42 × 3000
45 × 2800
48 × 2625
50 × 2520
56 × 2250
60 × 2100
63 × 2000
70 × 1800
72 × 1750
75 × 1680
80 × 1575
84 × 1500
90 × 1400
100 × 1260
105 × 1200
112 × 1125
120 × 1050
125 × 1008
126 × 1000
140 × 900
144 × 875
150 × 840
168 × 750
175 × 720
180 × 700
200 × 630
210 × 600
225 × 560
240 × 525
250 × 504
252 × 500
280 × 450
300 × 420
315 × 400
336 × 375
350 × 360
First multiples
126,000 · 252,000 (double) · 378,000 · 504,000 · 630,000 · 756,000 · 882,000 · 1,008,000 · 1,134,000 · 1,260,000

Sums & aliquot sequence

As a sum of two cubes: 10³ + 50³
As consecutive integers: 41,999 + 42,000 + 42,001 25,198 + 25,199 + 25,200 + 25,201 + 25,202 17,997 + 17,998 + … + 18,003 13,996 + 13,997 + … + 14,004
Aliquot sequence: 126,000 376,944 596,952 1,019,988 1,649,952 3,332,844 5,291,772 7,231,620 14,859,708 20,552,004 36,122,796 55,187,696 56,836,384 67,280,672 75,603,328 76,374,632 71,766,268 — unresolved within range

Continued fraction of √n

√126,000 = [354; (1, 27, 2, 1, 1, 27, 1, 3, 1, 27, 1, 1, 2, 27, 1, 708)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-six thousand
Ordinal
126000th
Binary
11110110000110000
Octal
366060
Hexadecimal
0x1EC30
Base64
Aeww
One's complement
4,294,841,295 (32-bit)
Scientific notation
1.26 × 10⁵
As a duration
126,000 s = 1 day, 11 hours
In other bases
ternary (3) 20101211200
quaternary (4) 132300300
quinary (5) 13013000
senary (6) 2411200
septenary (7) 1033230
nonary (9) 211750
undecimal (11) 86736
duodecimal (12) 60b00
tridecimal (13) 45474
tetradecimal (14) 33cc0
pentadecimal (15) 27500

As an angle

126,000° = 350 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 · ·
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian)
͵ρκϛ
Mayan (base 20)
𝋯·𝋯·𝋠·𝋠
Chinese
一十二萬六千
Chinese (financial)
壹拾貳萬陸仟
In other modern scripts
Eastern Arabic ١٢٦٠٠٠ Devanagari १२६००० Bengali ১২৬০০০ Tamil ௧௨௬௦௦௦ Thai ๑๒๖๐๐๐ Tibetan ༡༢༦༠༠༠ Khmer ១២៦០០០ Lao ໑໒໖໐໐໐ Burmese ၁၂၆၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 126000, here are decompositions:

  • 37 + 125963 = 126000
  • 41 + 125959 = 126000
  • 59 + 125941 = 126000
  • 67 + 125933 = 126000
  • 71 + 125929 = 126000
  • 73 + 125927 = 126000
  • 79 + 125921 = 126000
  • 101 + 125899 = 126000

Showing the first eight; more decompositions exist.

Hex color
#01EC30
RGB(1, 236, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.236.48.

Address
0.1.236.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.236.48

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 126,000 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

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