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127,008

127,008 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.).

127,008 (one hundred twenty-seven thousand eight) is an even 6-digit number. It is a composite number with 90 divisors, and factors as 2⁵ × 3⁴ × 7². Its proper divisors sum to 307,503, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F020.

Abundant Number Achilles Number Evil Number Gapful Number Harshad / Niven Pentagonal Pyramidal Powerful Number Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
800,721
Recamán's sequence
a(499,351) = 127,008
Square (n²)
16,131,032,064
Cube (n³)
2,048,770,120,384,512
Divisor count
90
σ(n) — sum of divisors
434,511
φ(n) — Euler's totient
36,288
Sum of prime factors
36

Primality

Prime factorization: 2 5 × 3 4 × 7 2

Nearest primes: 126,989 (−19) · 127,031 (+23)

Divisors & multiples

All divisors (90)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 16 · 18 · 21 · 24 · 27 · 28 · 32 · 36 · 42 · 48 · 49 · 54 · 56 · 63 · 72 · 81 · 84 · 96 · 98 · 108 · 112 · 126 · 144 · 147 · 162 · 168 · 189 · 196 · 216 · 224 · 252 · 288 · 294 · 324 · 336 · 378 · 392 · 432 · 441 · 504 · 567 · 588 · 648 · 672 · 756 · 784 · 864 · 882 · 1008 · 1134 · 1176 · 1296 · 1323 · 1512 · 1568 · 1764 · 2016 · 2268 · 2352 · 2592 · 2646 · 3024 · 3528 · 3969 · 4536 · 4704 · 5292 · 6048 · 7056 · 7938 · 9072 · 10584 · 14112 · 15876 · 18144 · 21168 · 31752 · 42336 · 63504 (half) · 127008
Aliquot sum (sum of proper divisors): 307,503
Factor pairs (a × b = 127,008)
1 × 127008
2 × 63504
3 × 42336
4 × 31752
6 × 21168
7 × 18144
8 × 15876
9 × 14112
12 × 10584
14 × 9072
16 × 7938
18 × 7056
21 × 6048
24 × 5292
27 × 4704
28 × 4536
32 × 3969
36 × 3528
42 × 3024
48 × 2646
49 × 2592
54 × 2352
56 × 2268
63 × 2016
72 × 1764
81 × 1568
84 × 1512
96 × 1323
98 × 1296
108 × 1176
112 × 1134
126 × 1008
144 × 882
147 × 864
162 × 784
168 × 756
189 × 672
196 × 648
216 × 588
224 × 567
252 × 504
288 × 441
294 × 432
324 × 392
336 × 378
First multiples
127,008 · 254,016 (double) · 381,024 · 508,032 · 635,040 · 762,048 · 889,056 · 1,016,064 · 1,143,072 · 1,270,080

Sums & aliquot sequence

As a sum of two squares: 252² + 252²
As consecutive integers: 42,335 + 42,336 + 42,337 18,141 + 18,142 + … + 18,147 14,108 + 14,109 + … + 14,116 6,038 + 6,039 + … + 6,058
Aliquot sequence: 127,008 307,503 213,457 2,003 1 0 — terminates at zero

Continued fraction of √n

√127,008 = [356; (2, 1, 1, 1, 1, 1, 2, 712)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-seven thousand eight
Ordinal
127008th
Binary
11111000000100000
Octal
370040
Hexadecimal
0x1F020
Base64
AfAg
One's complement
4,294,840,287 (32-bit)
Scientific notation
1.27008 × 10⁵
As a duration
127,008 s = 1 day, 11 hours, 16 minutes, 48 seconds
In other bases
ternary (3) 20110020000
quaternary (4) 133000200
quinary (5) 13031013
senary (6) 2420000
septenary (7) 1036200
nonary (9) 213200
undecimal (11) 87472
duodecimal (12) 61600
tridecimal (13) 45a6b
tetradecimal (14) 34400
pentadecimal (15) 27973

As an angle

127,008° = 352 × 360° + 288°
288° ≈ 5.027 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκζηʹ
Mayan (base 20)
𝋯·𝋱·𝋪·𝋨
Chinese
一十二萬七千零八
Chinese (financial)
壹拾貳萬柒仟零捌
In other modern scripts
Eastern Arabic ١٢٧٠٠٨ Devanagari १२७००८ Bengali ১২৭০০৮ Tamil ௧௨௭௦௦௮ Thai ๑๒๗๐๐๘ Tibetan ༡༢༧༠༠༨ Khmer ១២៧០០៨ Lao ໑໒໗໐໐໘ Burmese ၁၂၇၀၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 127008, here are decompositions:

  • 19 + 126989 = 127008
  • 41 + 126967 = 127008
  • 47 + 126961 = 127008
  • 59 + 126949 = 127008
  • 149 + 126859 = 127008
  • 151 + 126857 = 127008
  • 157 + 126851 = 127008
  • 181 + 126827 = 127008

Showing the first eight; more decompositions exist.

Unicode codepoint
🀠
Mahjong Tile Eight Of Circles
U+1F020
Other symbol (So)

UTF-8 encoding: F0 9F 80 A0 (4 bytes).

Hex color
#01F020
RGB(1, 240, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.240.32.

Address
0.1.240.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.240.32

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 127,008 and was likely granted around 1872.

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°.