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126,984

126,984 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.).

126,984 (one hundred twenty-six thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 11 × 13 × 37. Its proper divisors sum to 256,056, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1F008.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
3,456
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
489,621
Recamán's sequence
a(499,399) = 126,984
Square (n²)
16,124,936,256
Cube (n³)
2,047,608,905,531,904
Divisor count
64
σ(n) — sum of divisors
383,040
φ(n) — Euler's totient
34,560
Sum of prime factors
70

Primality

Prime factorization: 2 3 × 3 × 11 × 13 × 37

Nearest primes: 126,967 (−17) · 126,989 (+5)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 13 · 22 · 24 · 26 · 33 · 37 · 39 · 44 · 52 · 66 · 74 · 78 · 88 · 104 · 111 · 132 · 143 · 148 · 156 · 222 · 264 · 286 · 296 · 312 · 407 · 429 · 444 · 481 · 572 · 814 · 858 · 888 · 962 · 1144 · 1221 · 1443 · 1628 · 1716 · 1924 · 2442 · 2886 · 3256 · 3432 · 3848 · 4884 · 5291 · 5772 · 9768 · 10582 · 11544 · 15873 · 21164 · 31746 · 42328 · 63492 (half) · 126984
Aliquot sum (sum of proper divisors): 256,056
Factor pairs (a × b = 126,984)
1 × 126984
2 × 63492
3 × 42328
4 × 31746
6 × 21164
8 × 15873
11 × 11544
12 × 10582
13 × 9768
22 × 5772
24 × 5291
26 × 4884
33 × 3848
37 × 3432
39 × 3256
44 × 2886
52 × 2442
66 × 1924
74 × 1716
78 × 1628
88 × 1443
104 × 1221
111 × 1144
132 × 962
143 × 888
148 × 858
156 × 814
222 × 572
264 × 481
286 × 444
296 × 429
312 × 407
First multiples
126,984 · 253,968 (double) · 380,952 · 507,936 · 634,920 · 761,904 · 888,888 · 1,015,872 · 1,142,856 · 1,269,840

Sums & aliquot sequence

As consecutive integers: 42,327 + 42,328 + 42,329 11,539 + 11,540 + … + 11,549 9,762 + 9,763 + … + 9,774 7,929 + 7,930 + … + 7,944
Aliquot sequence: 126,984 256,056 400,584 600,936 1,175,064 2,030,376 3,211,224 4,816,896 10,125,084 13,500,140 14,919,412 11,189,566 5,618,474 2,988,694 1,494,350 1,968,970 1,864,310 — unresolved within range

Continued fraction of √n

√126,984 = [356; (2, 1, 6, 1, 5, 14, 2, 1, 2, 28, 7, 2, 7, 28, 2, 1, 2, 14, 5, 1, 6, 1, 2, 712)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-six thousand nine hundred eighty-four
Ordinal
126984th
Binary
11111000000001000
Octal
370010
Hexadecimal
0x1F008
Base64
AfAI
One's complement
4,294,840,311 (32-bit)
Scientific notation
1.26984 × 10⁵
As a duration
126,984 s = 1 day, 11 hours, 16 minutes, 24 seconds
In other bases
ternary (3) 20110012010
quaternary (4) 133000020
quinary (5) 13030414
senary (6) 2415520
septenary (7) 1036134
nonary (9) 213163
undecimal (11) 87450
duodecimal (12) 615a0
tridecimal (13) 45a50
tetradecimal (14) 343c4
pentadecimal (15) 27959

As an angle

126,984° = 352 × 360° + 264°
264° ≈ 4.608 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκϛϡπδʹ
Mayan (base 20)
𝋯·𝋱·𝋩·𝋤
Chinese
一十二萬六千九百八十四
Chinese (financial)
壹拾貳萬陸仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ١٢٦٩٨٤ Devanagari १२६९८४ Bengali ১২৬৯৮৪ Tamil ௧௨௬௯௮௪ Thai ๑๒๖๙๘๔ Tibetan ༡༢༦༩༨༤ Khmer ១២៦៩៨៤ Lao ໑໒໖໙໘໔ Burmese ၁၂၆၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 126984, here are decompositions:

  • 17 + 126967 = 126984
  • 23 + 126961 = 126984
  • 41 + 126943 = 126984
  • 61 + 126923 = 126984
  • 71 + 126913 = 126984
  • 127 + 126857 = 126984
  • 157 + 126827 = 126984
  • 223 + 126761 = 126984

Showing the first eight; more decompositions exist.

Unicode codepoint
🀈
Mahjong Tile Two Of Characters
U+1F008
Other symbol (So)

UTF-8 encoding: F0 9F 80 88 (4 bytes).

Hex color
#01F008
RGB(1, 240, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.240.8.

Address
0.1.240.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.240.8

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 126,984 and was likely granted around 1872.

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

Position in π

The digit sequence 126984 first appears in π at position 214,773 of the decimal expansion (the 214,773ordinal-suffix:rd 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

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