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126,084

126,084 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.).

126,084 (one hundred twenty-six thousand eighty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 19 × 79. Its proper divisors sum to 232,316, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1EC84.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
480,621
Recamán's sequence
a(233,996) = 126,084
Square (n²)
15,897,175,056
Cube (n³)
2,004,379,419,760,704
Divisor count
48
σ(n) — sum of divisors
358,400
φ(n) — Euler's totient
33,696
Sum of prime factors
112

Primality

Prime factorization: 2 2 × 3 × 7 × 19 × 79

Nearest primes: 126,079 (−5) · 126,097 (+13)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 19 · 21 · 28 · 38 · 42 · 57 · 76 · 79 · 84 · 114 · 133 · 158 · 228 · 237 · 266 · 316 · 399 · 474 · 532 · 553 · 798 · 948 · 1106 · 1501 · 1596 · 1659 · 2212 · 3002 · 3318 · 4503 · 6004 · 6636 · 9006 · 10507 · 18012 · 21014 · 31521 · 42028 · 63042 (half) · 126084
Aliquot sum (sum of proper divisors): 232,316
Factor pairs (a × b = 126,084)
1 × 126084
2 × 63042
3 × 42028
4 × 31521
6 × 21014
7 × 18012
12 × 10507
14 × 9006
19 × 6636
21 × 6004
28 × 4503
38 × 3318
42 × 3002
57 × 2212
76 × 1659
79 × 1596
84 × 1501
114 × 1106
133 × 948
158 × 798
228 × 553
237 × 532
266 × 474
316 × 399
First multiples
126,084 · 252,168 (double) · 378,252 · 504,336 · 630,420 · 756,504 · 882,588 · 1,008,672 · 1,134,756 · 1,260,840

Sums & aliquot sequence

As consecutive integers: 42,027 + 42,028 + 42,029 18,009 + 18,010 + … + 18,015 15,757 + 15,758 + … + 15,764 6,627 + 6,628 + … + 6,645
Aliquot sequence: 126,084 232,316 232,372 245,644 263,284 263,340 784,980 2,016,000 6,274,464 12,550,944 27,123,936 55,064,352 112,731,360 300,434,736 586,564,048 780,620,272 745,219,568 — unresolved within range

Continued fraction of √n

√126,084 = [355; (12, 28, 3, 10, 1, 3, 3, 2, 3, 1, 8, 1, 2, 3, 1, 2, 236, 2, 1, 3, 2, 1, 8, 1, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-six thousand eighty-four
Ordinal
126084th
Binary
11110110010000100
Octal
366204
Hexadecimal
0x1EC84
Base64
AeyE
One's complement
4,294,841,211 (32-bit)
Scientific notation
1.26084 × 10⁵
As a duration
126,084 s = 1 day, 11 hours, 1 minute, 24 seconds
In other bases
ternary (3) 20101221210
quaternary (4) 132302010
quinary (5) 13013314
senary (6) 2411420
septenary (7) 1033410
nonary (9) 211853
undecimal (11) 86802
duodecimal (12) 60b70
tridecimal (13) 4550a
tetradecimal (14) 33d40
pentadecimal (15) 27559

As an angle

126,084° = 350 × 360° + 84°
84° ≈ 1.466 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκϛπδʹ
Mayan (base 20)
𝋯·𝋯·𝋤·𝋤
Chinese
一十二萬六千零八十四
Chinese (financial)
壹拾貳萬陸仟零捌拾肆
In other modern scripts
Eastern Arabic ١٢٦٠٨٤ Devanagari १२६०८४ Bengali ১২৬০৮৪ Tamil ௧௨௬௦௮௪ Thai ๑๒๖๐๘๔ Tibetan ༡༢༦༠༨༤ Khmer ១២៦០៨៤ Lao ໑໒໖໐໘໔ Burmese ၁၂၆၀၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 126084, here are decompositions:

  • 5 + 126079 = 126084
  • 17 + 126067 = 126084
  • 37 + 126047 = 126084
  • 43 + 126041 = 126084
  • 47 + 126037 = 126084
  • 53 + 126031 = 126084
  • 61 + 126023 = 126084
  • 71 + 126013 = 126084

Showing the first eight; more decompositions exist.

Unicode codepoint
𞲄
Indic Siyaq Number Two Hundred
U+1EC84
Other number (No)

UTF-8 encoding: F0 9E B2 84 (4 bytes).

Hex color
#01EC84
RGB(1, 236, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.236.132.

Address
0.1.236.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.236.132

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 126,084 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 126084 first appears in π at position 889,286 of the decimal expansion (the 889,286ordinal-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

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