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126,684

126,684 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.).

126,684 (one hundred twenty-six thousand six hundred eighty-four) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2² × 3⁴ × 17 × 23. Its proper divisors sum to 239,220, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1EEDC.

Abundant Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,304
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
486,621
Recamán's sequence
a(499,999) = 126,684
Square (n²)
16,048,835,856
Cube (n³)
2,033,130,721,581,504
Divisor count
60
σ(n) — sum of divisors
365,904
φ(n) — Euler's totient
38,016
Sum of prime factors
56

Primality

Prime factorization: 2 2 × 3 4 × 17 × 23

Nearest primes: 126,683 (−1) · 126,691 (+7)

Divisors & multiples

All divisors (60)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 17 · 18 · 23 · 27 · 34 · 36 · 46 · 51 · 54 · 68 · 69 · 81 · 92 · 102 · 108 · 138 · 153 · 162 · 204 · 207 · 276 · 306 · 324 · 391 · 414 · 459 · 612 · 621 · 782 · 828 · 918 · 1173 · 1242 · 1377 · 1564 · 1836 · 1863 · 2346 · 2484 · 2754 · 3519 · 3726 · 4692 · 5508 · 7038 · 7452 · 10557 · 14076 · 21114 · 31671 · 42228 · 63342 (half) · 126684
Aliquot sum (sum of proper divisors): 239,220
Factor pairs (a × b = 126,684)
1 × 126684
2 × 63342
3 × 42228
4 × 31671
6 × 21114
9 × 14076
12 × 10557
17 × 7452
18 × 7038
23 × 5508
27 × 4692
34 × 3726
36 × 3519
46 × 2754
51 × 2484
54 × 2346
68 × 1863
69 × 1836
81 × 1564
92 × 1377
102 × 1242
108 × 1173
138 × 918
153 × 828
162 × 782
204 × 621
207 × 612
276 × 459
306 × 414
324 × 391
First multiples
126,684 · 253,368 (double) · 380,052 · 506,736 · 633,420 · 760,104 · 886,788 · 1,013,472 · 1,140,156 · 1,266,840

Sums & aliquot sequence

As consecutive integers: 42,227 + 42,228 + 42,229 15,832 + 15,833 + … + 15,839 14,072 + 14,073 + … + 14,080 7,444 + 7,445 + … + 7,460
Aliquot sequence: 126,684 239,220 506,700 1,084,344 1,626,576 3,325,488 5,565,312 10,452,768 16,986,000 41,046,000 91,305,648 202,723,152 322,722,384 560,411,568 1,048,178,432 1,351,199,584 1,842,628,256 — unresolved within range

Continued fraction of √n

√126,684 = [355; (1, 12, 1, 2, 4, 3, 1, 53, 1, 176, 1, 53, 1, 3, 4, 2, 1, 12, 1, 710)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-six thousand six hundred eighty-four
Ordinal
126684th
Binary
11110111011011100
Octal
367334
Hexadecimal
0x1EEDC
Base64
Ae7c
One's complement
4,294,840,611 (32-bit)
Scientific notation
1.26684 × 10⁵
As a duration
126,684 s = 1 day, 11 hours, 11 minutes, 24 seconds
In other bases
ternary (3) 20102210000
quaternary (4) 132323130
quinary (5) 13023214
senary (6) 2414300
septenary (7) 1035225
nonary (9) 212700
undecimal (11) 871a8
duodecimal (12) 61390
tridecimal (13) 4587c
tetradecimal (14) 3424c
pentadecimal (15) 27809

As an angle

126,684° = 351 × 360° + 324°
324° ≈ 5.655 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκϛχπδʹ
Mayan (base 20)
𝋯·𝋰·𝋮·𝋤
Chinese
一十二萬六千六百八十四
Chinese (financial)
壹拾貳萬陸仟陸佰捌拾肆
In other modern scripts
Eastern Arabic ١٢٦٦٨٤ Devanagari १२६६८४ Bengali ১২৬৬৮৪ Tamil ௧௨௬௬௮௪ Thai ๑๒๖๖๘๔ Tibetan ༡༢༦༦༨༤ Khmer ១២៦៦៨៤ Lao ໑໒໖໖໘໔ Burmese ၁၂၆၆၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 126684, here are decompositions:

  • 31 + 126653 = 126684
  • 43 + 126641 = 126684
  • 53 + 126631 = 126684
  • 71 + 126613 = 126684
  • 73 + 126611 = 126684
  • 83 + 126601 = 126684
  • 101 + 126583 = 126684
  • 137 + 126547 = 126684

Showing the first eight; more decompositions exist.

Hex color
#01EEDC
RGB(1, 238, 220)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.238.220.

Address
0.1.238.220
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.238.220

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 126,684 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°.