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106,428

106,428 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.).

106,428 (one hundred six thousand four hundred twenty-eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 7² × 181. Its proper divisors sum to 184,044, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19FBC.

Abundant Number Cube-Free Evil Number Harshad / Niven Practical Number Recamán's Sequence 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
824,601
Recamán's sequence
a(252,324) = 106,428
Square (n²)
11,326,919,184
Cube (n³)
1,205,501,354,914,752
Divisor count
36
σ(n) — sum of divisors
290,472
φ(n) — Euler's totient
30,240
Sum of prime factors
202

Primality

Prime factorization: 2 2 × 3 × 7 2 × 181

Nearest primes: 106,427 (−1) · 106,433 (+5)

Divisors & multiples

All divisors (36)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 49 · 84 · 98 · 147 · 181 · 196 · 294 · 362 · 543 · 588 · 724 · 1086 · 1267 · 2172 · 2534 · 3801 · 5068 · 7602 · 8869 · 15204 · 17738 · 26607 · 35476 · 53214 (half) · 106428
Aliquot sum (sum of proper divisors): 184,044
Factor pairs (a × b = 106,428)
1 × 106428
2 × 53214
3 × 35476
4 × 26607
6 × 17738
7 × 15204
12 × 8869
14 × 7602
21 × 5068
28 × 3801
42 × 2534
49 × 2172
84 × 1267
98 × 1086
147 × 724
181 × 588
196 × 543
294 × 362
First multiples
106,428 · 212,856 (double) · 319,284 · 425,712 · 532,140 · 638,568 · 744,996 · 851,424 · 957,852 · 1,064,280

Sums & aliquot sequence

As consecutive integers: 35,475 + 35,476 + 35,477 15,201 + 15,202 + … + 15,207 13,300 + 13,301 + … + 13,307 5,058 + 5,059 + … + 5,078
Aliquot sequence: 106,428 → 184,044 → 317,100 → 738,388 → 738,444 → 1,277,556 → 2,195,340 → 4,831,092 → 9,874,508 → 9,874,564 → 10,149,244 → 10,149,300 → 27,660,780 → 71,667,540 → 187,686,828 → 370,700,372 → 381,146,668 — unresolved within range

Continued fraction of √n

√106,428 = [326; (4, 3, 2, 3, 2, 2, 1, 16, 1, 12, 2, 1, 2, 5, 54, 5, 2, 1, 2, 12, 1, 16, 1, 2, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred six thousand four hundred twenty-eight
Ordinal
106428th
Binary
11001111110111100
Octal
317674
Hexadecimal
0x19FBC
Base64
AZ+8
One's complement
4,294,860,867 (32-bit)
Scientific notation
1.06428 × 10⁵
As a duration
106,428 s = 1 day, 5 hours, 33 minutes, 48 seconds
In other bases
ternary (3) 12101222210
quaternary (4) 121332330
quinary (5) 11401203
senary (6) 2140420
septenary (7) 622200
nonary (9) 171883
undecimal (11) 72a63
duodecimal (12) 51710
tridecimal (13) 3959a
tetradecimal (14) 2ab00
pentadecimal (15) 21803

As an angle

106,428° = 295 × 360° + 228°
228° ≈ 3.979 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρϛυκηʹ
Mayan (base 20)
𝋭·𝋦·𝋡·𝋨
Chinese
十萬六千四百二十八
Chinese (financial)
壹拾萬陸仟肆佰貳拾捌
In other modern scripts
Eastern Arabic ١٠٦٤٢٨ Devanagari १०६४२८ Bengali ১০৬৪২৮ Tamil ௧௦௬௪௨௮ Thai ๑๐๖๔๒๘ Tibetan ༡༠༦༤༢༨ Khmer ១០៦៤២៨ Lao ໑໐໖໔໒໘ Burmese ၁၀၆၄၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106428, here are decompositions:

  • 11 + 106417 = 106428
  • 17 + 106411 = 106428
  • 31 + 106397 = 106428
  • 37 + 106391 = 106428
  • 61 + 106367 = 106428
  • 71 + 106357 = 106428
  • 79 + 106349 = 106428
  • 97 + 106331 = 106428

Showing the first eight; more decompositions exist.

Hex color
#019FBC
RGB(1, 159, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.159.188.

Address
0.1.159.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.159.188

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 106,428 and was likely granted around 1870.

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

Position in π

The digit sequence 106428 first appears in π at position 380,982 of the decimal expansion (the 380,982ordinal-suffix:nd 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°.