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122,382

122,382 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.).

122,382 (one hundred twenty-two thousand three hundred eighty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 13 × 523. Its proper divisors sum to 163,722, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DE0E.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
192
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
283,221
Square (n²)
14,977,353,924
Cube (n³)
1,832,958,527,926,968
Divisor count
24
σ(n) — sum of divisors
286,104
φ(n) — Euler's totient
37,584
Sum of prime factors
544

Primality

Prime factorization: 2 × 3 2 × 13 × 523

Nearest primes: 122,363 (−19) · 122,387 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 13 · 18 · 26 · 39 · 78 · 117 · 234 · 523 · 1046 · 1569 · 3138 · 4707 · 6799 · 9414 · 13598 · 20397 · 40794 · 61191 (half) · 122382
Aliquot sum (sum of proper divisors): 163,722
Factor pairs (a × b = 122,382)
1 × 122382
2 × 61191
3 × 40794
6 × 20397
9 × 13598
13 × 9414
18 × 6799
26 × 4707
39 × 3138
78 × 1569
117 × 1046
234 × 523
First multiples
122,382 · 244,764 (double) · 367,146 · 489,528 · 611,910 · 734,292 · 856,674 · 979,056 · 1,101,438 · 1,223,820

Sums & aliquot sequence

As a sum of two cubes: 35³ + 43³
As consecutive integers: 40,793 + 40,794 + 40,795 30,594 + 30,595 + 30,596 + 30,597 13,594 + 13,595 + … + 13,602 10,193 + 10,194 + … + 10,204
Aliquot sequence: 122,382 163,722 189,078 189,090 350,046 408,426 408,438 476,550 840,330 1,344,762 1,677,894 1,677,906 2,117,340 4,529,916 7,318,284 9,876,516 14,941,788 — unresolved within range

Continued fraction of √n

√122,382 = [349; (1, 4, 1, 13, 2, 4, 11, 16, 5, 2, 26, 2, 5, 16, 11, 4, 2, 13, 1, 4, 1, 698)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand three hundred eighty-two
Ordinal
122382nd
Binary
11101111000001110
Octal
357016
Hexadecimal
0x1DE0E
Base64
Ad4O
One's complement
4,294,844,913 (32-bit)
Scientific notation
1.22382 × 10⁵
As a duration
122,382 s = 1 day, 9 hours, 59 minutes, 42 seconds
In other bases
ternary (3) 20012212200
quaternary (4) 131320032
quinary (5) 12404012
senary (6) 2342330
septenary (7) 1016541
nonary (9) 205780
undecimal (11) 83a47
duodecimal (12) 5a9a6
tridecimal (13) 43920
tetradecimal (14) 32858
pentadecimal (15) 263dc

As an angle

122,382° = 339 × 360° + 342°
342° ≈ 5.969 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρκβτπβʹ
Mayan (base 20)
𝋯·𝋥·𝋳·𝋢
Chinese
一十二萬二千三百八十二
Chinese (financial)
壹拾貳萬貳仟參佰捌拾貳
In other modern scripts
Eastern Arabic ١٢٢٣٨٢ Devanagari १२२३८२ Bengali ১২২৩৮২ Tamil ௧௨௨௩௮௨ Thai ๑๒๒๓๘๒ Tibetan ༡༢༢༣༨༢ Khmer ១២២៣៨២ Lao ໑໒໒໓໘໒ Burmese ၁၂၂၃၈၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122382, here are decompositions:

  • 19 + 122363 = 122382
  • 59 + 122323 = 122382
  • 61 + 122321 = 122382
  • 83 + 122299 = 122382
  • 103 + 122279 = 122382
  • 109 + 122273 = 122382
  • 131 + 122251 = 122382
  • 151 + 122231 = 122382

Showing the first eight; more decompositions exist.

Hex color
#01DE0E
RGB(1, 222, 14)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.222.14.

Address
0.1.222.14
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.222.14

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 122,382 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 122382 first appears in π at position 133,485 of the decimal expansion (the 133,485ordinal-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°.