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122,048

122,048 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.).

122,048 (one hundred twenty-two thousand forty-eight) is an even 6-digit number. It is a composite number with 14 divisors, and factors as 2⁶ × 1,907. Written other ways, in hexadecimal, 0x1DCC0.

Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
840,221
Square (n²)
14,895,714,304
Cube (n³)
1,817,992,139,374,592
Divisor count
14
σ(n) — sum of divisors
242,316
φ(n) — Euler's totient
60,992
Sum of prime factors
1,919

Primality

Prime factorization: 2 6 × 1907

Nearest primes: 122,041 (−7) · 122,051 (+3)

Divisors & multiples

All divisors (14)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 1907 · 3814 · 7628 · 15256 · 30512 · 61024 (half) · 122048
Aliquot sum (sum of proper divisors): 120,268
Factor pairs (a × b = 122,048)
1 × 122048
2 × 61024
4 × 30512
8 × 15256
16 × 7628
32 × 3814
64 × 1907
First multiples
122,048 · 244,096 (double) · 366,144 · 488,192 · 610,240 · 732,288 · 854,336 · 976,384 · 1,098,432 · 1,220,480

Sums & aliquot sequence

As consecutive integers: 890 + 891 + … + 1,017
Aliquot sequence: 122,048 120,268 92,924 82,300 96,508 79,892 59,926 36,086 18,046 12,914 8,254 4,130 4,510 4,562 2,284 1,720 2,240 — unresolved within range

Continued fraction of √n

√122,048 = [349; (2, 1, 4, 1, 3, 1, 4, 10, 1, 2, 2, 3, 5, 5, 1, 173, 1, 5, 5, 3, 2, 2, 1, 10, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-two thousand forty-eight
Ordinal
122048th
Binary
11101110011000000
Octal
356300
Hexadecimal
0x1DCC0
Base64
AdzA
One's complement
4,294,845,247 (32-bit)
Scientific notation
1.22048 × 10⁵
As a duration
122,048 s = 1 day, 9 hours, 54 minutes, 8 seconds
In other bases
ternary (3) 20012102022
quaternary (4) 131303000
quinary (5) 12401143
senary (6) 2341012
septenary (7) 1015553
nonary (9) 205368
undecimal (11) 83773
duodecimal (12) 5a768
tridecimal (13) 43724
tetradecimal (14) 3269a
pentadecimal (15) 26268

As an angle

122,048° = 339 × 360° + 8°
8° ≈ 0.14 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκβμηʹ
Mayan (base 20)
𝋯·𝋥·𝋢·𝋨
Chinese
一十二萬二千零四十八
Chinese (financial)
壹拾貳萬貳仟零肆拾捌
In other modern scripts
Eastern Arabic ١٢٢٠٤٨ Devanagari १२२०४८ Bengali ১২২০৪৮ Tamil ௧௨௨௦௪௮ Thai ๑๒๒๐๔๘ Tibetan ༡༢༢༠༤༨ Khmer ១២២០៤៨ Lao ໑໒໒໐໔໘ Burmese ၁၂၂၀၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 122048, here are decompositions:

  • 7 + 122041 = 122048
  • 19 + 122029 = 122048
  • 37 + 122011 = 122048
  • 97 + 121951 = 122048
  • 127 + 121921 = 122048
  • 139 + 121909 = 122048
  • 181 + 121867 = 122048
  • 337 + 121711 = 122048

Showing the first eight; more decompositions exist.

Hex color
#01DCC0
RGB(1, 220, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.192.

Address
0.1.220.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.220.192

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 122,048 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 122048 first appears in π at position 211,867 of the decimal expansion (the 211,867ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.