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121,808

121,808 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.).

121,808 (one hundred twenty-one thousand eight hundred eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 23 × 331. Its proper divisors sum to 125,200, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1DBD0.

Abundant Number Evil Number Practical Number Self Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
808,121
Square (n²)
14,837,188,864
Cube (n³)
1,807,288,301,146,112
Divisor count
20
σ(n) — sum of divisors
247,008
φ(n) — Euler's totient
58,080
Sum of prime factors
362

Primality

Prime factorization: 2 4 × 23 × 331

Nearest primes: 121,789 (−19) · 121,843 (+35)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 23 · 46 · 92 · 184 · 331 · 368 · 662 · 1324 · 2648 · 5296 · 7613 · 15226 · 30452 · 60904 (half) · 121808
Aliquot sum (sum of proper divisors): 125,200
Factor pairs (a × b = 121,808)
1 × 121808
2 × 60904
4 × 30452
8 × 15226
16 × 7613
23 × 5296
46 × 2648
92 × 1324
184 × 662
331 × 368
First multiples
121,808 · 243,616 (double) · 365,424 · 487,232 · 609,040 · 730,848 · 852,656 · 974,464 · 1,096,272 · 1,218,080

Sums & aliquot sequence

As consecutive integers: 5,285 + 5,286 + … + 5,307 3,791 + 3,792 + … + 3,822 203 + 204 + … + 533
Aliquot sequence: 121,808 125,200 176,554 126,134 63,070 76,898 38,452 28,846 14,426 7,216 8,408 7,372 6,348 9,136 8,596 8,652 14,644 — unresolved within range

Continued fraction of √n

√121,808 = [349; (99, 1, 2, 1, 1, 13, 1, 2, 15, 1, 1, 10, 2, 1, 1, 3, 1, 2, 1, 5, 30, 5, 1, 2, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand eight hundred eight
Ordinal
121808th
Binary
11101101111010000
Octal
355720
Hexadecimal
0x1DBD0
Base64
AdvQ
One's complement
4,294,845,487 (32-bit)
Scientific notation
1.21808 × 10⁵
As a duration
121,808 s = 1 day, 9 hours, 50 minutes, 8 seconds
In other bases
ternary (3) 20012002102
quaternary (4) 131233100
quinary (5) 12344213
senary (6) 2335532
septenary (7) 1015061
nonary (9) 205072
undecimal (11) 83575
duodecimal (12) 5a5a8
tridecimal (13) 4359b
tetradecimal (14) 32568
pentadecimal (15) 26158

As an angle

121,808° = 338 × 360° + 128°
128° ≈ 2.234 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαωηʹ
Mayan (base 20)
𝋯·𝋤·𝋪·𝋨
Chinese
一十二萬一千八百零八
Chinese (financial)
壹拾貳萬壹仟捌佰零捌
In other modern scripts
Eastern Arabic ١٢١٨٠٨ Devanagari १२१८०८ Bengali ১২১৮০৮ Tamil ௧௨௧௮௦௮ Thai ๑๒๑๘๐๘ Tibetan ༡༢༡༨༠༨ Khmer ១២១៨០៨ Lao ໑໒໑໘໐໘ Burmese ၁၂၁၈၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121808, here are decompositions:

  • 19 + 121789 = 121808
  • 97 + 121711 = 121808
  • 199 + 121609 = 121808
  • 229 + 121579 = 121808
  • 277 + 121531 = 121808
  • 307 + 121501 = 121808
  • 367 + 121441 = 121808
  • 439 + 121369 = 121808

Showing the first eight; more decompositions exist.

Hex color
#01DBD0
RGB(1, 219, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.219.208.

Address
0.1.219.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.219.208

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 121,808 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 121808 first appears in π at position 90,303 of the decimal expansion (the 90,303ordinal-suffix:rd 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.