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121,684

121,684 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.).

121,684 (one hundred twenty-one thousand six hundred eighty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 29 × 1,049. Written other ways, in hexadecimal, 0x1DB54.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
384
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
486,121
Square (n²)
14,806,995,856
Cube (n³)
1,801,774,483,741,504
Divisor count
12
σ(n) — sum of divisors
220,500
φ(n) — Euler's totient
58,688
Sum of prime factors
1,082

Primality

Prime factorization: 2 2 × 29 × 1049

Nearest primes: 121,661 (−23) · 121,687 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 29 · 58 · 116 · 1049 · 2098 · 4196 · 30421 · 60842 (half) · 121684
Aliquot sum (sum of proper divisors): 98,816
Factor pairs (a × b = 121,684)
1 × 121684
2 × 60842
4 × 30421
29 × 4196
58 × 2098
116 × 1049
First multiples
121,684 · 243,368 (double) · 365,052 · 486,736 · 608,420 · 730,104 · 851,788 · 973,472 · 1,095,156 · 1,216,840

Sums & aliquot sequence

As a sum of two squares: 78² + 340² = 178² + 300²
As consecutive integers: 15,207 + 15,208 + … + 15,214 4,182 + 4,183 + … + 4,210 409 + 410 + … + 640
Aliquot sequence: 121,684 98,816 99,646 49,826 35,614 17,810 16,966 10,034 5,626 3,194 1,600 2,337 1,023 513 287 49 8 — unresolved within range

Continued fraction of √n

√121,684 = [348; (1, 4, 1, 27, 13, 1, 1, 1, 4, 5, 2, 1, 2, 1, 2, 139, 6, 139, 2, 1, 2, 1, 2, 5, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand six hundred eighty-four
Ordinal
121684th
Binary
11101101101010100
Octal
355524
Hexadecimal
0x1DB54
Base64
AdtU
One's complement
4,294,845,611 (32-bit)
Scientific notation
1.21684 × 10⁵
As a duration
121,684 s = 1 day, 9 hours, 48 minutes, 4 seconds
In other bases
ternary (3) 20011220211
quaternary (4) 131231110
quinary (5) 12343214
senary (6) 2335204
septenary (7) 1014523
nonary (9) 204824
undecimal (11) 83472
duodecimal (12) 5a504
tridecimal (13) 43504
tetradecimal (14) 324ba
pentadecimal (15) 260c4

As an angle

121,684° = 338 × 360° + 4°
4° ≈ 0.07 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαχπδʹ
Mayan (base 20)
𝋯·𝋤·𝋤·𝋤
Chinese
一十二萬一千六百八十四
Chinese (financial)
壹拾貳萬壹仟陸佰捌拾肆
In other modern scripts
Eastern Arabic ١٢١٦٨٤ Devanagari १२१६८४ Bengali ১২১৬৮৪ Tamil ௧௨௧௬௮௪ Thai ๑๒๑๖๘๔ Tibetan ༡༢༡༦༨༤ Khmer ១២១៦៨៤ Lao ໑໒໑໖໘໔ Burmese ၁၂၁၆၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121684, here are decompositions:

  • 23 + 121661 = 121684
  • 47 + 121637 = 121684
  • 53 + 121631 = 121684
  • 107 + 121577 = 121684
  • 113 + 121571 = 121684
  • 131 + 121553 = 121684
  • 137 + 121547 = 121684
  • 191 + 121493 = 121684

Showing the first eight; more decompositions exist.

Hex color
#01DB54
RGB(1, 219, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.219.84.

Address
0.1.219.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.219.84

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 121,684 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 121684 first appears in π at position 651,023 of the decimal expansion (the 651,023ordinal-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