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121,184

121,184 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.).

121,184 (one hundred twenty-one thousand one hundred eighty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 7 × 541. Its proper divisors sum to 151,984, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1D960.

Abundant Number Arithmetic Number Evil Number Gapful Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
64
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
481,121
Square (n²)
14,685,561,856
Cube (n³)
1,779,655,127,957,504
Divisor count
24
σ(n) — sum of divisors
273,168
φ(n) — Euler's totient
51,840
Sum of prime factors
558

Primality

Prime factorization: 2 5 × 7 × 541

Nearest primes: 121,181 (−3) · 121,189 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 112 · 224 · 541 · 1082 · 2164 · 3787 · 4328 · 7574 · 8656 · 15148 · 17312 · 30296 · 60592 (half) · 121184
Aliquot sum (sum of proper divisors): 151,984
Factor pairs (a × b = 121,184)
1 × 121184
2 × 60592
4 × 30296
7 × 17312
8 × 15148
14 × 8656
16 × 7574
28 × 4328
32 × 3787
56 × 2164
112 × 1082
224 × 541
First multiples
121,184 · 242,368 (double) · 363,552 · 484,736 · 605,920 · 727,104 · 848,288 · 969,472 · 1,090,656 · 1,211,840

Sums & aliquot sequence

As consecutive integers: 17,309 + 17,310 + … + 17,315 1,862 + 1,863 + … + 1,925 47 + 48 + … + 494
Aliquot sequence: 121,184 151,984 205,136 192,346 167,654 98,674 51,086 39,634 32,366 16,186 8,096 10,048 10,018 5,012 5,068 5,124 8,764 — unresolved within range

Continued fraction of √n

√121,184 = [348; (8, 1, 2, 2, 1, 6, 3, 1, 4, 1, 5, 1, 13, 1, 23, 1, 13, 1, 5, 1, 4, 1, 3, 6, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred twenty-one thousand one hundred eighty-four
Ordinal
121184th
Binary
11101100101100000
Octal
354540
Hexadecimal
0x1D960
Base64
Adlg
One's complement
4,294,846,111 (32-bit)
Scientific notation
1.21184 × 10⁵
As a duration
121,184 s = 1 day, 9 hours, 39 minutes, 44 seconds
In other bases
ternary (3) 20011020022
quaternary (4) 131211200
quinary (5) 12334214
senary (6) 2333012
septenary (7) 1013210
nonary (9) 204208
undecimal (11) 83058
duodecimal (12) 5a168
tridecimal (13) 4320b
tetradecimal (14) 32240
pentadecimal (15) 25d8e

As an angle

121,184° = 336 × 360° + 224°
224° ≈ 3.91 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαρπδʹ
Mayan (base 20)
𝋯·𝋢·𝋳·𝋤
Chinese
一十二萬一千一百八十四
Chinese (financial)
壹拾貳萬壹仟壹佰捌拾肆
In other modern scripts
Eastern Arabic ١٢١١٨٤ Devanagari १२११८४ Bengali ১২১১৮৪ Tamil ௧௨௧௧௮௪ Thai ๑๒๑๑๘๔ Tibetan ༡༢༡༡༨༤ Khmer ១២១១៨៤ Lao ໑໒໑໑໘໔ Burmese ၁၂၁၁၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121184, here are decompositions:

  • 3 + 121181 = 121184
  • 13 + 121171 = 121184
  • 61 + 121123 = 121184
  • 103 + 121081 = 121184
  • 163 + 121021 = 121184
  • 241 + 120943 = 121184
  • 277 + 120907 = 121184
  • 307 + 120877 = 121184

Showing the first eight; more decompositions exist.

Unicode codepoint
𝥠
Signwriting Movement-Diagonal Between Away Largest
U+1D960
Other symbol (So)

UTF-8 encoding: F0 9D A5 A0 (4 bytes).

Hex color
#01D960
RGB(1, 217, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.217.96.

Address
0.1.217.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.217.96

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 121,184 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 121184 first appears in π at position 425,809 of the decimal expansion (the 425,809ordinal-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.