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121,984

121,984 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.).

121,984 (one hundred twenty-one thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2⁷ × 953. Written other ways, in hexadecimal, 0x1DC80.

Deficient Number Frugal Number Happy Number Odious Number Pernicious Number Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
576
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
489,121
Square (n²)
14,880,096,256
Cube (n³)
1,815,133,661,691,904
Divisor count
16
σ(n) — sum of divisors
243,270
φ(n) — Euler's totient
60,928
Sum of prime factors
967

Primality

Prime factorization: 2 7 × 953

Nearest primes: 121,967 (−17) · 121,993 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 16 · 32 · 64 · 128 · 953 · 1906 · 3812 · 7624 · 15248 · 30496 · 60992 (half) · 121984
Aliquot sum (sum of proper divisors): 121,286
Factor pairs (a × b = 121,984)
1 × 121984
2 × 60992
4 × 30496
8 × 15248
16 × 7624
32 × 3812
64 × 1906
128 × 953
First multiples
121,984 · 243,968 (double) · 365,952 · 487,936 · 609,920 · 731,904 · 853,888 · 975,872 · 1,097,856 · 1,219,840

Sums & aliquot sequence

As a sum of two squares: 120² + 328²
As consecutive integers: 349 + 350 + … + 604
Aliquot sequence: 121,984 121,286 83,914 41,960 52,540 62,372 50,524 43,220 47,584 46,160 61,348 63,938 45,694 32,642 18,958 9,482 6,070 — unresolved within range

Continued fraction of √n

√121,984 = [349; (3, 1, 4, 2, 2, 1, 3, 1, 10, 1, 5, 1, 6, 2, 99, 3, 10, 1, 1, 2, 1, 1, 5, 1, …)]

Representations

In words
one hundred twenty-one thousand nine hundred eighty-four
Ordinal
121984th
Binary
11101110010000000
Octal
356200
Hexadecimal
0x1DC80
Base64
AdyA
One's complement
4,294,845,311 (32-bit)
Scientific notation
1.21984 × 10⁵
As a duration
121,984 s = 1 day, 9 hours, 53 minutes, 4 seconds
In other bases
ternary (3) 20012022221
quaternary (4) 131302000
quinary (5) 12400414
senary (6) 2340424
septenary (7) 1015432
nonary (9) 205287
undecimal (11) 83715
duodecimal (12) 5a714
tridecimal (13) 436a5
tetradecimal (14) 32652
pentadecimal (15) 26224

As an angle

121,984° = 338 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρκαϡπδʹ
Mayan (base 20)
𝋯·𝋤·𝋳·𝋤
Chinese
一十二萬一千九百八十四
Chinese (financial)
壹拾貳萬壹仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ١٢١٩٨٤ Devanagari १२१९८४ Bengali ১২১৯৮৪ Tamil ௧௨௧௯௮௪ Thai ๑๒๑๙๘๔ Tibetan ༡༢༡༩༨༤ Khmer ១២១៩៨៤ Lao ໑໒໑໙໘໔ Burmese ၁၂၁၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 121984, here are decompositions:

  • 17 + 121967 = 121984
  • 47 + 121937 = 121984
  • 53 + 121931 = 121984
  • 101 + 121883 = 121984
  • 131 + 121853 = 121984
  • 197 + 121787 = 121984
  • 257 + 121727 = 121984
  • 263 + 121721 = 121984

Showing the first eight; more decompositions exist.

Hex color
#01DC80
RGB(1, 220, 128)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.220.128.

Address
0.1.220.128
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.220.128

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 121,984 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 121984 first appears in π at position 27,590 of the decimal expansion (the 27,590ordinal-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