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114,984

114,984 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.).

114,984 (one hundred fourteen thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 1,597. Its proper divisors sum to 196,626, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C128.

Abundant Number Evil Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
1,152
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
489,411
Recamán's sequence
a(71,375) = 114,984
Square (n²)
13,221,320,256
Cube (n³)
1,520,240,288,315,904
Divisor count
24
σ(n) — sum of divisors
311,610
φ(n) — Euler's totient
38,304
Sum of prime factors
1,609

Primality

Prime factorization: 2 3 × 3 2 × 1597

Nearest primes: 114,973 (−11) · 114,997 (+13)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 72 · 1597 · 3194 · 4791 · 6388 · 9582 · 12776 · 14373 · 19164 · 28746 · 38328 · 57492 (half) · 114984
Aliquot sum (sum of proper divisors): 196,626
Factor pairs (a × b = 114,984)
1 × 114984
2 × 57492
3 × 38328
4 × 28746
6 × 19164
8 × 14373
9 × 12776
12 × 9582
18 × 6388
24 × 4791
36 × 3194
72 × 1597
First multiples
114,984 · 229,968 (double) · 344,952 · 459,936 · 574,920 · 689,904 · 804,888 · 919,872 · 1,034,856 · 1,149,840

Sums & aliquot sequence

As a sum of two squares: 78² + 330²
As consecutive integers: 38,327 + 38,328 + 38,329 12,772 + 12,773 + … + 12,780 7,179 + 7,180 + … + 7,194 2,372 + 2,373 + … + 2,419
Aliquot sequence: 114,984 196,626 196,638 227,058 280,974 280,986 280,998 339,570 783,630 1,254,042 1,556,304 2,464,272 4,539,868 3,404,908 3,012,132 4,087,324 3,065,500 — unresolved within range

Continued fraction of √n

√114,984 = [339; (10, 1, 3, 4, 2, 2, 1, 2, 9, 1, 1, 1, 1, 8, 1, 2, 5, 2, 1, 4, 1, 3, 1, 1, …)]

Representations

In words
one hundred fourteen thousand nine hundred eighty-four
Ordinal
114984th
Binary
11100000100101000
Octal
340450
Hexadecimal
0x1C128
Base64
AcEo
One's complement
4,294,852,311 (32-bit)
Scientific notation
1.14984 × 10⁵
As a duration
114,984 s = 1 day, 7 hours, 56 minutes, 24 seconds
In other bases
ternary (3) 12211201200
quaternary (4) 130010220
quinary (5) 12134414
senary (6) 2244200
septenary (7) 656142
nonary (9) 184650
undecimal (11) 79431
duodecimal (12) 56660
tridecimal (13) 4044c
tetradecimal (14) 2dc92
pentadecimal (15) 24109

As an angle

114,984° = 319 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριδϡπδʹ
Mayan (base 20)
𝋮·𝋧·𝋩·𝋤
Chinese
一十一萬四千九百八十四
Chinese (financial)
壹拾壹萬肆仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ١١٤٩٨٤ Devanagari ११४९८४ Bengali ১১৪৯৮৪ Tamil ௧௧௪௯௮௪ Thai ๑๑๔๙๘๔ Tibetan ༡༡༤༩༨༤ Khmer ១១៤៩៨៤ Lao ໑໑໔໙໘໔ Burmese ၁၁၄၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 114984, here are decompositions:

  • 11 + 114973 = 114984
  • 17 + 114967 = 114984
  • 43 + 114941 = 114984
  • 71 + 114913 = 114984
  • 83 + 114901 = 114984
  • 101 + 114883 = 114984
  • 137 + 114847 = 114984
  • 151 + 114833 = 114984

Showing the first eight; more decompositions exist.

Hex color
#01C128
RGB(1, 193, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.193.40.

Address
0.1.193.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.193.40

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 114,984 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 114984 first appears in π at position 41,943 of the decimal expansion (the 41,943ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.