Live analysis

116,984

116,984 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.).

116,984 (one hundred sixteen thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 2,089. Its proper divisors sum to 133,816, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C8F8.

Abundant Number Arithmetic Number Gapful Number Odious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

116,972 116,973 116,974 116,975 116,976 116,977 116,978 116,979 116,980 116,981 116,982 116,983 116,984 116,985 116,986 116,987 116,988 116,989 116,990 116,991 116,992 116,993 116,994 116,995 116,996

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Properties

Parity: Even
Digit count: 6
Digit sum: 29
Digit product: 1,728
Digital root: 2
Palindrome: No
Bit width: 17 bits
Reversed: 489,611
Square (n²): 13,685,256,256
Cube (n³): 1,600,956,017,851,904
Divisor count: 16
σ(n) — sum of divisors: 250,800
φ(n) — Euler's totient: 50,112
Sum of prime factors: 2,102

Primality

Prime factorization: 2 ³ × 7 × 2089

Nearest primes: 116,981 (−3) · 116,989 (+5)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 2089 · 4178 · 8356 · 14623 · 16712 · 29246 · 58492 (half) · 116984

Aliquot sum (sum of proper divisors): 133,816

Factor pairs (a × b = 116,984)

1 × 116984

2 × 58492

4 × 29246

7 × 16712

8 × 14623

14 × 8356

28 × 4178

56 × 2089

First multiples

116,984 · 233,968 (double) · 350,952 · 467,936 · 584,920 · 701,904 · 818,888 · 935,872 · 1,052,856 · 1,169,840

Sums & aliquot sequence

As consecutive integers: 16,709 + 16,710 + … + 16,715 7,304 + 7,305 + … + 7,319 989 + 990 + … + 1,100

Aliquot sequence: 116,984 → 133,816 → 123,584 → 121,780 → 134,000 → 194,848 → 188,822 → 109,378 → 64,394 → 41,014 → 20,510 → 21,826 → 15,614 → 8,554 → 7,574 → 5,434 → 4,646 — unresolved within range

Continued fraction of √n

√116,984 = [342; (34, 4, 1, 26, 1, 1, 3, 1, 1, 2, 2, 1, 2, 10, 6, 2, 12, 1, 2, 3, 1, 9, 1, 3, …)]

Representations

In words: one hundred sixteen thousand nine hundred eighty-four
Ordinal: 116984th
Binary: 11100100011111000
Octal: 344370
Hexadecimal: 0x1C8F8
Base64: Acj4
One's complement: 4,294,850,311 (32-bit)
Scientific notation: 1.16984 × 10⁵
As a duration: 116,984 s = 1 day, 8 hours, 29 minutes, 44 seconds

In other bases

ternary (3) 12221110202

quaternary (4) 130203320

quinary (5) 12220414

senary (6) 2301332

septenary (7) 665030

nonary (9) 187422

undecimal (11) 7a98a

duodecimal (12) 57848

tridecimal (13) 4132a

tetradecimal (14) 308c0

pentadecimal (15) 249de

As an angle

116,984° = 324 × 360° + 344°

344° ≈ 6.004 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριϛϡπδʹ
Mayan (base 20): 𝋮·𝋬·𝋩·𝋤
Chinese: 一十一萬六千九百八十四
Chinese (financial): 壹拾壹萬陸仟玖佰捌拾肆

In other modern scripts

Eastern Arabic ١١٦٩٨٤ Devanagari ११६९८४ Bengali ১১৬৯৮৪ Tamil ௧௧௬௯௮௪ Thai ๑๑๖๙๘๔ Tibetan ༡༡༦༩༨༤ Khmer ១១៦៩៨៤ Lao ໑໑໖໙໘໔ Burmese ၁၁၆၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116984, here are decompositions:

3 + 116981 = 116984
31 + 116953 = 116984
61 + 116923 = 116984
73 + 116911 = 116984
103 + 116881 = 116984
151 + 116833 = 116984
157 + 116827 = 116984
181 + 116803 = 116984

Showing the first eight; more decompositions exist.

Hex color

#01C8F8

RGB(1, 200, 248)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.200.248.

Address: 0.1.200.248
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.200.248

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 116,984 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US116,984 on Google Patents ↗ Look up on USPTO ↗