Live analysis

116,988

116,988 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.).

116,988 (one hundred sixteen thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 9,749. Its proper divisors sum to 156,012, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C8FC.

Abundant Number Arithmetic Number Cube-Free Evil Number Flippable Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

116,976 116,977 116,978 116,979 116,980 116,981 116,982 116,983 116,984 116,985 116,986 116,987 116,988 116,989 116,990 116,991 116,992 116,993 116,994 116,995 116,996 116,997 116,998 116,999 117,000

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Properties

Parity: Even
Digit count: 6
Digit sum: 33
Digit product: 3,456
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 889,611
Flips to (rotate 180°): 886,911
Square (n²): 13,686,192,144
Cube (n³): 1,601,120,246,542,272
Divisor count: 12
σ(n) — sum of divisors: 273,000
φ(n) — Euler's totient: 38,992
Sum of prime factors: 9,756

Primality

Prime factorization: 2 ² × 3 × 9749

Nearest primes: 116,981 (−7) · 116,989 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 9749 · 19498 · 29247 · 38996 · 58494 (half) · 116988

Aliquot sum (sum of proper divisors): 156,012

Factor pairs (a × b = 116,988)

1 × 116988

2 × 58494

3 × 38996

4 × 29247

6 × 19498

12 × 9749

First multiples

116,988 · 233,976 (double) · 350,964 · 467,952 · 584,940 · 701,928 · 818,916 · 935,904 · 1,052,892 · 1,169,880

Sums & aliquot sequence

As consecutive integers: 38,995 + 38,996 + 38,997 14,620 + 14,621 + … + 14,627 4,863 + 4,864 + … + 4,886

Aliquot sequence: 116,988 → 156,012 → 208,044 → 317,936 → 318,928 → 319,920 → 727,632 → 1,387,312 → 1,388,304 → 2,635,248 → 6,507,024 → 10,849,008 → 19,434,768 → 33,942,768 → 56,575,248 → 95,843,568 → 166,139,664 — unresolved within range

Continued fraction of √n

√116,988 = [342; (28, 1, 1, 170, 1, 1, 28, 684)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one hundred sixteen thousand nine hundred eighty-eight
Ordinal: 116988th
Binary: 11100100011111100
Octal: 344374
Hexadecimal: 0x1C8FC
Base64: Acj8
One's complement: 4,294,850,307 (32-bit)
Scientific notation: 1.16988 × 10⁵
As a duration: 116,988 s = 1 day, 8 hours, 29 minutes, 48 seconds

In other bases

ternary (3) 12221110220

quaternary (4) 130203330

quinary (5) 12220423

senary (6) 2301340

septenary (7) 665034

nonary (9) 187426

undecimal (11) 7a993

duodecimal (12) 57850

tridecimal (13) 41331

tetradecimal (14) 308c4

pentadecimal (15) 249e3

As an angle

116,988° = 324 × 360° + 348°

348° ≈ 6.074 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριϛϡπηʹ
Mayan (base 20): 𝋮·𝋬·𝋩·𝋨
Chinese: 一十一萬六千九百八十八
Chinese (financial): 壹拾壹萬陸仟玖佰捌拾捌

In other modern scripts

Eastern Arabic ١١٦٩٨٨ Devanagari ११६९८८ Bengali ১১৬৯৮৮ Tamil ௧௧௬௯௮௮ Thai ๑๑๖๙๘๘ Tibetan ༡༡༦༩༨༨ Khmer ១១៦៩៨៨ Lao ໑໑໖໙໘໘ Burmese ၁၁၆၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116988, here are decompositions:

7 + 116981 = 116988
19 + 116969 = 116988
29 + 116959 = 116988
59 + 116929 = 116988
61 + 116927 = 116988
107 + 116881 = 116988
139 + 116849 = 116988
191 + 116797 = 116988

Showing the first eight; more decompositions exist.

Hex color

#01C8FC

RGB(1, 200, 252)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.200.252.

Address: 0.1.200.252
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.200.252

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 116,988 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 US116,988 on Google Patents ↗ Look up on USPTO ↗