Live analysis

109,988

109,988 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.).

109,988 (one hundred nine thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 31 × 887. Written other ways, in hexadecimal, 0x1ADA4.

Arithmetic Number Cube-Free Deficient Number Flippable Happy Number Odious Number Recamán's Sequence

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

109,976 109,977 109,978 109,979 109,980 109,981 109,982 109,983 109,984 109,985 109,986 109,987 109,988 109,989 109,990 109,991 109,992 109,993 109,994 109,995 109,996 109,997 109,998 109,999 110,000

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 35
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 17 bits
Reversed: 889,901
Flips to (rotate 180°): 886,601
Recamán's sequence: a(249,320) = 109,988
Square (n²): 12,097,360,144
Cube (n³): 1,330,564,447,518,272
Divisor count: 12
σ(n) — sum of divisors: 198,912
φ(n) — Euler's totient: 53,160
Sum of prime factors: 922

Primality

Prime factorization: 2 ² × 31 × 887

Nearest primes: 109,987 (−1) · 110,017 (+29)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 31 · 62 · 124 · 887 · 1774 · 3548 · 27497 · 54994 (half) · 109988

Aliquot sum (sum of proper divisors): 88,924

Factor pairs (a × b = 109,988)

1 × 109988

2 × 54994

4 × 27497

31 × 3548

62 × 1774

124 × 887

First multiples

109,988 · 219,976 (double) · 329,964 · 439,952 · 549,940 · 659,928 · 769,916 · 879,904 · 989,892 · 1,099,880

Sums & aliquot sequence

As consecutive integers: 13,745 + 13,746 + … + 13,752 3,533 + 3,534 + … + 3,563 320 + 321 + … + 567

Aliquot sequence: 109,988 → 88,924 → 88,484 → 80,524 → 64,124 → 62,884 → 49,116 → 65,516 → 59,644 → 59,524 → 49,340 → 54,316 → 43,572 → 58,124 → 52,924 → 41,324 → 31,000 — unresolved within range

Continued fraction of √n

√109,988 = [331; (1, 1, 1, 4, 3, 8, 2, 2, 2, 23, 3, 1, 1, 1, 28, 4, 1, 19, 1, 12, 1, 1, 2, 2, …)]

Representations

In words: one hundred nine thousand nine hundred eighty-eight
Ordinal: 109988th
Binary: 11010110110100100
Octal: 326644
Hexadecimal: 0x1ADA4
Base64: Aa2k
One's complement: 4,294,857,307 (32-bit)
Scientific notation: 1.09988 × 10⁵
As a duration: 109,988 s = 1 day, 6 hours, 33 minutes, 8 seconds

In other bases

ternary (3) 12120212122

quaternary (4) 122312210

quinary (5) 12004423

senary (6) 2205112

septenary (7) 635444

nonary (9) 176778

undecimal (11) 756aa

duodecimal (12) 53798

tridecimal (13) 3b0a8

tetradecimal (14) 2c124

pentadecimal (15) 228c8

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρθϡπηʹ
Mayan (base 20): 𝋭·𝋮·𝋳·𝋨
Chinese: 一十萬九千九百八十八
Chinese (financial): 壹拾萬玖仟玖佰捌拾捌

In other modern scripts

Eastern Arabic ١٠٩٩٨٨ Devanagari १०९९८८ Bengali ১০৯৯৮৮ Tamil ௧௦௯௯௮௮ Thai ๑๐๙๙๘๘ Tibetan ༡༠༩༩༨༨ Khmer ១០៩៩៨៨ Lao ໑໐໙໙໘໘ Burmese ၁၀၉၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 109988, here are decompositions:

97 + 109891 = 109988
139 + 109849 = 109988
157 + 109831 = 109988
181 + 109807 = 109988
199 + 109789 = 109988
271 + 109717 = 109988
349 + 109639 = 109988
367 + 109621 = 109988

Showing the first eight; more decompositions exist.

Hex color

#01ADA4

RGB(1, 173, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.173.164.

Address: 0.1.173.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.173.164

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 109,988 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 US109,988 on Google Patents ↗ Look up on USPTO ↗