Live analysis

109,984

109,984 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.).

109,984 (one hundred nine thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 7 × 491. Its proper divisors sum to 137,984, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1ADA0.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number Smith Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

109,972 109,973 109,974 109,975 109,976 109,977 109,978 109,979 109,980 109,981 109,982 109,983 109,984 109,985 109,986 109,987 109,988 109,989 109,990 109,991 109,992 109,993 109,994 109,995 109,996

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 31
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 17 bits
Reversed: 489,901
Recamán's sequence: a(249,328) = 109,984
Square (n²): 12,096,480,256
Cube (n³): 1,330,419,284,475,904
Divisor count: 24
σ(n) — sum of divisors: 247,968
φ(n) — Euler's totient: 47,040
Sum of prime factors: 508

Primality

Prime factorization: 2 ⁵ × 7 × 491

Nearest primes: 109,961 (−23) · 109,987 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 112 · 224 · 491 · 982 · 1964 · 3437 · 3928 · 6874 · 7856 · 13748 · 15712 · 27496 · 54992 (half) · 109984

Aliquot sum (sum of proper divisors): 137,984

Factor pairs (a × b = 109,984)

1 × 109984

2 × 54992

4 × 27496

7 × 15712

8 × 13748

14 × 7856

16 × 6874

28 × 3928

32 × 3437

56 × 1964

112 × 982

224 × 491

First multiples

109,984 · 219,968 (double) · 329,952 · 439,936 · 549,920 · 659,904 · 769,888 · 879,872 · 989,856 · 1,099,840

Sums & aliquot sequence

As consecutive integers: 15,709 + 15,710 + … + 15,715 1,687 + 1,688 + … + 1,750 22 + 23 + … + 469

Aliquot sequence: 109,984 → 137,984 → 211,540 → 296,492 → 296,548 → 349,832 → 399,928 → 349,952 → 349,096 → 365,144 → 372,376 → 335,024 → 314,116 → 300,764 → 256,660 → 297,236 → 250,444 — unresolved within range

Continued fraction of √n

√109,984 = [331; (1, 1, 1, 3, 3, 1, 6, 1, 6, 26, 2, 1, 1, 2, 6, 18, 3, 1, 2, 1, 3, 2, 3, 1, …)]

Representations

In words: one hundred nine thousand nine hundred eighty-four
Ordinal: 109984th
Binary: 11010110110100000
Octal: 326640
Hexadecimal: 0x1ADA0
Base64: Aa2g
One's complement: 4,294,857,311 (32-bit)
Scientific notation: 1.09984 × 10⁵
As a duration: 109,984 s = 1 day, 6 hours, 33 minutes, 4 seconds

In other bases

ternary (3) 12120212111

quaternary (4) 122312200

quinary (5) 12004414

senary (6) 2205104

septenary (7) 635440

nonary (9) 176774

undecimal (11) 756a6

duodecimal (12) 53794

tridecimal (13) 3b0a4

tetradecimal (14) 2c120

pentadecimal (15) 228c4

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρθϡπδʹ
Mayan (base 20): 𝋭·𝋮·𝋳·𝋤
Chinese: 一十萬九千九百八十四
Chinese (financial): 壹拾萬玖仟玖佰捌拾肆

In other modern scripts

Eastern Arabic ١٠٩٩٨٤ Devanagari १०९९८४ Bengali ১০৯৯৮৪ Tamil ௧௦௯௯௮௪ Thai ๑๐๙๙๘๔ Tibetan ༡༠༩༩༨༤ Khmer ១០៩៩៨៤ Lao ໑໐໙໙໘໔ Burmese ၁၀၉၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 109984, here are decompositions:

23 + 109961 = 109984
41 + 109943 = 109984
47 + 109937 = 109984
71 + 109913 = 109984
101 + 109883 = 109984
137 + 109847 = 109984
191 + 109793 = 109984
233 + 109751 = 109984

Showing the first eight; more decompositions exist.

Hex color

#01ADA0

RGB(1, 173, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.173.160.

Address: 0.1.173.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.173.160

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 109,984 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 US109,984 on Google Patents ↗ Look up on USPTO ↗