Live analysis

117,104

117,104 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.).

117,104 (one hundred seventeen thousand one hundred four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 13 × 563. Its proper divisors sum to 127,672, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C970.

Abundant Number Evil Number Happy Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

117,092 117,093 117,094 117,095 117,096 117,097 117,098 117,099 117,100 117,101 117,102 117,103 117,104 117,105 117,106 117,107 117,108 117,109 117,110 117,111 117,112 117,113 117,114 117,115 117,116

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Properties

Parity: Even
Digit count: 6
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 17 bits
Reversed: 401,711
Square (n²): 13,713,346,816
Cube (n³): 1,605,887,765,540,864
Divisor count: 20
σ(n) — sum of divisors: 244,776
φ(n) — Euler's totient: 53,952
Sum of prime factors: 584

Primality

Prime factorization: 2 ⁴ × 13 × 563

Nearest primes: 117,101 (−3) · 117,109 (+5)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 8 · 13 · 16 · 26 · 52 · 104 · 208 · 563 · 1126 · 2252 · 4504 · 7319 · 9008 · 14638 · 29276 · 58552 (half) · 117104

Aliquot sum (sum of proper divisors): 127,672

Factor pairs (a × b = 117,104)

1 × 117104

2 × 58552

4 × 29276

8 × 14638

13 × 9008

16 × 7319

26 × 4504

52 × 2252

104 × 1126

208 × 563

First multiples

117,104 · 234,208 (double) · 351,312 · 468,416 · 585,520 · 702,624 · 819,728 · 936,832 · 1,053,936 · 1,171,040

Sums & aliquot sequence

As consecutive integers: 9,002 + 9,003 + … + 9,014 3,644 + 3,645 + … + 3,675 74 + 75 + … + 489

Aliquot sequence: 117,104 → 127,672 → 111,728 → 104,776 → 119,864 → 104,896 → 123,704 → 147,136 → 190,684 → 189,556 → 142,174 → 74,474 → 42,166 → 23,354 → 11,680 → 16,292 → 12,226 — unresolved within range

Continued fraction of √n

√117,104 = [342; (4, 1, 7, 1, 6, 3, 6, 1, 7, 1, 4, 684)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one hundred seventeen thousand one hundred four
Ordinal: 117104th
Binary: 11100100101110000
Octal: 344560
Hexadecimal: 0x1C970
Base64: Aclw
One's complement: 4,294,850,191 (32-bit)
Scientific notation: 1.17104 × 10⁵
As a duration: 117,104 s = 1 day, 8 hours, 31 minutes, 44 seconds

In other bases

ternary (3) 12221122012

quaternary (4) 130211300

quinary (5) 12221404

senary (6) 2302052

septenary (7) 665261

nonary (9) 187565

undecimal (11) 7aa89

duodecimal (12) 57928

tridecimal (13) 413c0

tetradecimal (14) 30968

pentadecimal (15) 24a6e

As an angle

117,104° = 325 × 360° + 104°

104° ≈ 1.815 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριζρδʹ
Mayan (base 20): 𝋮·𝋬·𝋯·𝋤
Chinese: 一十一萬七千一百零四
Chinese (financial): 壹拾壹萬柒仟壹佰零肆

In other modern scripts

Eastern Arabic ١١٧١٠٤ Devanagari ११७१०४ Bengali ১১৭১০৪ Tamil ௧௧௭௧௦௪ Thai ๑๑๗๑๐๔ Tibetan ༡༡༧༡༠༤ Khmer ១១៧១០៤ Lao ໑໑໗໑໐໔ Burmese ၁၁၇၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117104, here are decompositions:

3 + 117101 = 117104
61 + 117043 = 117104
67 + 117037 = 117104
151 + 116953 = 117104
181 + 116923 = 117104
193 + 116911 = 117104
223 + 116881 = 117104
271 + 116833 = 117104

Showing the first eight; more decompositions exist.

Hex color

#01C970

RGB(1, 201, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.112.

Address: 0.1.201.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.201.112

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 117,104 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 US117,104 on Google Patents ↗ Look up on USPTO ↗