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117,416

117,416 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.).

117,416 (one hundred seventeen thousand four hundred sixteen) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 13 × 1,129. Its proper divisors sum to 119,884, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CAA8.

Abundant Number Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
168
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
614,711
Square (n²)
13,786,517,056
Cube (n³)
1,618,757,686,647,296
Divisor count
16
σ(n) — sum of divisors
237,300
φ(n) — Euler's totient
54,144
Sum of prime factors
1,148

Primality

Prime factorization: 2 3 × 13 × 1129

Nearest primes: 117,413 (−3) · 117,427 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 13 · 26 · 52 · 104 · 1129 · 2258 · 4516 · 9032 · 14677 · 29354 · 58708 (half) · 117416
Aliquot sum (sum of proper divisors): 119,884
Factor pairs (a × b = 117,416)
1 × 117416
2 × 58708
4 × 29354
8 × 14677
13 × 9032
26 × 4516
52 × 2258
104 × 1129
First multiples
117,416 · 234,832 (double) · 352,248 · 469,664 · 587,080 · 704,496 · 821,912 · 939,328 · 1,056,744 · 1,174,160

Sums & aliquot sequence

As a sum of two squares: 146² + 310² = 230² + 254²
As consecutive integers: 9,026 + 9,027 + … + 9,038 7,331 + 7,332 + … + 7,346 461 + 462 + … + 668
Aliquot sequence: 117,416 119,884 112,964 91,324 80,596 60,454 31,274 18,166 10,058 5,494 3,074 1,786 1,094 550 566 286 218 — unresolved within range

Continued fraction of √n

√117,416 = [342; (1, 1, 1, 16, 2, 6, 1, 26, 1, 1, 4, 1, 7, 1, 5, 1, 28, 1, 16, 6, 171, 6, 16, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand four hundred sixteen
Ordinal
117416th
Binary
11100101010101000
Octal
345250
Hexadecimal
0x1CAA8
Base64
Acqo
One's complement
4,294,849,879 (32-bit)
Scientific notation
1.17416 × 10⁵
As a duration
117,416 s = 1 day, 8 hours, 36 minutes, 56 seconds
In other bases
ternary (3) 12222001202
quaternary (4) 130222220
quinary (5) 12224131
senary (6) 2303332
septenary (7) 666215
nonary (9) 188052
undecimal (11) 80242
duodecimal (12) 57b48
tridecimal (13) 415a0
tetradecimal (14) 30b0c
pentadecimal (15) 24bcb

As an angle

117,416° = 326 × 360° + 56°
56° ≈ 0.977 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζυιϛʹ
Mayan (base 20)
𝋮·𝋭·𝋪·𝋰
Chinese
一十一萬七千四百一十六
Chinese (financial)
壹拾壹萬柒仟肆佰壹拾陸
In other modern scripts
Eastern Arabic ١١٧٤١٦ Devanagari ११७४१६ Bengali ১১৭৪১৬ Tamil ௧௧௭௪௧௬ Thai ๑๑๗๔๑๖ Tibetan ༡༡༧༤༡༦ Khmer ១១៧៤១៦ Lao ໑໑໗໔໑໖ Burmese ၁၁၇၄၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117416, here are decompositions:

  • 3 + 117413 = 117416
  • 43 + 117373 = 117416
  • 97 + 117319 = 117416
  • 109 + 117307 = 117416
  • 157 + 117259 = 117416
  • 193 + 117223 = 117416
  • 223 + 117193 = 117416
  • 283 + 117133 = 117416

Showing the first eight; more decompositions exist.

Hex color
#01CAA8
RGB(1, 202, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.202.168.

Address
0.1.202.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.202.168

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 117,416 and was likely granted around 1871.

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

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.