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117,488

117,488 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.).

117,488 (one hundred seventeen thousand four hundred eighty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 1,049. Its proper divisors sum to 142,912, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CAF0.

Abundant Number Arithmetic Number Odious Number Self Number Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
1,792
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
884,711
Square (n²)
13,803,430,144
Cube (n³)
1,621,737,400,758,272
Divisor count
20
σ(n) — sum of divisors
260,400
φ(n) — Euler's totient
50,304
Sum of prime factors
1,064

Primality

Prime factorization: 2 4 × 7 × 1049

Nearest primes: 117,443 (−45) · 117,497 (+9)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 112 · 1049 · 2098 · 4196 · 7343 · 8392 · 14686 · 16784 · 29372 · 58744 (half) · 117488
Aliquot sum (sum of proper divisors): 142,912
Factor pairs (a × b = 117,488)
1 × 117488
2 × 58744
4 × 29372
7 × 16784
8 × 14686
14 × 8392
16 × 7343
28 × 4196
56 × 2098
112 × 1049
First multiples
117,488 · 234,976 (double) · 352,464 · 469,952 · 587,440 · 704,928 · 822,416 · 939,904 · 1,057,392 · 1,174,880

Sums & aliquot sequence

As consecutive integers: 16,781 + 16,782 + … + 16,787 3,656 + 3,657 + … + 3,687 413 + 414 + … + 636
Aliquot sequence: 117,488 142,912 222,848 221,362 110,684 117,796 122,402 91,348 72,704 74,680 93,440 133,444 103,800 219,840 481,200 1,064,088 1,818,012 — unresolved within range

Continued fraction of √n

√117,488 = [342; (1, 3, 3, 1, 5, 1, 8, 5, 1, 20, 1, 1, 2, 2, 1, 1, 5, 5, 1, 2, 1, 2, 2, 42, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand four hundred eighty-eight
Ordinal
117488th
Binary
11100101011110000
Octal
345360
Hexadecimal
0x1CAF0
Base64
Acrw
One's complement
4,294,849,807 (32-bit)
Scientific notation
1.17488 × 10⁵
As a duration
117,488 s = 1 day, 8 hours, 38 minutes, 8 seconds
In other bases
ternary (3) 12222011102
quaternary (4) 130223300
quinary (5) 12224423
senary (6) 2303532
septenary (7) 666350
nonary (9) 188142
undecimal (11) 802a8
duodecimal (12) 57ba8
tridecimal (13) 41627
tetradecimal (14) 30b60
pentadecimal (15) 24c28

As an angle

117,488° = 326 × 360° + 128°
128° ≈ 2.234 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζυπηʹ
Mayan (base 20)
𝋮·𝋭·𝋮·𝋨
Chinese
一十一萬七千四百八十八
Chinese (financial)
壹拾壹萬柒仟肆佰捌拾捌
In other modern scripts
Eastern Arabic ١١٧٤٨٨ Devanagari ११७४८८ Bengali ১১৭৪৮৮ Tamil ௧௧௭௪௮௮ Thai ๑๑๗๔๘๘ Tibetan ༡༡༧༤༨༨ Khmer ១១៧៤៨៨ Lao ໑໑໗໔໘໘ Burmese ၁၁၇၄၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117488, here are decompositions:

  • 61 + 117427 = 117488
  • 127 + 117361 = 117488
  • 157 + 117331 = 117488
  • 181 + 117307 = 117488
  • 229 + 117259 = 117488
  • 379 + 117109 = 117488
  • 499 + 116989 = 117488
  • 577 + 116911 = 117488

Showing the first eight; more decompositions exist.

Hex color
#01CAF0
RGB(1, 202, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.202.240.

Address
0.1.202.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.202.240

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 117,488 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.