Live analysis

117,000

117,000 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.).

117,000 (one hundred seventeen thousand) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3² × 5³ × 13. Its proper divisors sum to 308,880, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C908.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

116,988 116,989 116,990 116,991 116,992 116,993 116,994 116,995 116,996 116,997 116,998 116,999 117,000 117,001 117,002 117,003 117,004 117,005 117,006 117,007 117,008 117,009 117,010 117,011 117,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 711
Square (n²): 13,689,000,000
Cube (n³): 1,601,613,000,000,000
Divisor count: 96
σ(n) — sum of divisors: 425,880
φ(n) — Euler's totient: 28,800
Sum of prime factors: 40

Primality

Prime factorization: 2 ³ × 3 ² × 5 ³ × 13

Nearest primes: 116,993 (−7) · 117,017 (+17)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 13 · 15 · 18 · 20 · 24 · 25 · 26 · 30 · 36 · 39 · 40 · 45 · 50 · 52 · 60 · 65 · 72 · 75 · 78 · 90 · 100 · 104 · 117 · 120 · 125 · 130 · 150 · 156 · 180 · 195 · 200 · 225 · 234 · 250 · 260 · 300 · 312 · 325 · 360 · 375 · 390 · 450 · 468 · 500 · 520 · 585 · 600 · 650 · 750 · 780 · 900 · 936 · 975 · 1000 · 1125 · 1170 · 1300 · 1500 · 1560 · 1625 · 1800 · 1950 · 2250 · 2340 · 2600 · 2925 · 3000 · 3250 · 3900 · 4500 · 4680 · 4875 · 5850 · 6500 · 7800 · 9000 · 9750 · 11700 · 13000 · 14625 · 19500 · 23400 · 29250 · 39000 · 58500 (half) · 117000

Aliquot sum (sum of proper divisors): 308,880

Factor pairs (a × b = 117,000)

1 × 117000

2 × 58500

3 × 39000

4 × 29250

5 × 23400

6 × 19500

8 × 14625

9 × 13000

10 × 11700

12 × 9750

13 × 9000

15 × 7800

18 × 6500

20 × 5850

24 × 4875

25 × 4680

26 × 4500

30 × 3900

36 × 3250

39 × 3000

40 × 2925

45 × 2600

50 × 2340

52 × 2250

60 × 1950

65 × 1800

72 × 1625

75 × 1560

78 × 1500

90 × 1300

100 × 1170

104 × 1125

117 × 1000

120 × 975

125 × 936

130 × 900

150 × 780

156 × 750

180 × 650

195 × 600

200 × 585

225 × 520

234 × 500

250 × 468

260 × 450

300 × 390

312 × 375

325 × 360

First multiples

117,000 · 234,000 (double) · 351,000 · 468,000 · 585,000 · 702,000 · 819,000 · 936,000 · 1,053,000 · 1,170,000

Sums & aliquot sequence

As a sum of two squares: 6² + 342² = 90² + 330² = 126² + 318² = 210² + 270²

As consecutive integers: 38,999 + 39,000 + 39,001 23,398 + 23,399 + 23,400 + 23,401 + 23,402 12,996 + 12,997 + … + 13,004 8,994 + 8,995 + … + 9,006

Aliquot sequence: 117,000 → 308,880 → 941,040 → 2,221,704 → 3,909,096 → 6,678,234 → 9,680,166 → 11,293,566 → 11,548,434 → 11,874,606 → 11,874,618 → 17,955,078 → 17,955,090 → 28,728,378 → 44,233,542 → 51,733,602 → 60,355,908 — unresolved within range

Continued fraction of √n

√117,000 = [342; (19, 684)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one hundred seventeen thousand
Ordinal: 117000th
Binary: 11100100100001000
Octal: 344410
Hexadecimal: 0x1C908
Base64: AckI
One's complement: 4,294,850,295 (32-bit)
Scientific notation: 1.17 × 10⁵
As a duration: 117,000 s = 1 day, 8 hours, 30 minutes

In other bases

ternary (3) 12221111100

quaternary (4) 130210020

quinary (5) 12221000

senary (6) 2301400

septenary (7) 665052

nonary (9) 187440

undecimal (11) 7a9a4

duodecimal (12) 57860

tridecimal (13) 41340

tetradecimal (14) 308d2

pentadecimal (15) 24a00

As an angle

117,000° = 325 × 360°

0° ≈ 0 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋 ·
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Greek (Milesian): ͵ριζ
Mayan (base 20): 𝋮·𝋬·𝋪·𝋠
Chinese: 一十一萬七千
Chinese (financial): 壹拾壹萬柒仟

In other modern scripts

Eastern Arabic ١١٧٠٠٠ Devanagari ११७००० Bengali ১১৭০০০ Tamil ௧௧௭௦௦௦ Thai ๑๑๗๐๐๐ Tibetan ༡༡༧༠༠༠ Khmer ១១៧០០០ Lao ໑໑໗໐໐໐ Burmese ၁၁၇၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117000, here are decompositions:

7 + 116993 = 117000
11 + 116989 = 117000
19 + 116981 = 117000
31 + 116969 = 117000
41 + 116959 = 117000
47 + 116953 = 117000
67 + 116933 = 117000
71 + 116929 = 117000

Showing the first eight; more decompositions exist.

Hex color

#01C908

RGB(1, 201, 8)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.8.

Address: 0.1.201.8
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.201.8

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 117,000 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 US117,000 on Google Patents ↗ Look up on USPTO ↗