Live analysis

117,072

117,072 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.).

117,072 (one hundred seventeen thousand seventy-two) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3³ × 271. Its proper divisors sum to 220,208, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C950.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

117,060 117,061 117,062 117,063 117,064 117,065 117,066 117,067 117,068 117,069 117,070 117,071 117,072 117,073 117,074 117,075 117,076 117,077 117,078 117,079 117,080 117,081 117,082 117,083 117,084

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 270,711
Square (n²): 13,705,853,184
Cube (n³): 1,604,571,643,957,248
Divisor count: 40
σ(n) — sum of divisors: 337,280
φ(n) — Euler's totient: 38,880
Sum of prime factors: 288

Primality

Prime factorization: 2 ⁴ × 3 ³ × 271

Nearest primes: 117,071 (−1) · 117,101 (+29)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 36 · 48 · 54 · 72 · 108 · 144 · 216 · 271 · 432 · 542 · 813 · 1084 · 1626 · 2168 · 2439 · 3252 · 4336 · 4878 · 6504 · 7317 · 9756 · 13008 · 14634 · 19512 · 29268 · 39024 · 58536 (half) · 117072

Aliquot sum (sum of proper divisors): 220,208

Factor pairs (a × b = 117,072)

1 × 117072

2 × 58536

3 × 39024

4 × 29268

6 × 19512

8 × 14634

9 × 13008

12 × 9756

16 × 7317

18 × 6504

24 × 4878

27 × 4336

36 × 3252

48 × 2439

54 × 2168

72 × 1626

108 × 1084

144 × 813

216 × 542

271 × 432

First multiples

117,072 · 234,144 (double) · 351,216 · 468,288 · 585,360 · 702,432 · 819,504 · 936,576 · 1,053,648 · 1,170,720

Sums & aliquot sequence

As consecutive integers: 39,023 + 39,024 + 39,025 13,004 + 13,005 + … + 13,012 4,323 + 4,324 + … + 4,349 3,643 + 3,644 + … + 3,674

Aliquot sequence: 117,072 → 220,208 → 206,476 → 163,964 → 125,836 → 96,876 → 187,716 → 250,316 → 227,644 → 170,740 → 187,856 → 184,144 → 194,180 → 303,100 → 450,324 → 851,340 → 1,874,292 — unresolved within range

Continued fraction of √n

√117,072 = [342; (6, 2, 1, 75, 2, 1, 5, 1, 2, 75, 1, 2, 6, 684)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one hundred seventeen thousand seventy-two
Ordinal: 117072nd
Binary: 11100100101010000
Octal: 344520
Hexadecimal: 0x1C950
Base64: AclQ
One's complement: 4,294,850,223 (32-bit)
Scientific notation: 1.17072 × 10⁵
As a duration: 117,072 s = 1 day, 8 hours, 31 minutes, 12 seconds

In other bases

ternary (3) 12221121000

quaternary (4) 130211100

quinary (5) 12221242

senary (6) 2302000

septenary (7) 665214

nonary (9) 187530

undecimal (11) 7aa5a

duodecimal (12) 57900

tridecimal (13) 41397

tetradecimal (14) 30944

pentadecimal (15) 24a4c

As an angle

117,072° = 325 × 360° + 72°

72° ≈ 1.257 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ριζοβʹ
Mayan (base 20): 𝋮·𝋬·𝋭·𝋬
Chinese: 一十一萬七千零七十二
Chinese (financial): 壹拾壹萬柒仟零柒拾貳

In other modern scripts

Eastern Arabic ١١٧٠٧٢ Devanagari ११७०७२ Bengali ১১৭০৭২ Tamil ௧௧௭௦௭௨ Thai ๑๑๗๐๗๒ Tibetan ༡༡༧༠༧༢ Khmer ១១៧០៧២ Lao ໑໑໗໐໗໒ Burmese ၁၁၇၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117072, here are decompositions:

19 + 117053 = 117072
29 + 117043 = 117072
31 + 117041 = 117072
79 + 116993 = 117072
83 + 116989 = 117072
103 + 116969 = 117072
113 + 116959 = 117072
139 + 116933 = 117072

Showing the first eight; more decompositions exist.

Hex color

#01C950

RGB(1, 201, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.80.

Address: 0.1.201.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.201.80

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 117,072 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 US117,072 on Google Patents ↗ Look up on USPTO ↗