Live analysis

117,684

117,684 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.).

117,684 (one hundred seventeen thousand six hundred eighty-four) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 7 × 467. Its proper divisors sum to 223,020, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CBB4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

117,672 117,673 117,674 117,675 117,676 117,677 117,678 117,679 117,680 117,681 117,682 117,683 117,684 117,685 117,686 117,687 117,688 117,689 117,690 117,691 117,692 117,693 117,694 117,695 117,696

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Properties

Parity: Even
Digit count: 6
Digit sum: 27
Digit product: 1,344
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 486,711
Square (n²): 13,849,523,856
Cube (n³): 1,629,867,365,469,504
Divisor count: 36
σ(n) — sum of divisors: 340,704
φ(n) — Euler's totient: 33,552
Sum of prime factors: 484

Primality

Prime factorization: 2 ² × 3 ² × 7 × 467

Nearest primes: 117,679 (−5) · 117,701 (+17)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 7 · 9 · 12 · 14 · 18 · 21 · 28 · 36 · 42 · 63 · 84 · 126 · 252 · 467 · 934 · 1401 · 1868 · 2802 · 3269 · 4203 · 5604 · 6538 · 8406 · 9807 · 13076 · 16812 · 19614 · 29421 · 39228 · 58842 (half) · 117684

Aliquot sum (sum of proper divisors): 223,020

Factor pairs (a × b = 117,684)

1 × 117684

2 × 58842

3 × 39228

4 × 29421

6 × 19614

7 × 16812

9 × 13076

12 × 9807

14 × 8406

18 × 6538

21 × 5604

28 × 4203

36 × 3269

42 × 2802

63 × 1868

84 × 1401

126 × 934

252 × 467

First multiples

117,684 · 235,368 (double) · 353,052 · 470,736 · 588,420 · 706,104 · 823,788 · 941,472 · 1,059,156 · 1,176,840

Sums & aliquot sequence

As consecutive integers: 39,227 + 39,228 + 39,229 16,809 + 16,810 + … + 16,815 14,707 + 14,708 + … + 14,714 13,072 + 13,073 + … + 13,080

Aliquot sequence: 117,684 → 223,020 → 583,380 → 1,443,372 → 2,405,844 → 4,545,100 → 7,065,268 → 7,897,484 → 7,897,540 → 12,060,860 → 18,429,124 → 18,645,116 → 18,645,172 → 21,878,220 → 53,536,308 → 89,227,404 → 172,223,604 — unresolved within range

Continued fraction of √n

√117,684 = [343; (19, 1, 1, 1, 1, 26, 1, 5, 3, 42, 1, 1, 3, 3, 3, 1, 2, 2, 2, 1, 3, 3, 3, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: one hundred seventeen thousand six hundred eighty-four
Ordinal: 117684th
Binary: 11100101110110100
Octal: 345664
Hexadecimal: 0x1CBB4
Base64: Acu0
One's complement: 4,294,849,611 (32-bit)
Scientific notation: 1.17684 × 10⁵
As a duration: 117,684 s = 1 day, 8 hours, 41 minutes, 24 seconds

In other bases

ternary (3) 12222102200

quaternary (4) 130232310

quinary (5) 12231214

senary (6) 2304500

septenary (7) 1000050

nonary (9) 188380

undecimal (11) 80466

duodecimal (12) 58130

tridecimal (13) 41748

tetradecimal (14) 30c60

pentadecimal (15) 24d09

As an angle

117,684° = 326 × 360° + 324°

324° ≈ 5.655 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριζχπδʹ
Mayan (base 20): 𝋮·𝋮·𝋤·𝋤
Chinese: 一十一萬七千六百八十四
Chinese (financial): 壹拾壹萬柒仟陸佰捌拾肆

In other modern scripts

Eastern Arabic ١١٧٦٨٤ Devanagari ११७६८४ Bengali ১১৭৬৮৪ Tamil ௧௧௭௬௮௪ Thai ๑๑๗๖๘๔ Tibetan ༡༡༧༦༨༤ Khmer ១១៧៦៨៤ Lao ໑໑໗໖໘໔ Burmese ၁၁၇၆၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117684, here are decompositions:

5 + 117679 = 117684
11 + 117673 = 117684
13 + 117671 = 117684
41 + 117643 = 117684
67 + 117617 = 117684
107 + 117577 = 117684
113 + 117571 = 117684
167 + 117517 = 117684

Showing the first eight; more decompositions exist.

Hex color

#01CBB4

RGB(1, 203, 180)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.203.180.

Address: 0.1.203.180
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.203.180

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 117,684 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 US117,684 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 117684 first appears in π at position 133,141 of the decimal expansion (the 133,141ordinal-suffix:st digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 117684 on Pi Search ↗