Live analysis

116,748

116,748 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.).

116,748 (one hundred sixteen thousand seven hundred forty-eight) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2² × 3³ × 23 × 47. Its proper divisors sum to 205,812, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C80C.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

116,736 116,737 116,738 116,739 116,740 116,741 116,742 116,743 116,744 116,745 116,746 116,747 116,748 116,749 116,750 116,751 116,752 116,753 116,754 116,755 116,756 116,757 116,758 116,759 116,760

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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: 847,611
Square (n²): 13,630,095,504
Cube (n³): 1,591,286,389,900,992
Divisor count: 48
σ(n) — sum of divisors: 322,560
φ(n) — Euler's totient: 36,432
Sum of prime factors: 83

Primality

Prime factorization: 2 ² × 3 ³ × 23 × 47

Nearest primes: 116,747 (−1) · 116,789 (+41)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 23 · 27 · 36 · 46 · 47 · 54 · 69 · 92 · 94 · 108 · 138 · 141 · 188 · 207 · 276 · 282 · 414 · 423 · 564 · 621 · 828 · 846 · 1081 · 1242 · 1269 · 1692 · 2162 · 2484 · 2538 · 3243 · 4324 · 5076 · 6486 · 9729 · 12972 · 19458 · 29187 · 38916 · 58374 (half) · 116748

Aliquot sum (sum of proper divisors): 205,812

Factor pairs (a × b = 116,748)

1 × 116748

2 × 58374

3 × 38916

4 × 29187

6 × 19458

9 × 12972

12 × 9729

18 × 6486

23 × 5076

27 × 4324

36 × 3243

46 × 2538

47 × 2484

54 × 2162

69 × 1692

92 × 1269

94 × 1242

108 × 1081

138 × 846

141 × 828

188 × 621

207 × 564

276 × 423

282 × 414

First multiples

116,748 · 233,496 (double) · 350,244 · 466,992 · 583,740 · 700,488 · 817,236 · 933,984 · 1,050,732 · 1,167,480

Sums & aliquot sequence

As consecutive integers: 38,915 + 38,916 + 38,917 14,590 + 14,591 + … + 14,597 12,968 + 12,969 + … + 12,976 5,065 + 5,066 + … + 5,087

Aliquot sequence: 116,748 → 205,812 → 314,526 → 376,674 → 388,734 → 401,154 → 492,606 → 574,746 → 574,758 → 705,690 → 1,129,338 → 1,667,430 → 2,735,514 → 3,266,118 → 3,843,738 → 4,923,462 → 4,923,474 — unresolved within range

Continued fraction of √n

√116,748 = [341; (1, 2, 6, 18, 1, 4, 1, 2, 3, 75, 1, 1, 1, 2, 2, 170, 2, 2, 1, 1, 1, 75, 3, 2, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: one hundred sixteen thousand seven hundred forty-eight
Ordinal: 116748th
Binary: 11100100000001100
Octal: 344014
Hexadecimal: 0x1C80C
Base64: AcgM
One's complement: 4,294,850,547 (32-bit)
Scientific notation: 1.16748 × 10⁵
As a duration: 116,748 s = 1 day, 8 hours, 25 minutes, 48 seconds

In other bases

ternary (3) 12221011000

quaternary (4) 130200030

quinary (5) 12213443

senary (6) 2300300

septenary (7) 664242

nonary (9) 187130

undecimal (11) 7a795

duodecimal (12) 57690

tridecimal (13) 411a8

tetradecimal (14) 30792

pentadecimal (15) 248d3

As an angle

116,748° = 324 × 360° + 108°

108° ≈ 1.885 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριϛψμηʹ
Mayan (base 20): 𝋮·𝋫·𝋱·𝋨
Chinese: 一十一萬六千七百四十八
Chinese (financial): 壹拾壹萬陸仟柒佰肆拾捌

In other modern scripts

Eastern Arabic ١١٦٧٤٨ Devanagari ११६७४८ Bengali ১১৬৭৪৮ Tamil ௧௧௬௭௪௮ Thai ๑๑๖๗๔๘ Tibetan ༡༡༦༧༤༨ Khmer ១១៦៧៤៨ Lao ໑໑໖໗໔໘ Burmese ၁၁၆၇၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116748, here are decompositions:

7 + 116741 = 116748
17 + 116731 = 116748
29 + 116719 = 116748
41 + 116707 = 116748
59 + 116689 = 116748
61 + 116687 = 116748
67 + 116681 = 116748
109 + 116639 = 116748

Showing the first eight; more decompositions exist.

Hex color

#01C80C

RGB(1, 200, 12)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.200.12.

Address: 0.1.200.12
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.200.12

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 116,748 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 US116,748 on Google Patents ↗ Look up on USPTO ↗