Live analysis

116,742

116,742 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.).

116,742 (one hundred sixteen thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 19,457. Its proper divisors sum to 116,754, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C806.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

116,730 116,731 116,732 116,733 116,734 116,735 116,736 116,737 116,738 116,739 116,740 116,741 116,742 116,743 116,744 116,745 116,746 116,747 116,748 116,749 116,750 116,751 116,752 116,753 116,754

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 336
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 247,611
Square (n²): 13,628,694,564
Cube (n³): 1,591,041,060,790,488
Divisor count: 8
σ(n) — sum of divisors: 233,496
φ(n) — Euler's totient: 38,912
Sum of prime factors: 19,462

Primality

Prime factorization: 2 × 3 × 19457

Nearest primes: 116,741 (−1) · 116,747 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 19457 · 38914 · 58371 (half) · 116742

Aliquot sum (sum of proper divisors): 116,754

Factor pairs (a × b = 116,742)

1 × 116742

2 × 58371

3 × 38914

6 × 19457

First multiples

116,742 · 233,484 (double) · 350,226 · 466,968 · 583,710 · 700,452 · 817,194 · 933,936 · 1,050,678 · 1,167,420

Sums & aliquot sequence

As consecutive integers: 38,913 + 38,914 + 38,915 29,184 + 29,185 + 29,186 + 29,187 9,723 + 9,724 + … + 9,734

Aliquot sequence: 116,742 → 116,754 → 151,086 → 178,314 → 182,838 → 195,018 → 195,030 → 360,954 → 492,678 → 589,338 → 732,762 → 854,928 → 1,600,272 → 2,878,670 → 2,302,954 → 1,244,954 → 622,480 — unresolved within range

Continued fraction of √n

√116,742 = [341; (1, 2, 12, 1, 1, 3, 1, 2, 17, 1, 1, 1, 1, 1, 7, 3, 9, 3, 3, 1, 1, 1, 2, 4, …)]

Representations

In words: one hundred sixteen thousand seven hundred forty-two
Ordinal: 116742nd
Binary: 11100100000000110
Octal: 344006
Hexadecimal: 0x1C806
Base64: AcgG
One's complement: 4,294,850,553 (32-bit)
Scientific notation: 1.16742 × 10⁵
As a duration: 116,742 s = 1 day, 8 hours, 25 minutes, 42 seconds

In other bases

ternary (3) 12221010210

quaternary (4) 130200012

quinary (5) 12213432

senary (6) 2300250

septenary (7) 664233

nonary (9) 187123

undecimal (11) 7a78a

duodecimal (12) 57686

tridecimal (13) 411a2

tetradecimal (14) 3078a

pentadecimal (15) 248cc

As an angle

116,742° = 324 × 360° + 102°

102° ≈ 1.78 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ριϛψμβʹ
Mayan (base 20): 𝋮·𝋫·𝋱·𝋢
Chinese: 一十一萬六千七百四十二
Chinese (financial): 壹拾壹萬陸仟柒佰肆拾貳

In other modern scripts

Eastern Arabic ١١٦٧٤٢ Devanagari ११६७४२ Bengali ১১৬৭৪২ Tamil ௧௧௬௭௪௨ Thai ๑๑๖๗๔๒ Tibetan ༡༡༦༧༤༢ Khmer ១១៦៧៤២ Lao ໑໑໖໗໔໒ Burmese ၁၁၆၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116742, here are decompositions:

11 + 116731 = 116742
23 + 116719 = 116742
53 + 116689 = 116742
61 + 116681 = 116742
79 + 116663 = 116742
103 + 116639 = 116742
149 + 116593 = 116742
163 + 116579 = 116742

Showing the first eight; more decompositions exist.

Hex color

#01C806

RGB(1, 200, 6)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.200.6.

Address: 0.1.200.6
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.200.6

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 116,742 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 US116,742 on Google Patents ↗ Look up on USPTO ↗