Live analysis

107,742

107,742 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.).

107,742 (one hundred seven thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 17,957. Its proper divisors sum to 107,754, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A4DE.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

107,730 107,731 107,732 107,733 107,734 107,735 107,736 107,737 107,738 107,739 107,740 107,741 107,742 107,743 107,744 107,745 107,746 107,747 107,748 107,749 107,750 107,751 107,752 107,753 107,754

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 247,701
Square (n²): 11,608,338,564
Cube (n³): 1,250,705,613,562,488
Divisor count: 8
σ(n) — sum of divisors: 215,496
φ(n) — Euler's totient: 35,912
Sum of prime factors: 17,962

Primality

Prime factorization: 2 × 3 × 17957

Nearest primes: 107,741 (−1) · 107,747 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 17957 · 35914 · 53871 (half) · 107742

Aliquot sum (sum of proper divisors): 107,754

Factor pairs (a × b = 107,742)

1 × 107742

2 × 53871

3 × 35914

6 × 17957

First multiples

107,742 · 215,484 (double) · 323,226 · 430,968 · 538,710 · 646,452 · 754,194 · 861,936 · 969,678 · 1,077,420

Sums & aliquot sequence

As consecutive integers: 35,913 + 35,914 + 35,915 26,934 + 26,935 + 26,936 + 26,937 8,973 + 8,974 + … + 8,984

Aliquot sequence: 107,742 → 107,754 → 107,766 → 125,766 → 172,314 → 210,726 → 266,634 → 311,112 → 566,388 → 865,406 → 445,618 → 229,994 → 115,000 → 166,160 → 238,576 → 289,168 → 353,648 — unresolved within range

Continued fraction of √n

√107,742 = [328; (4, 6, 1, 1, 13, 2, 3, 9, 1, 1, 22, 8, 1, 18, 2, 2, 1, 1, 2, 1, 1, 1, 1, 12, …)]

Representations

In words: one hundred seven thousand seven hundred forty-two
Ordinal: 107742nd
Binary: 11010010011011110
Octal: 322336
Hexadecimal: 0x1A4DE
Base64: AaTe
One's complement: 4,294,859,553 (32-bit)
Scientific notation: 1.07742 × 10⁵
As a duration: 107,742 s = 1 day, 5 hours, 55 minutes, 42 seconds

In other bases

ternary (3) 12110210110

quaternary (4) 122103132

quinary (5) 11421432

senary (6) 2150450

septenary (7) 626055

nonary (9) 173713

undecimal (11) 73a48

duodecimal (12) 52426

tridecimal (13) 3a06b

tetradecimal (14) 2b39c

pentadecimal (15) 21dcc

As an angle

107,742° = 299 × 360° + 102°

102° ≈ 1.78 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρζψμβʹ
Mayan (base 20): 𝋭·𝋩·𝋧·𝋢
Chinese: 十萬七千七百四十二
Chinese (financial): 壹拾萬柒仟柒佰肆拾貳

In other modern scripts

Eastern Arabic ١٠٧٧٤٢ Devanagari १०७७४२ Bengali ১০৭৭৪২ Tamil ௧௦௭௭௪௨ Thai ๑๐๗๗๔๒ Tibetan ༡༠༧༧༤༢ Khmer ១០៧៧៤២ Lao ໑໐໗໗໔໒ Burmese ၁၀၇၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107742, here are decompositions:

23 + 107719 = 107742
29 + 107713 = 107742
43 + 107699 = 107742
71 + 107671 = 107742
101 + 107641 = 107742
139 + 107603 = 107742
179 + 107563 = 107742
233 + 107509 = 107742

Showing the first eight; more decompositions exist.

Hex color

#01A4DE

RGB(1, 164, 222)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.164.222.

Address: 0.1.164.222
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.164.222

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 107,742 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US107,742 on Google Patents ↗ Look up on USPTO ↗