Live analysis

113,742

113,742 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.).

113,742 (one hundred thirteen thousand seven hundred forty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 71 × 89. Its proper divisors sum to 138,978, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BC4E.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

113,730 113,731 113,732 113,733 113,734 113,735 113,736 113,737 113,738 113,739 113,740 113,741 113,742 113,743 113,744 113,745 113,746 113,747 113,748 113,749 113,750 113,751 113,752 113,753 113,754

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 168
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 247,311
Recamán's sequence: a(56,275) = 113,742
Square (n²): 12,937,242,564
Cube (n³): 1,471,507,843,714,488
Divisor count: 24
σ(n) — sum of divisors: 252,720
φ(n) — Euler's totient: 36,960
Sum of prime factors: 168

Primality

Prime factorization: 2 × 3 ² × 71 × 89

Nearest primes: 113,731 (−11) · 113,749 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 6 · 9 · 18 · 71 · 89 · 142 · 178 · 213 · 267 · 426 · 534 · 639 · 801 · 1278 · 1602 · 6319 · 12638 · 18957 · 37914 · 56871 (half) · 113742

Aliquot sum (sum of proper divisors): 138,978

Factor pairs (a × b = 113,742)

1 × 113742

2 × 56871

3 × 37914

6 × 18957

9 × 12638

18 × 6319

71 × 1602

89 × 1278

142 × 801

178 × 639

213 × 534

267 × 426

First multiples

113,742 · 227,484 (double) · 341,226 · 454,968 · 568,710 · 682,452 · 796,194 · 909,936 · 1,023,678 · 1,137,420

Sums & aliquot sequence

As consecutive integers: 37,913 + 37,914 + 37,915 28,434 + 28,435 + 28,436 + 28,437 12,634 + 12,635 + … + 12,642 9,473 + 9,474 + … + 9,484

Aliquot sequence: 113,742 → 138,978 → 205,470 → 343,170 → 624,510 → 1,065,906 → 1,302,894 → 1,520,082 → 1,773,468 → 2,824,692 → 4,654,668 → 6,845,604 → 9,127,500 → 17,507,724 → 27,685,956 → 36,914,636 → 33,558,844 — unresolved within range

Continued fraction of √n

√113,742 = [337; (3, 1, 8, 1, 3, 674)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words: one hundred thirteen thousand seven hundred forty-two
Ordinal: 113742nd
Binary: 11011110001001110
Octal: 336116
Hexadecimal: 0x1BC4E
Base64: AbxO
One's complement: 4,294,853,553 (32-bit)
Scientific notation: 1.13742 × 10⁵
As a duration: 113,742 s = 1 day, 7 hours, 35 minutes, 42 seconds

In other bases

ternary (3) 12210000200

quaternary (4) 123301032

quinary (5) 12114432

senary (6) 2234330

septenary (7) 652416

nonary (9) 183020

undecimal (11) 78502

duodecimal (12) 559a6

tridecimal (13) 3ca05

tetradecimal (14) 2d646

pentadecimal (15) 23a7c

As an angle

113,742° = 315 × 360° + 342°

342° ≈ 5.969 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ριγψμβʹ
Mayan (base 20): 𝋮·𝋤·𝋧·𝋢
Chinese: 一十一萬三千七百四十二
Chinese (financial): 壹拾壹萬參仟柒佰肆拾貳

In other modern scripts

Eastern Arabic ١١٣٧٤٢ Devanagari ११३७४२ Bengali ১১৩৭৪২ Tamil ௧௧௩௭௪௨ Thai ๑๑๓๗๔๒ Tibetan ༡༡༣༧༤༢ Khmer ១១៣៧៤២ Lao ໑໑໓໗໔໒ Burmese ၁၁၃၇၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113742, here are decompositions:

11 + 113731 = 113742
19 + 113723 = 113742
23 + 113719 = 113742
59 + 113683 = 113742
151 + 113591 = 113742
229 + 113513 = 113742
241 + 113501 = 113742
359 + 113383 = 113742

Showing the first eight; more decompositions exist.

Unicode codepoint

𛱎

Duployan Letter Sloan Ee

U+1BC4E

Other letter (Lo)

UTF-8 encoding: F0 9B B1 8E (4 bytes).

Lookup U+1BC4E on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#01BC4E

RGB(1, 188, 78)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.78.

Address: 0.1.188.78
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.188.78

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 113,742 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 US113,742 on Google Patents ↗ Look up on USPTO ↗