Live analysis

113,442

113,442 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.).

113,442 (one hundred thirteen thousand four hundred forty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 37 × 73. Its proper divisors sum to 156,510, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BB22.

Abundant Number Arithmetic Number Cube-Free Odious Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

113,430 113,431 113,432 113,433 113,434 113,435 113,436 113,437 113,438 113,439 113,440 113,441 113,442 113,443 113,444 113,445 113,446 113,447 113,448 113,449 113,450 113,451 113,452 113,453 113,454

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Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 96
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 244,311
Recamán's sequence: a(53,495) = 113,442
Square (n²): 12,869,087,364
Cube (n³): 1,459,895,008,746,888
Divisor count: 32
σ(n) — sum of divisors: 269,952
φ(n) — Euler's totient: 31,104
Sum of prime factors: 122

Primality

Prime factorization: 2 × 3 × 7 × 37 × 73

Nearest primes: 113,437 (−5) · 113,453 (+11)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 7 · 14 · 21 · 37 · 42 · 73 · 74 · 111 · 146 · 219 · 222 · 259 · 438 · 511 · 518 · 777 · 1022 · 1533 · 1554 · 2701 · 3066 · 5402 · 8103 · 16206 · 18907 · 37814 · 56721 (half) · 113442

Aliquot sum (sum of proper divisors): 156,510

Factor pairs (a × b = 113,442)

1 × 113442

2 × 56721

3 × 37814

6 × 18907

7 × 16206

14 × 8103

21 × 5402

37 × 3066

42 × 2701

73 × 1554

74 × 1533

111 × 1022

146 × 777

219 × 518

222 × 511

259 × 438

First multiples

113,442 · 226,884 (double) · 340,326 · 453,768 · 567,210 · 680,652 · 794,094 · 907,536 · 1,020,978 · 1,134,420

Sums & aliquot sequence

As consecutive integers: 37,813 + 37,814 + 37,815 28,359 + 28,360 + 28,361 + 28,362 16,203 + 16,204 + … + 16,209 9,448 + 9,449 + … + 9,459

Aliquot sequence: 113,442 → 156,510 → 270,306 → 315,396 → 481,946 → 251,098 → 127,910 → 102,346 → 53,498 → 30,310 → 32,186 → 31,654 → 29,906 → 17,374 → 14,594 → 7,300 → 8,758 — unresolved within range

Continued fraction of √n

√113,442 = [336; (1, 4, 3, 3, 1, 2, 16, 14, 1, 1, 2, 1, 1, 14, 16, 2, 1, 3, 3, 4, 1, 672)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: one hundred thirteen thousand four hundred forty-two
Ordinal: 113442nd
Binary: 11011101100100010
Octal: 335442
Hexadecimal: 0x1BB22
Base64: Absi
One's complement: 4,294,853,853 (32-bit)
Scientific notation: 1.13442 × 10⁵
As a duration: 113,442 s = 1 day, 7 hours, 30 minutes, 42 seconds

In other bases

ternary (3) 12202121120

quaternary (4) 123230202

quinary (5) 12112232

senary (6) 2233110

septenary (7) 651510

nonary (9) 182546

undecimal (11) 7825a

duodecimal (12) 55796

tridecimal (13) 3c834

tetradecimal (14) 2d4b0

pentadecimal (15) 2392c

As an angle

113,442° = 315 × 360° + 42°

42° ≈ 0.733 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ριγυμβʹ
Mayan (base 20): 𝋮·𝋣·𝋬·𝋢
Chinese: 一十一萬三千四百四十二
Chinese (financial): 壹拾壹萬參仟肆佰肆拾貳

In other modern scripts

Eastern Arabic ١١٣٤٤٢ Devanagari ११३४४२ Bengali ১১৩৪৪২ Tamil ௧௧௩௪௪௨ Thai ๑๑๓๔๔๒ Tibetan ༡༡༣༤༤༢ Khmer ១១៣៤៤២ Lao ໑໑໓໔໔໒ Burmese ၁၁၃၄၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113442, here are decompositions:

5 + 113437 = 113442
59 + 113383 = 113442
61 + 113381 = 113442
71 + 113371 = 113442
79 + 113363 = 113442
83 + 113359 = 113442
101 + 113341 = 113442
113 + 113329 = 113442

Showing the first eight; more decompositions exist.

Hex color

#01BB22

RGB(1, 187, 34)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.34.

Address: 0.1.187.34
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.187.34

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 113,442 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 US113,442 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 113442 first appears in π at position 804,461 of the decimal expansion (the 804,461ordinal-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 113442 on Pi Search ↗