Live analysis

113,448

113,448 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.).

113,448 (one hundred thirteen thousand four hundred forty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 29 × 163. Its proper divisors sum to 181,752, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BB28.

Abundant Number Arithmetic Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

113,436 113,437 113,438 113,439 113,440 113,441 113,442 113,443 113,444 113,445 113,446 113,447 113,448 113,449 113,450 113,451 113,452 113,453 113,454 113,455 113,456 113,457 113,458 113,459 113,460

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 384
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 844,311
Recamán's sequence: a(53,655) = 113,448
Square (n²): 12,870,448,704
Cube (n³): 1,460,126,664,571,392
Divisor count: 32
σ(n) — sum of divisors: 295,200
φ(n) — Euler's totient: 36,288
Sum of prime factors: 201

Primality

Prime factorization: 2 ³ × 3 × 29 × 163

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

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 29 · 58 · 87 · 116 · 163 · 174 · 232 · 326 · 348 · 489 · 652 · 696 · 978 · 1304 · 1956 · 3912 · 4727 · 9454 · 14181 · 18908 · 28362 · 37816 · 56724 (half) · 113448

Aliquot sum (sum of proper divisors): 181,752

Factor pairs (a × b = 113,448)

1 × 113448

2 × 56724

3 × 37816

4 × 28362

6 × 18908

8 × 14181

12 × 9454

24 × 4727

29 × 3912

58 × 1956

87 × 1304

116 × 978

163 × 696

174 × 652

232 × 489

326 × 348

First multiples

113,448 · 226,896 (double) · 340,344 · 453,792 · 567,240 · 680,688 · 794,136 · 907,584 · 1,021,032 · 1,134,480

Sums & aliquot sequence

As consecutive integers: 37,815 + 37,816 + 37,817 7,083 + 7,084 + … + 7,098 3,898 + 3,899 + … + 3,926 2,340 + 2,341 + … + 2,387

Aliquot sequence: 113,448 → 181,752 → 272,688 → 560,592 → 1,107,828 → 1,692,606 → 1,692,618 → 1,692,630 → 2,821,770 → 5,783,670 → 10,160,010 → 20,031,606 → 29,570,778 → 41,450,022 → 52,808,538 → 53,778,822 → 54,554,298 — unresolved within range

Continued fraction of √n

√113,448 = [336; (1, 4, 1, 1, 3, 7, 2, 1, 2, 7, 3, 1, 1, 4, 1, 672)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one hundred thirteen thousand four hundred forty-eight
Ordinal: 113448th
Binary: 11011101100101000
Octal: 335450
Hexadecimal: 0x1BB28
Base64: Abso
One's complement: 4,294,853,847 (32-bit)
Scientific notation: 1.13448 × 10⁵
As a duration: 113,448 s = 1 day, 7 hours, 30 minutes, 48 seconds

In other bases

ternary (3) 12202121210

quaternary (4) 123230220

quinary (5) 12112243

senary (6) 2233120

septenary (7) 651516

nonary (9) 182553

undecimal (11) 78265

duodecimal (12) 557a0

tridecimal (13) 3c83a

tetradecimal (14) 2d4b6

pentadecimal (15) 23933

As an angle

113,448° = 315 × 360° + 48°

48° ≈ 0.838 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριγυμηʹ
Mayan (base 20): 𝋮·𝋣·𝋬·𝋨
Chinese: 一十一萬三千四百四十八
Chinese (financial): 壹拾壹萬參仟肆佰肆拾捌

In other modern scripts

Eastern Arabic ١١٣٤٤٨ Devanagari ११३४४८ Bengali ১১৩৪৪৮ Tamil ௧௧௩௪௪௮ Thai ๑๑๓๔๔๘ Tibetan ༡༡༣༤༤༨ Khmer ១១៣៤៤៨ Lao ໑໑໓໔໔໘ Burmese ၁၁၃၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113448, here are decompositions:

11 + 113437 = 113448
31 + 113417 = 113448
67 + 113381 = 113448
89 + 113359 = 113448
107 + 113341 = 113448
239 + 113209 = 113448
271 + 113177 = 113448
277 + 113171 = 113448

Showing the first eight; more decompositions exist.

Hex color

#01BB28

RGB(1, 187, 40)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.40.

Address: 0.1.187.40
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.187.40

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 113,448 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 US113,448 on Google Patents ↗ Look up on USPTO ↗