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113,948

113,948 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.).

113,948 (one hundred thirteen thousand nine hundred forty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 61 × 467. Written other ways, in hexadecimal, 0x1BD1C.

Arithmetic Number Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
864
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
849,311
Recamán's sequence
a(56,683) = 113,948
Square (n²)
12,984,146,704
Cube (n³)
1,479,517,548,627,392
Divisor count
12
σ(n) — sum of divisors
203,112
φ(n) — Euler's totient
55,920
Sum of prime factors
532

Primality

Prime factorization: 2 2 × 61 × 467

Nearest primes: 113,947 (−1) · 113,957 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 61 · 122 · 244 · 467 · 934 · 1868 · 28487 · 56974 (half) · 113948
Aliquot sum (sum of proper divisors): 89,164
Factor pairs (a × b = 113,948)
1 × 113948
2 × 56974
4 × 28487
61 × 1868
122 × 934
244 × 467
First multiples
113,948 · 227,896 (double) · 341,844 · 455,792 · 569,740 · 683,688 · 797,636 · 911,584 · 1,025,532 · 1,139,480

Sums & aliquot sequence

As consecutive integers: 14,240 + 14,241 + … + 14,247 1,838 + 1,839 + … + 1,898 11 + 12 + … + 477
Aliquot sequence: 113,948 89,164 66,880 116,000 178,840 248,840 311,140 358,172 273,844 209,100 447,108 702,012 1,022,788 1,052,432 986,686 497,594 248,800 — unresolved within range

Continued fraction of √n

√113,948 = [337; (1, 1, 3, 1, 1, 5, 2, 2, 2, 1, 11, 2, 1, 6, 3, 1, 1, 12, 2, 2, 2, 3, 35, 4, …)]

Representations

In words
one hundred thirteen thousand nine hundred forty-eight
Ordinal
113948th
Binary
11011110100011100
Octal
336434
Hexadecimal
0x1BD1C
Base64
Ab0c
One's complement
4,294,853,347 (32-bit)
Scientific notation
1.13948 × 10⁵
As a duration
113,948 s = 1 day, 7 hours, 39 minutes, 8 seconds
In other bases
ternary (3) 12210022022
quaternary (4) 123310130
quinary (5) 12121243
senary (6) 2235312
septenary (7) 653132
nonary (9) 183268
undecimal (11) 7867a
duodecimal (12) 55b38
tridecimal (13) 3cb33
tetradecimal (14) 2d752
pentadecimal (15) 23b68

As an angle

113,948° = 316 × 360° + 188°
188° ≈ 3.281 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγϡμηʹ
Mayan (base 20)
𝋮·𝋤·𝋱·𝋨
Chinese
一十一萬三千九百四十八
Chinese (financial)
壹拾壹萬參仟玖佰肆拾捌
In other modern scripts
Eastern Arabic ١١٣٩٤٨ Devanagari ११३९४८ Bengali ১১৩৯৪৮ Tamil ௧௧௩௯௪௮ Thai ๑๑๓๙๔๘ Tibetan ༡༡༣༩༤༨ Khmer ១១៣៩៤៨ Lao ໑໑໓໙໔໘ Burmese ၁၁၃၉၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113948, here are decompositions:

  • 139 + 113809 = 113948
  • 151 + 113797 = 113948
  • 199 + 113749 = 113948
  • 229 + 113719 = 113948
  • 409 + 113539 = 113948
  • 577 + 113371 = 113948
  • 607 + 113341 = 113948
  • 619 + 113329 = 113948

Showing the first eight; more decompositions exist.

Hex color
#01BD1C
RGB(1, 189, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.189.28.

Address
0.1.189.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.189.28

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 113,948 and was likely granted around 1871.

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

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.