number.wiki
Live analysis

114,004

114,004 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.).

114,004 (one hundred fourteen thousand four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 11 × 2,591. Written other ways, in hexadecimal, 0x1BD54.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
10
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
400,411
Recamán's sequence
a(56,795) = 114,004
Square (n²)
12,996,912,016
Cube (n³)
1,481,699,957,472,064
Divisor count
12
σ(n) — sum of divisors
217,728
φ(n) — Euler's totient
51,800
Sum of prime factors
2,606

Primality

Prime factorization: 2 2 × 11 × 2591

Nearest primes: 114,001 (−3) · 114,013 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 11 · 22 · 44 · 2591 · 5182 · 10364 · 28501 · 57002 (half) · 114004
Aliquot sum (sum of proper divisors): 103,724
Factor pairs (a × b = 114,004)
1 × 114004
2 × 57002
4 × 28501
11 × 10364
22 × 5182
44 × 2591
First multiples
114,004 · 228,008 (double) · 342,012 · 456,016 · 570,020 · 684,024 · 798,028 · 912,032 · 1,026,036 · 1,140,040

Sums & aliquot sequence

As consecutive integers: 14,247 + 14,248 + … + 14,254 10,359 + 10,360 + … + 10,369 1,252 + 1,253 + … + 1,339
Aliquot sequence: 114,004 103,724 77,800 103,550 101,050 95,366 51,298 31,610 27,790 29,522 16,378 9,542 5,914 2,960 4,108 3,732 5,004 — unresolved within range

Continued fraction of √n

√114,004 = [337; (1, 1, 1, 4, 2, 2, 3, 3, 1, 1, 5, 3, 1, 10, 2, 41, 1, 2, 1, 2, 15, 2, 1, 14, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred fourteen thousand four
Ordinal
114004th
Binary
11011110101010100
Octal
336524
Hexadecimal
0x1BD54
Base64
Ab1U
One's complement
4,294,853,291 (32-bit)
Scientific notation
1.14004 × 10⁵
As a duration
114,004 s = 1 day, 7 hours, 40 minutes, 4 seconds
In other bases
ternary (3) 12210101101
quaternary (4) 123311110
quinary (5) 12122004
senary (6) 2235444
septenary (7) 653242
nonary (9) 183341
undecimal (11) 78720
duodecimal (12) 55b84
tridecimal (13) 3cb77
tetradecimal (14) 2d792
pentadecimal (15) 23ba4

As an angle

114,004° = 316 × 360° + 244°
244° ≈ 4.259 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριδδʹ
Mayan (base 20)
𝋮·𝋥·𝋠·𝋤
Chinese
一十一萬四千零四
Chinese (financial)
壹拾壹萬肆仟零肆
In other modern scripts
Eastern Arabic ١١٤٠٠٤ Devanagari ११४००४ Bengali ১১৪০০৪ Tamil ௧௧௪௦௦௪ Thai ๑๑๔๐๐๔ Tibetan ༡༡༤༠༠༤ Khmer ១១៤០០៤ Lao ໑໑໔໐໐໔ Burmese ၁၁၄၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 114004, here are decompositions:

  • 3 + 114001 = 114004
  • 41 + 113963 = 114004
  • 47 + 113957 = 114004
  • 71 + 113933 = 114004
  • 83 + 113921 = 114004
  • 101 + 113903 = 114004
  • 113 + 113891 = 114004
  • 167 + 113837 = 114004

Showing the first eight; more decompositions exist.

Hex color
#01BD54
RGB(1, 189, 84)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.189.84.

Address
0.1.189.84
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.189.84

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 114,004 and was likely granted around 1871.

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

Position in π

The digit sequence 114004 first appears in π at position 343,269 of the decimal expansion (the 343,269ordinal-suffix:th 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.

Related reading