Live analysis

116,004

116,004 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.).

116,004 (one hundred sixteen thousand four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 7 × 1,381. Its proper divisors sum to 193,564, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C524.

Abundant Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

115,992 115,993 115,994 115,995 115,996 115,997 115,998 115,999 116,000 116,001 116,002 116,003 116,004 116,005 116,006 116,007 116,008 116,009 116,010 116,011 116,012 116,013 116,014 116,015 116,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 400,611
Square (n²): 13,456,928,016
Cube (n³): 1,561,057,477,568,064
Divisor count: 24
σ(n) — sum of divisors: 309,568
φ(n) — Euler's totient: 33,120
Sum of prime factors: 1,395

Primality

Prime factorization: 2 ² × 3 × 7 × 1381

Nearest primes: 115,987 (−17) · 116,009 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 84 · 1381 · 2762 · 4143 · 5524 · 8286 · 9667 · 16572 · 19334 · 29001 · 38668 · 58002 (half) · 116004

Aliquot sum (sum of proper divisors): 193,564

Factor pairs (a × b = 116,004)

1 × 116004

2 × 58002

3 × 38668

4 × 29001

6 × 19334

7 × 16572

12 × 9667

14 × 8286

21 × 5524

28 × 4143

42 × 2762

84 × 1381

First multiples

116,004 · 232,008 (double) · 348,012 · 464,016 · 580,020 · 696,024 · 812,028 · 928,032 · 1,044,036 · 1,160,040

Sums & aliquot sequence

As consecutive integers: 38,667 + 38,668 + 38,669 16,569 + 16,570 + … + 16,575 14,497 + 14,498 + … + 14,504 5,514 + 5,515 + … + 5,534

Aliquot sequence: 116,004 → 193,564 → 207,844 → 240,604 → 278,404 → 291,004 → 322,756 → 322,812 → 666,708 → 1,111,404 → 1,904,532 → 3,458,028 → 5,929,644 → 10,115,924 → 11,673,004 → 11,758,964 → 12,334,924 — unresolved within range

Continued fraction of √n

√116,004 = [340; (1, 1, 2, 5, 1, 5, 1, 1, 1, 4, 5, 1, 1, 26, 1, 2, 2, 1, 1, 1, 33, 2, 3, 18, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: one hundred sixteen thousand four
Ordinal: 116004th
Binary: 11100010100100100
Octal: 342444
Hexadecimal: 0x1C524
Base64: AcUk
One's complement: 4,294,851,291 (32-bit)
Scientific notation: 1.16004 × 10⁵
As a duration: 116,004 s = 1 day, 8 hours, 13 minutes, 24 seconds

In other bases

ternary (3) 12220010110

quaternary (4) 130110210

quinary (5) 12203004

senary (6) 2253020

septenary (7) 662130

nonary (9) 186113

undecimal (11) 7a179

duodecimal (12) 57170

tridecimal (13) 40a55

tetradecimal (14) 303c0

pentadecimal (15) 24589

As an angle

116,004° = 322 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριϛδʹ
Mayan (base 20): 𝋮·𝋪·𝋠·𝋤
Chinese: 一十一萬六千零四
Chinese (financial): 壹拾壹萬陸仟零肆

In other modern scripts

Eastern Arabic ١١٦٠٠٤ Devanagari ११६००४ Bengali ১১৬০০৪ Tamil ௧௧௬௦௦௪ Thai ๑๑๖๐๐๔ Tibetan ༡༡༦༠༠༤ Khmer ១១៦០០៤ Lao ໑໑໖໐໐໔ Burmese ၁၁၆၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 116004, here are decompositions:

17 + 115987 = 116004
23 + 115981 = 116004
41 + 115963 = 116004
71 + 115933 = 116004
73 + 115931 = 116004
101 + 115903 = 116004
103 + 115901 = 116004
113 + 115891 = 116004

Showing the first eight; more decompositions exist.

Hex color

#01C524

RGB(1, 197, 36)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.197.36.

Address: 0.1.197.36
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.197.36

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 116,004 and was likely granted around 1871.

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

Look up US116,004 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 116004 first appears in π at position 406,893 of the decimal expansion (the 406,893ordinal-suffix:rd 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 116004 on Pi Search ↗