Live analysis

106,004

106,004 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.).

106,004 (one hundred six thousand four) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 26,501. Written other ways, in hexadecimal, 0x19E14.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

105,992 105,993 105,994 105,995 105,996 105,997 105,998 105,999 106,000 106,001 106,002 106,003 106,004 106,005 106,006 106,007 106,008 106,009 106,010 106,011 106,012 106,013 106,014 106,015 106,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 17 bits
Reversed: 400,601
Recamán's sequence: a(89,163) = 106,004
Square (n²): 11,236,848,016
Cube (n³): 1,191,150,837,088,064
Divisor count: 6
σ(n) — sum of divisors: 185,514
φ(n) — Euler's totient: 53,000
Sum of prime factors: 26,505

Primality

Prime factorization: 2 ² × 26501

Nearest primes: 105,997 (−7) · 106,013 (+9)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 26501 · 53002 (half) · 106004

Aliquot sum (sum of proper divisors): 79,510

Factor pairs (a × b = 106,004)

1 × 106004

2 × 53002

4 × 26501

First multiples

106,004 · 212,008 (double) · 318,012 · 424,016 · 530,020 · 636,024 · 742,028 · 848,032 · 954,036 · 1,060,040

Sums & aliquot sequence

As a sum of two squares: 148² + 290²

As consecutive integers: 13,247 + 13,248 + … + 13,254

Aliquot sequence: 106,004 → 79,510 → 63,626 → 35,194 → 17,600 → 29,644 → 22,240 → 30,680 → 44,920 → 56,240 → 85,120 → 159,680 → 221,320 → 323,000 → 519,400 → 911,870 → 755,218 — unresolved within range

Continued fraction of √n

√106,004 = [325; (1, 1, 2, 1, 1, 8, 2, 1, 31, 1, 7, 3, 1, 1, 1, 16, 1, 25, 9, 1, 2, 7, 1, 3, …)]

Representations

In words: one hundred six thousand four
Ordinal: 106004th
Binary: 11001111000010100
Octal: 317024
Hexadecimal: 0x19E14
Base64: AZ4U
One's complement: 4,294,861,291 (32-bit)
Scientific notation: 1.06004 × 10⁵
As a duration: 106,004 s = 1 day, 5 hours, 26 minutes, 44 seconds

In other bases

ternary (3) 12101102002

quaternary (4) 121320110

quinary (5) 11343004

senary (6) 2134432

septenary (7) 621023

nonary (9) 171362

undecimal (11) 72708

duodecimal (12) 51418

tridecimal (13) 39332

tetradecimal (14) 2a8ba

pentadecimal (15) 2161e

As an angle

106,004° = 294 × 360° + 164°

164° ≈ 2.862 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρϛδʹ
Mayan (base 20): 𝋭·𝋥·𝋠·𝋤
Chinese: 十萬六千零四
Chinese (financial): 壹拾萬陸仟零肆

In other modern scripts

Eastern Arabic ١٠٦٠٠٤ Devanagari १०६००४ Bengali ১০৬০০৪ Tamil ௧௦௬௦௦௪ Thai ๑๐๖๐๐๔ Tibetan ༡༠༦༠༠༤ Khmer ១០៦០០៤ Lao ໑໐໖໐໐໔ Burmese ၁၀၆၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106004, here are decompositions:

7 + 105997 = 106004
37 + 105967 = 106004
61 + 105943 = 106004
97 + 105907 = 106004
271 + 105733 = 106004
277 + 105727 = 106004
313 + 105691 = 106004
331 + 105673 = 106004

Showing the first eight; more decompositions exist.

Hex color

#019E14

RGB(1, 158, 20)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.158.20.

Address: 0.1.158.20
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.158.20

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 106,004 and was likely granted around 1870.

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

Look up US106,004 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 106004 first appears in π at position 91,184 of the decimal expansion (the 91,184ordinal-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.

Look up 106004 on Pi Search ↗