Live analysis

103,004

103,004 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.).

103,004 (one hundred three thousand four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 11 × 2,341. Written other ways, in hexadecimal, 0x1925C.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

102,992 102,993 102,994 102,995 102,996 102,997 102,998 102,999 103,000 103,001 103,002 103,003 103,004 103,005 103,006 103,007 103,008 103,009 103,010 103,011 103,012 103,013 103,014 103,015 103,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 8
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 17 bits
Reversed: 400,301
Recamán's sequence: a(96,727) = 103,004
Square (n²): 10,609,824,016
Cube (n³): 1,092,854,312,944,064
Divisor count: 12
σ(n) — sum of divisors: 196,728
φ(n) — Euler's totient: 46,800
Sum of prime factors: 2,356

Primality

Prime factorization: 2 ² × 11 × 2341

Nearest primes: 103,001 (−3) · 103,007 (+3)

Divisors & multiples

All divisors (12)

1 · 2 · 4 · 11 · 22 · 44 · 2341 · 4682 · 9364 · 25751 · 51502 (half) · 103004

Aliquot sum (sum of proper divisors): 93,724

Factor pairs (a × b = 103,004)

1 × 103004

2 × 51502

4 × 25751

11 × 9364

22 × 4682

44 × 2341

First multiples

103,004 · 206,008 (double) · 309,012 · 412,016 · 515,020 · 618,024 · 721,028 · 824,032 · 927,036 · 1,030,040

Sums & aliquot sequence

As consecutive integers: 12,872 + 12,873 + … + 12,879 9,359 + 9,360 + … + 9,369 1,127 + 1,128 + … + 1,214

Aliquot sequence: 103,004 → 93,724 → 70,300 → 94,620 → 187,620 → 356,700 → 736,980 → 1,367,724 → 1,842,756 → 2,457,036 → 3,813,228 → 5,964,540 → 10,736,340 → 19,325,580 → 34,786,212 → 49,911,324 → 66,548,460 — unresolved within range

Continued fraction of √n

√103,004 = [320; (1, 16, 2, 1, 6, 11, 1, 24, 1, 3, 7, 1, 6, 1, 5, 1, 7, 1, 1, 2, 4, 4, 2, 31, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words: one hundred three thousand four
Ordinal: 103004th
Binary: 11001001001011100
Octal: 311134
Hexadecimal: 0x1925C
Base64: AZJc
One's complement: 4,294,864,291 (32-bit)
Scientific notation: 1.03004 × 10⁵
As a duration: 103,004 s = 1 day, 4 hours, 36 minutes, 44 seconds

In other bases

ternary (3) 12020021222

quaternary (4) 121021130

quinary (5) 11244004

senary (6) 2112512

septenary (7) 606206

nonary (9) 166258

undecimal (11) 70430

duodecimal (12) 4b738

tridecimal (13) 37b65

tetradecimal (14) 29776

pentadecimal (15) 207be

As an angle

103,004° = 286 × 360° + 44°

44° ≈ 0.768 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ργδʹ
Mayan (base 20): 𝋬·𝋱·𝋪·𝋤
Chinese: 一十萬三千零四
Chinese (financial): 壹拾萬參仟零肆

In other modern scripts

Eastern Arabic ١٠٣٠٠٤ Devanagari १०३००४ Bengali ১০৩০০৪ Tamil ௧௦௩௦௦௪ Thai ๑๐๓๐๐๔ Tibetan ༡༠༣༠༠༤ Khmer ១០៣០០៤ Lao ໑໐໓໐໐໔ Burmese ၁၀၃၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103004, here are decompositions:

3 + 103001 = 103004
37 + 102967 = 103004
73 + 102931 = 103004
127 + 102877 = 103004
163 + 102841 = 103004
193 + 102811 = 103004
211 + 102793 = 103004
241 + 102763 = 103004

Showing the first eight; more decompositions exist.

Hex color

#01925C

RGB(1, 146, 92)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.146.92.

Address: 0.1.146.92
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.146.92

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 103,004 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 US103,004 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 103004 first appears in π at position 400,097 of the decimal expansion (the 400,097ordinal-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 103004 on Pi Search ↗