Live analysis

104,000

104,000 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.).

104,000 (one hundred four thousand) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5³ × 13. Its proper divisors sum to 173,368, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19640.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

103,988 103,989 103,990 103,991 103,992 103,993 103,994 103,995 103,996 103,997 103,998 103,999 104,000 104,001 104,002 104,003 104,004 104,005 104,006 104,007 104,008 104,009 104,010 104,011 104,012

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 17 bits
Reversed: 401
Recamán's sequence: a(94,103) = 104,000
Square (n²): 10,816,000,000
Cube (n³): 1,124,864,000,000,000
Divisor count: 56
σ(n) — sum of divisors: 277,368
φ(n) — Euler's totient: 38,400
Sum of prime factors: 40

Primality

Prime factorization: 2 ⁶ × 5 ³ × 13

Nearest primes: 103,997 (−3) · 104,003 (+3)

Divisors & multiples

All divisors (56)

1 · 2 · 4 · 5 · 8 · 10 · 13 · 16 · 20 · 25 · 26 · 32 · 40 · 50 · 52 · 64 · 65 · 80 · 100 · 104 · 125 · 130 · 160 · 200 · 208 · 250 · 260 · 320 · 325 · 400 · 416 · 500 · 520 · 650 · 800 · 832 · 1000 · 1040 · 1300 · 1600 · 1625 · 2000 · 2080 · 2600 · 3250 · 4000 · 4160 · 5200 · 6500 · 8000 · 10400 · 13000 · 20800 · 26000 · 52000 (half) · 104000

Aliquot sum (sum of proper divisors): 173,368

Factor pairs (a × b = 104,000)

1 × 104000

2 × 52000

4 × 26000

5 × 20800

8 × 13000

10 × 10400

13 × 8000

16 × 6500

20 × 5200

25 × 4160

26 × 4000

32 × 3250

40 × 2600

50 × 2080

52 × 2000

64 × 1625

65 × 1600

80 × 1300

100 × 1040

104 × 1000

125 × 832

130 × 800

160 × 650

200 × 520

208 × 500

250 × 416

260 × 400

320 × 325

First multiples

104,000 · 208,000 (double) · 312,000 · 416,000 · 520,000 · 624,000 · 728,000 · 832,000 · 936,000 · 1,040,000

Sums & aliquot sequence

As a sum of two squares: 40² + 320² = 128² + 296² = 160² + 280² = 224² + 232²

As consecutive integers: 20,798 + 20,799 + 20,800 + 20,801 + 20,802 7,994 + 7,995 + … + 8,006 4,148 + 4,149 + … + 4,172 1,568 + 1,569 + … + 1,632

Aliquot sequence: 104,000 → 173,368 → 176,912 → 165,886 → 143,570 → 158,074 → 117,920 → 190,528 → 218,412 → 333,776 → 341,776 → 337,868 → 253,408 → 245,552 → 238,048 → 244,280 → 325,960 — unresolved within range

Continued fraction of √n

√104,000 = [322; (2, 25, 3, 2, 1, 25, 10, 25, 1, 2, 3, 25, 2, 644)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one hundred four thousand
Ordinal: 104000th
Binary: 11001011001000000
Octal: 313100
Hexadecimal: 0x19640
Base64: AZZA
One's complement: 4,294,863,295 (32-bit)
Scientific notation: 1.04 × 10⁵
As a duration: 104,000 s = 1 day, 4 hours, 53 minutes, 20 seconds

In other bases

ternary (3) 12021122212

quaternary (4) 121121000

quinary (5) 11312000

senary (6) 2121252

septenary (7) 612131

nonary (9) 167585

undecimal (11) 71156

duodecimal (12) 50228

tridecimal (13) 38450

tetradecimal (14) 29c88

pentadecimal (15) 20c35

As an angle

104,000° = 288 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼
Greek (Milesian): ͵ρδ
Mayan (base 20): 𝋭·𝋠·𝋠·𝋠
Chinese: 一十萬四千
Chinese (financial): 壹拾萬肆仟

In other modern scripts

Eastern Arabic ١٠٤٠٠٠ Devanagari १०४००० Bengali ১০৪০০০ Tamil ௧௦௪௦௦௦ Thai ๑๐๔๐๐๐ Tibetan ༡༠༤༠༠༠ Khmer ១០៤០០០ Lao ໑໐໔໐໐໐ Burmese ၁၀၄၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104000, here are decompositions:

3 + 103997 = 104000
7 + 103993 = 104000
19 + 103981 = 104000
31 + 103969 = 104000
37 + 103963 = 104000
97 + 103903 = 104000
157 + 103843 = 104000
163 + 103837 = 104000

Showing the first eight; more decompositions exist.

Hex color

#019640

RGB(1, 150, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.64.

Address: 0.1.150.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.150.64

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 104,000 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 US104,000 on Google Patents ↗ Look up on USPTO ↗