Live analysis

1,004,108

1,004,108 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.).

1,004,108 (one million four thousand one hundred eight) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 7² × 47 × 109. Its proper divisors sum to 1,102,612, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF524C.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,004,096 1,004,097 1,004,098 1,004,099 1,004,100 1,004,101 1,004,102 1,004,103 1,004,104 1,004,105 1,004,106 1,004,107 1,004,108 1,004,109 1,004,110 1,004,111 1,004,112 1,004,113 1,004,114 1,004,115 1,004,116 1,004,117 1,004,118 1,004,119 1,004,120

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 8,014,001
Square (n²): 1,008,232,875,664
Cube (n³): 1,012,374,696,317,227,712
Divisor count: 36
σ(n) — sum of divisors: 2,106,720
φ(n) — Euler's totient: 417,312
Sum of prime factors: 174

Primality

Prime factorization: 2 ² × 7 ² × 47 × 109

Nearest primes: 1,004,089 (−19) · 1,004,117 (+9)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 7 · 14 · 28 · 47 · 49 · 94 · 98 · 109 · 188 · 196 · 218 · 329 · 436 · 658 · 763 · 1316 · 1526 · 2303 · 3052 · 4606 · 5123 · 5341 · 9212 · 10246 · 10682 · 20492 · 21364 · 35861 · 71722 · 143444 · 251027 · 502054 (half) · 1004108

Aliquot sum (sum of proper divisors): 1,102,612

Factor pairs (a × b = 1,004,108)

1 × 1004108

2 × 502054

4 × 251027

7 × 143444

14 × 71722

28 × 35861

47 × 21364

49 × 20492

94 × 10682

98 × 10246

109 × 9212

188 × 5341

196 × 5123

218 × 4606

329 × 3052

436 × 2303

658 × 1526

763 × 1316

First multiples

1,004,108 · 2,008,216 (double) · 3,012,324 · 4,016,432 · 5,020,540 · 6,024,648 · 7,028,756 · 8,032,864 · 9,036,972 · 10,041,080

Sums & aliquot sequence

As consecutive integers: 143,441 + 143,442 + … + 143,447 125,510 + 125,511 + … + 125,517 21,341 + 21,342 + … + 21,387 20,468 + 20,469 + … + 20,516

Aliquot sequence: 1,004,108 → 1,102,612 → 1,147,244 → 1,147,300 → 1,977,500 → 3,008,404 → 3,116,246 → 2,508,394 → 1,826,006 → 1,614,634 → 1,153,334 → 976,234 → 716,054 → 369,394 → 188,174 → 134,434 → 67,220 — unresolved within range

Continued fraction of √n

√1,004,108 = [1002; (19, 3, 1, 2, 2, 2, 1, 1, 5, 1, 1, 9, 1, 2, 6, 10, 64, 1, 1, 4, 2, 40, 2, 4, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words: one million four thousand one hundred eight
Ordinal: 1004108th
Binary: 11110101001001001100
Octal: 3651114
Hexadecimal: 0xF524C
Base64: D1JM
One's complement: 4,293,963,187 (32-bit)
Scientific notation: 1.004108 × 10⁶
As a duration: 1,004,108 s = 11 days, 14 hours, 55 minutes, 8 seconds

In other bases

ternary (3) 1220000101012

quaternary (4) 3311021030

quinary (5) 224112413

senary (6) 33304352

septenary (7) 11351300

nonary (9) 1800335

undecimal (11) 626446

duodecimal (12) 4050b8

tridecimal (13) 292061

tetradecimal (14) 1c1d00

pentadecimal (15) 14c7a8

As an angle

1,004,108° = 2,789 × 360° + 68°

68° ≈ 1.187 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬四千一百零八
Chinese (financial): 壹佰萬肆仟壹佰零捌

In other modern scripts

Eastern Arabic ١٠٠٤١٠٨ Devanagari १००४१०८ Bengali ১০০৪১০৮ Tamil ௧௦௦௪௧௦௮ Thai ๑๐๐๔๑๐๘ Tibetan ༡༠༠༤༡༠༨ Khmer ១០០៤១០៨ Lao ໑໐໐໔໑໐໘ Burmese ၁၀၀၄၁၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004108, here are decompositions:

19 + 1004089 = 1004108
31 + 1004077 = 1004108
151 + 1003957 = 1004108
199 + 1003909 = 1004108
211 + 1003897 = 1004108
229 + 1003879 = 1004108
337 + 1003771 = 1004108
367 + 1003741 = 1004108

Showing the first eight; more decompositions exist.

Hex color

#0F524C

RGB(15, 82, 76)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.76.

Address: 0.15.82.76
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.76

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 1,004,108 and was likely granted around 1911.

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

Look up US1,004,108 on Google Patents ↗ Look up on USPTO ↗