Live analysis

1,002,108

1,002,108 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.).

1,002,108 (one million two thousand one hundred eight) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 37² × 61. Its proper divisors sum to 1,440,444, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A7C.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,002,096 1,002,097 1,002,098 1,002,099 1,002,100 1,002,101 1,002,102 1,002,103 1,002,104 1,002,105 1,002,106 1,002,107 1,002,108 1,002,109 1,002,110 1,002,111 1,002,112 1,002,113 1,002,114 1,002,115 1,002,116 1,002,117 1,002,118 1,002,119 1,002,120

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 8,012,001
Square (n²): 1,004,220,443,664
Cube (n³): 1,006,337,340,359,243,712
Divisor count: 36
σ(n) — sum of divisors: 2,442,552
φ(n) — Euler's totient: 319,680
Sum of prime factors: 142

Primality

Prime factorization: 2 ² × 3 × 37 ² × 61

Nearest primes: 1,002,101 (−7) · 1,002,109 (+1)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 12 · 37 · 61 · 74 · 111 · 122 · 148 · 183 · 222 · 244 · 366 · 444 · 732 · 1369 · 2257 · 2738 · 4107 · 4514 · 5476 · 6771 · 8214 · 9028 · 13542 · 16428 · 27084 · 83509 · 167018 · 250527 · 334036 · 501054 (half) · 1002108

Aliquot sum (sum of proper divisors): 1,440,444

Factor pairs (a × b = 1,002,108)

1 × 1002108

2 × 501054

3 × 334036

4 × 250527

6 × 167018

12 × 83509

37 × 27084

61 × 16428

74 × 13542

111 × 9028

122 × 8214

148 × 6771

183 × 5476

222 × 4514

244 × 4107

366 × 2738

444 × 2257

732 × 1369

First multiples

1,002,108 · 2,004,216 (double) · 3,006,324 · 4,008,432 · 5,010,540 · 6,012,648 · 7,014,756 · 8,016,864 · 9,018,972 · 10,021,080

Sums & aliquot sequence

As consecutive integers: 334,035 + 334,036 + 334,037 125,260 + 125,261 + … + 125,267 41,743 + 41,744 + … + 41,766 27,066 + 27,067 + … + 27,102

Aliquot sequence: 1,002,108 → 1,440,444 → 2,285,124 → 3,080,124 → 4,828,140 → 10,194,420 → 18,590,028 → 24,786,732 → 37,531,860 → 72,130,476 → 113,825,364 → 152,178,444 → 267,466,236 → 393,333,204 → 607,878,924 → 810,505,260 → 1,792,656,756 — unresolved within range

Continued fraction of √n

√1,002,108 = [1001; (18, 1, 2, 2, 5, 2, 1, 1, 4, 1, 4, 11, 1, 1, 1, 3, 2, 2, 10, 4, 5, 1, 3, 1, …)]

Representations

In words: one million two thousand one hundred eight
Ordinal: 1002108th
Binary: 11110100101001111100
Octal: 3645174
Hexadecimal: 0xF4A7C
Base64: D0p8
One's complement: 4,293,965,187 (32-bit)
Scientific notation: 1.002108 × 10⁶
As a duration: 1,002,108 s = 11 days, 14 hours, 21 minutes, 48 seconds

In other bases

ternary (3) 1212220122010

quaternary (4) 3310221330

quinary (5) 224031413

senary (6) 33251220

septenary (7) 11342412

nonary (9) 1786563

undecimal (11) 624998

duodecimal (12) 403b10

tridecimal (13) 291183

tetradecimal (14) 1c12b2

pentadecimal (15) 14bdc3

As an angle

1,002,108° = 2,783 × 360° + 228°

228° ≈ 3.979 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千一百零八
Chinese (financial): 壹佰萬貳仟壹佰零捌

In other modern scripts

Eastern Arabic ١٠٠٢١٠٨ Devanagari १००२१०८ Bengali ১০০২১০৮ Tamil ௧௦௦௨௧௦௮ Thai ๑๐๐๒๑๐๘ Tibetan ༡༠༠༢༡༠༨ Khmer ១០០២១០៨ Lao ໑໐໐໒໑໐໘ Burmese ၁၀၀၂၁၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002108, here are decompositions:

7 + 1002101 = 1002108
17 + 1002091 = 1002108
31 + 1002077 = 1002108
47 + 1002061 = 1002108
59 + 1002049 = 1002108
127 + 1001981 = 1002108
131 + 1001977 = 1002108
167 + 1001941 = 1002108

Showing the first eight; more decompositions exist.

Hex color

#0F4A7C

RGB(15, 74, 124)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.124.

Address: 0.15.74.124
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.124

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 1,002,108 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 US1,002,108 on Google Patents ↗ Look up on USPTO ↗