Live analysis

1,002,148

1,002,148 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.).

1,002,148 (one million two thousand one hundred forty-eight) is an even 7-digit number. It is a composite number with 18 divisors, and factors as 2² × 7² × 5,113. Its proper divisors sum to 1,038,338, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4AA4.

Abundant Number Cube-Free Evil Number Happy Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,002,136 1,002,137 1,002,138 1,002,139 1,002,140 1,002,141 1,002,142 1,002,143 1,002,144 1,002,145 1,002,146 1,002,147 1,002,148 1,002,149 1,002,150 1,002,151 1,002,152 1,002,153 1,002,154 1,002,155 1,002,156 1,002,157 1,002,158 1,002,159 1,002,160

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 8,412,001
Square (n²): 1,004,300,613,904
Cube (n³): 1,006,457,851,622,665,792
Divisor count: 18
σ(n) — sum of divisors: 2,040,486
φ(n) — Euler's totient: 429,408
Sum of prime factors: 5,131

Primality

Prime factorization: 2 ² × 7 ² × 5113

Nearest primes: 1,002,143 (−5) · 1,002,149 (+1)

Divisors & multiples

All divisors (18)

1 · 2 · 4 · 7 · 14 · 28 · 49 · 98 · 196 · 5113 · 10226 · 20452 · 35791 · 71582 · 143164 · 250537 · 501074 (half) · 1002148

Aliquot sum (sum of proper divisors): 1,038,338

Factor pairs (a × b = 1,002,148)

1 × 1002148

2 × 501074

4 × 250537

7 × 143164

14 × 71582

28 × 35791

49 × 20452

98 × 10226

196 × 5113

First multiples

1,002,148 · 2,004,296 (double) · 3,006,444 · 4,008,592 · 5,010,740 · 6,012,888 · 7,015,036 · 8,017,184 · 9,019,332 · 10,021,480

Sums & aliquot sequence

As a sum of two squares: 672² + 742²

As consecutive integers: 143,161 + 143,162 + … + 143,167 125,265 + 125,266 + … + 125,272 20,428 + 20,429 + … + 20,476 17,868 + 17,869 + … + 17,923

Aliquot sequence: 1,002,148 → 1,038,338 → 741,694 → 375,026 → 187,516 → 199,780 → 280,028 → 291,844 → 302,666 → 256,438 → 217,322 → 185,014 → 92,510 → 95,626 → 49,274 → 25,894 → 17,198 — unresolved within range

Continued fraction of √n

√1,002,148 = [1001; (13, 1, 1, 1, 1, 1, 2, 4, 6, 3, 2, 2, 4, 2, 2, 24, 3, 4, 2, 1, 22, 3, 10, 10, …)]

Representations

In words: one million two thousand one hundred forty-eight
Ordinal: 1002148th
Binary: 11110100101010100100
Octal: 3645244
Hexadecimal: 0xF4AA4
Base64: D0qk
One's complement: 4,293,965,147 (32-bit)
Scientific notation: 1.002148 × 10⁶
As a duration: 1,002,148 s = 11 days, 14 hours, 22 minutes, 28 seconds

In other bases

ternary (3) 1212220200121

quaternary (4) 3310222210

quinary (5) 224032043

senary (6) 33251324

septenary (7) 11342500

nonary (9) 1786617

undecimal (11) 624a24

duodecimal (12) 403b44

tridecimal (13) 2911b4

tetradecimal (14) 1c1300

pentadecimal (15) 14bded

As an angle

1,002,148° = 2,783 × 360° + 268°

268° ≈ 4.677 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千一百四十八
Chinese (financial): 壹佰萬貳仟壹佰肆拾捌

In other modern scripts

Eastern Arabic ١٠٠٢١٤٨ Devanagari १००२१४८ Bengali ১০০২১৪৮ Tamil ௧௦௦௨௧௪௮ Thai ๑๐๐๒๑๔๘ Tibetan ༡༠༠༢༡༤༨ Khmer ១០០២១៤៨ Lao ໑໐໐໒໑໔໘ Burmese ၁၀၀၂၁၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002148, here are decompositions:

5 + 1002143 = 1002148
47 + 1002101 = 1002148
71 + 1002077 = 1002148
131 + 1002017 = 1002148
167 + 1001981 = 1002148
317 + 1001831 = 1002148
347 + 1001801 = 1002148
461 + 1001687 = 1002148

Showing the first eight; more decompositions exist.

Hex color

#0F4AA4

RGB(15, 74, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.164.

Address: 0.15.74.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.164

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 1,002,148 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 US1,002,148 on Google Patents ↗ Look up on USPTO ↗