Live analysis

1,002,248

1,002,248 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.).

1,002,248 (one million two thousand two hundred forty-eight) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 13 × 23 × 419. Its proper divisors sum to 1,114,552, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4B08.

Abundant Number Arithmetic Number Odious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,002,236 1,002,237 1,002,238 1,002,239 1,002,240 1,002,241 1,002,242 1,002,243 1,002,244 1,002,245 1,002,246 1,002,247 1,002,248 1,002,249 1,002,250 1,002,251 1,002,252 1,002,253 1,002,254 1,002,255 1,002,256 1,002,257 1,002,258 1,002,259 1,002,260

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 8,422,001
Square (n²): 1,004,501,053,504
Cube (n³): 1,006,759,171,872,276,992
Divisor count: 32
σ(n) — sum of divisors: 2,116,800
φ(n) — Euler's totient: 441,408
Sum of prime factors: 461

Primality

Prime factorization: 2 ³ × 13 × 23 × 419

Nearest primes: 1,002,247 (−1) · 1,002,257 (+9)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 8 · 13 · 23 · 26 · 46 · 52 · 92 · 104 · 184 · 299 · 419 · 598 · 838 · 1196 · 1676 · 2392 · 3352 · 5447 · 9637 · 10894 · 19274 · 21788 · 38548 · 43576 · 77096 · 125281 · 250562 · 501124 (half) · 1002248

Aliquot sum (sum of proper divisors): 1,114,552

Factor pairs (a × b = 1,002,248)

1 × 1002248

2 × 501124

4 × 250562

8 × 125281

13 × 77096

23 × 43576

26 × 38548

46 × 21788

52 × 19274

92 × 10894

104 × 9637

184 × 5447

299 × 3352

419 × 2392

598 × 1676

838 × 1196

First multiples

1,002,248 · 2,004,496 (double) · 3,006,744 · 4,008,992 · 5,011,240 · 6,013,488 · 7,015,736 · 8,017,984 · 9,020,232 · 10,022,480

Sums & aliquot sequence

As consecutive integers: 77,090 + 77,091 + … + 77,102 62,633 + 62,634 + … + 62,648 43,565 + 43,566 + … + 43,587 4,715 + 4,716 + … + 4,922

Aliquot sequence: 1,002,248 → 1,114,552 → 993,608 → 1,330,552 → 1,164,248 → 1,018,732 → 1,102,604 → 826,960 → 1,095,908 → 996,364 → 756,660 → 1,362,156 → 1,816,236 → 2,981,844 → 4,632,672 → 9,084,192 → 17,587,488 — unresolved within range

Continued fraction of √n

√1,002,248 = [1001; (8, 9, 2, 5, 13, 1, 4, 1, 1, 9, 29, 2, 1, 15, 1, 7, 7, 2, 18, 1, 34, 1, 4, 6, …)]

Representations

In words: one million two thousand two hundred forty-eight
Ordinal: 1002248th
Binary: 11110100101100001000
Octal: 3645410
Hexadecimal: 0xF4B08
Base64: D0sI
One's complement: 4,293,965,047 (32-bit)
Scientific notation: 1.002248 × 10⁶
As a duration: 1,002,248 s = 11 days, 14 hours, 24 minutes, 8 seconds

In other bases

ternary (3) 1212220211022

quaternary (4) 3310230020

quinary (5) 224032443

senary (6) 33252012

septenary (7) 11343002

nonary (9) 1786738

undecimal (11) 625005

duodecimal (12) 404008

tridecimal (13) 291260

tetradecimal (14) 1c1372

pentadecimal (15) 14be68

As an angle

1,002,248° = 2,784 × 360° + 8°

8° ≈ 0.14 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千二百四十八
Chinese (financial): 壹佰萬貳仟貳佰肆拾捌

In other modern scripts

Eastern Arabic ١٠٠٢٢٤٨ Devanagari १००२२४८ Bengali ১০০২২৪৮ Tamil ௧௦௦௨௨௪௮ Thai ๑๐๐๒๒๔๘ Tibetan ༡༠༠༢༢༤༨ Khmer ១០០២២៤៨ Lao ໑໐໐໒໒໔໘ Burmese ၁၀၀၂၂၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002248, here are decompositions:

7 + 1002241 = 1002248
97 + 1002151 = 1002248
127 + 1002121 = 1002248
139 + 1002109 = 1002248
157 + 1002091 = 1002248
199 + 1002049 = 1002248
271 + 1001977 = 1002248
307 + 1001941 = 1002248

Showing the first eight; more decompositions exist.

Hex color

#0F4B08

RGB(15, 75, 8)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.75.8.

Address: 0.15.75.8
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.75.8

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 1,002,248 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 US1,002,248 on Google Patents ↗ Look up on USPTO ↗