Live analysis

1,048,000

1,048,000 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.).

1,048,000 (one million forty-eight thousand) is an even 7-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 5³ × 131. Its proper divisors sum to 1,567,184, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xFFDC0.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,047,988 1,047,989 1,047,990 1,047,991 1,047,992 1,047,993 1,047,994 1,047,995 1,047,996 1,047,997 1,047,998 1,047,999 1,048,000 1,048,001 1,048,002 1,048,003 1,048,004 1,048,005 1,048,006 1,048,007 1,048,008 1,048,009 1,048,010 1,048,011 1,048,012

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 8,401
Square (n²): 1,098,304,000,000
Cube (n³): 1,151,022,592,000,000,000
Divisor count: 56
σ(n) — sum of divisors: 2,615,184
φ(n) — Euler's totient: 416,000
Sum of prime factors: 158

Primality

Prime factorization: 2 ⁶ × 5 ³ × 131

Nearest primes: 1,047,997 (−3) · 1,048,007 (+7)

Divisors & multiples

All divisors (56)

1 · 2 · 4 · 5 · 8 · 10 · 16 · 20 · 25 · 32 · 40 · 50 · 64 · 80 · 100 · 125 · 131 · 160 · 200 · 250 · 262 · 320 · 400 · 500 · 524 · 655 · 800 · 1000 · 1048 · 1310 · 1600 · 2000 · 2096 · 2620 · 3275 · 4000 · 4192 · 5240 · 6550 · 8000 · 8384 · 10480 · 13100 · 16375 · 20960 · 26200 · 32750 · 41920 · 52400 · 65500 · 104800 · 131000 · 209600 · 262000 · 524000 (half) · 1048000

Aliquot sum (sum of proper divisors): 1,567,184

Factor pairs (a × b = 1,048,000)

1 × 1048000

2 × 524000

4 × 262000

5 × 209600

8 × 131000

10 × 104800

16 × 65500

20 × 52400

25 × 41920

32 × 32750

40 × 26200

50 × 20960

64 × 16375

80 × 13100

100 × 10480

125 × 8384

131 × 8000

160 × 6550

200 × 5240

250 × 4192

262 × 4000

320 × 3275

400 × 2620

500 × 2096

524 × 2000

655 × 1600

800 × 1310

1000 × 1048

First multiples

1,048,000 · 2,096,000 (double) · 3,144,000 · 4,192,000 · 5,240,000 · 6,288,000 · 7,336,000 · 8,384,000 · 9,432,000 · 10,480,000

Sums & aliquot sequence

As consecutive integers: 209,598 + 209,599 + 209,600 + 209,601 + 209,602 41,908 + 41,909 + … + 41,932 8,322 + 8,323 + … + 8,446 8,124 + 8,125 + … + 8,251

Aliquot sequence: 1,048,000 → 1,567,184 → 1,544,596 → 1,158,454 → 751,958 → 375,982 → 198,794 → 99,400 → 168,440 → 210,640 → 279,284 → 209,470 → 167,594 → 119,734 → 61,634 → 30,820 → 37,724 — unresolved within range

Continued fraction of √n

√1,048,000 = [1023; (1, 2, 1, 1, 4, 25, 17, 6, 28, 1, 2, 20, 7, 3, 2, 5, 4, 6, 7, 5, 1, 1, 1, 1, …)]

Representations

In words: one million forty-eight thousand
Ordinal: 1048000th
Binary: 11111111110111000000
Octal: 3776700
Hexadecimal: 0xFFDC0
Base64: D/3A
One's complement: 4,293,919,295 (32-bit)
Scientific notation: 1.048 × 10⁶
As a duration: 1,048,000 s = 12 days, 3 hours, 6 minutes, 40 seconds

In other bases

ternary (3) 1222020120211

quaternary (4) 3333313000

quinary (5) 232014000

senary (6) 34243504

septenary (7) 11623252

nonary (9) 1866524

undecimal (11) 656418

duodecimal (12) 426594

tridecimal (13) 2a9025

tetradecimal (14) 1d3cd2

pentadecimal (15) 15a7ba

As an angle

1,048,000° = 2,911 × 360° + 40°

40° ≈ 0.698 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼
Chinese: 一百零四萬八千
Chinese (financial): 壹佰零肆萬捌仟

In other modern scripts

Eastern Arabic ١٠٤٨٠٠٠ Devanagari १०४८००० Bengali ১০৪৮০০০ Tamil ௧௦௪௮௦௦௦ Thai ๑๐๔๘๐๐๐ Tibetan ༡༠༤༨༠༠༠ Khmer ១០៤៨០០០ Lao ໑໐໔໘໐໐໐ Burmese ၁၀၄၈၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1048000, here are decompositions:

3 + 1047997 = 1048000
11 + 1047989 = 1048000
29 + 1047971 = 1048000
59 + 1047941 = 1048000
71 + 1047929 = 1048000
113 + 1047887 = 1048000
167 + 1047833 = 1048000
179 + 1047821 = 1048000

Showing the first eight; more decompositions exist.

Hex color

#0FFDC0

RGB(15, 253, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.253.192.

Address: 0.15.253.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.253.192

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 4, 8000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

8000-04-01 (DMMYYYY (Euro, single-digit day))
8000-10-04 (MMDYYYY (US, single-digit day))
8000-04-10 (DDMYYYY (Euro, single-digit month))

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 1,048,000 and was likely granted around 1912.

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

Look up US1,048,000 on Google Patents ↗ Look up on USPTO ↗