Live analysis

1,050,048

1,050,048 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.).

1,050,048 (one million fifty thousand forty-eight) is an even 7-digit number. It is a composite number with 42 divisors, and factors as 2⁶ × 3² × 1,823. Its proper divisors sum to 1,961,376, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1005C0.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,050,036 1,050,037 1,050,038 1,050,039 1,050,040 1,050,041 1,050,042 1,050,043 1,050,044 1,050,045 1,050,046 1,050,047 1,050,048 1,050,049 1,050,050 1,050,051 1,050,052 1,050,053 1,050,054 1,050,055 1,050,056 1,050,057 1,050,058 1,050,059 1,050,060

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 21 bits
Reversed: 8,400,501
Square (n²): 1,102,600,802,304
Cube (n³): 1,157,783,767,257,710,592
Divisor count: 42
σ(n) — sum of divisors: 3,011,424
φ(n) — Euler's totient: 349,824
Sum of prime factors: 1,841

Primality

Prime factorization: 2 ⁶ × 3 ² × 1823

Nearest primes: 1,050,041 (−7) · 1,050,053 (+5)

Divisors & multiples

All divisors (42)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 48 · 64 · 72 · 96 · 144 · 192 · 288 · 576 · 1823 · 3646 · 5469 · 7292 · 10938 · 14584 · 16407 · 21876 · 29168 · 32814 · 43752 · 58336 · 65628 · 87504 · 116672 · 131256 · 175008 · 262512 · 350016 · 525024 (half) · 1050048

Aliquot sum (sum of proper divisors): 1,961,376

Factor pairs (a × b = 1,050,048)

1 × 1050048

2 × 525024

3 × 350016

4 × 262512

6 × 175008

8 × 131256

9 × 116672

12 × 87504

16 × 65628

18 × 58336

24 × 43752

32 × 32814

36 × 29168

48 × 21876

64 × 16407

72 × 14584

96 × 10938

144 × 7292

192 × 5469

288 × 3646

576 × 1823

First multiples

1,050,048 · 2,100,096 (double) · 3,150,144 · 4,200,192 · 5,250,240 · 6,300,288 · 7,350,336 · 8,400,384 · 9,450,432 · 10,500,480

Sums & aliquot sequence

As consecutive integers: 350,015 + 350,016 + 350,017 116,668 + 116,669 + … + 116,676 8,140 + 8,141 + … + 8,267 2,543 + 2,544 + … + 2,926

Aliquot sequence: 1,050,048 → 1,961,376 → 3,187,488 → 5,179,920 → 11,104,752 → 17,582,648 → 15,459,832 → 13,600,808 → 15,311,992 → 13,398,008 → 14,241,352 → 12,461,198 → 6,230,602 → 5,340,086 → 2,865,538 → 1,791,422 → 901,450 — unresolved within range

Continued fraction of √n

√1,050,048 = [1024; (1, 2, 1, 1, 4, 3, 1, 1, 1, 9, 4, 1, 1, 1, 6, 1, 1, 2, 1, 12, 1, 2, 9, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words: one million fifty thousand forty-eight
Ordinal: 1050048th
Binary: 100000000010111000000
Octal: 4002700
Hexadecimal: 0x1005C0
Base64: EAXA
One's complement: 4,293,917,247 (32-bit)
Scientific notation: 1.050048 × 10⁶
As a duration: 1,050,048 s = 12 days, 3 hours, 40 minutes, 48 seconds

In other bases

ternary (3) 1222100101200

quaternary (4) 10000113000

quinary (5) 232100143

senary (6) 34301200

septenary (7) 11632236

nonary (9) 1870350

undecimal (11) 657a0a

duodecimal (12) 427800

tridecimal (13) 2a9c3c

tetradecimal (14) 1d4956

pentadecimal (15) 15b1d3

As an angle

1,050,048° = 2,916 × 360° + 288°

288° ≈ 5.027 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓂍𓂍𓂍𓂍𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零五萬零四十八
Chinese (financial): 壹佰零伍萬零肆拾捌

In other modern scripts

Eastern Arabic ١٠٥٠٠٤٨ Devanagari १०५००४८ Bengali ১০৫০০৪৮ Tamil ௧௦௫௦௦௪௮ Thai ๑๐๕๐๐๔๘ Tibetan ༡༠༥༠༠༤༨ Khmer ១០៥០០៤៨ Lao ໑໐໕໐໐໔໘ Burmese ၁၀၅၀၀၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1050048, here are decompositions:

7 + 1050041 = 1050048
17 + 1050031 = 1050048
37 + 1050011 = 1050048
71 + 1049977 = 1050048
107 + 1049941 = 1050048
149 + 1049899 = 1050048
151 + 1049897 = 1050048
157 + 1049891 = 1050048

Showing the first eight; more decompositions exist.

Hex color

#1005C0

RGB(16, 5, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.5.192.

Address: 0.16.5.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.16.5.192

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 0048 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)

0048-05-01 (DMMYYYY (Euro, single-digit day))
0048-10-05 (MMDYYYY (US, single-digit day))
0048-05-10 (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 1,050,048 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 US1,050,048 on Google Patents ↗ Look up on USPTO ↗