Live analysis

1,005,048

1,005,048 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.).

1,005,048 (one million five thousand forty-eight) is an even 7-digit number. It is a composite number with 96 divisors, and factors as 2³ × 3⁵ × 11 × 47. Its proper divisors sum to 2,139,912, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF55F8.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Self Number Weird Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,005,036 1,005,037 1,005,038 1,005,039 1,005,040 1,005,041 1,005,042 1,005,043 1,005,044 1,005,045 1,005,046 1,005,047 1,005,048 1,005,049 1,005,050 1,005,051 1,005,052 1,005,053 1,005,054 1,005,055 1,005,056 1,005,057 1,005,058 1,005,059 1,005,060

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,405,001
Square (n²): 1,010,121,482,304
Cube (n³): 1,015,220,575,546,670,592
Divisor count: 96
σ(n) — sum of divisors: 3,144,960
φ(n) — Euler's totient: 298,080
Sum of prime factors: 79

Primality

Prime factorization: 2 ³ × 3 ⁵ × 11 × 47

Nearest primes: 1,005,041 (−7) · 1,005,049 (+1)

Divisors & multiples

All divisors (96)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 18 · 22 · 24 · 27 · 33 · 36 · 44 · 47 · 54 · 66 · 72 · 81 · 88 · 94 · 99 · 108 · 132 · 141 · 162 · 188 · 198 · 216 · 243 · 264 · 282 · 297 · 324 · 376 · 396 · 423 · 486 · 517 · 564 · 594 · 648 · 792 · 846 · 891 · 972 · 1034 · 1128 · 1188 · 1269 · 1551 · 1692 · 1782 · 1944 · 2068 · 2376 · 2538 · 2673 · 3102 · 3384 · 3564 · 3807 · 4136 · 4653 · 5076 · 5346 · 6204 · 7128 · 7614 · 9306 · 10152 · 10692 · 11421 · 12408 · 13959 · 15228 · 18612 · 21384 · 22842 · 27918 · 30456 · 37224 · 41877 · 45684 · 55836 · 83754 · 91368 · 111672 · 125631 · 167508 · 251262 · 335016 · 502524 (half) · 1005048

Aliquot sum (sum of proper divisors): 2,139,912

Factor pairs (a × b = 1,005,048)

1 × 1005048

2 × 502524

3 × 335016

4 × 251262

6 × 167508

8 × 125631

9 × 111672

11 × 91368

12 × 83754

18 × 55836

22 × 45684

24 × 41877

27 × 37224

33 × 30456

36 × 27918

44 × 22842

47 × 21384

54 × 18612

66 × 15228

72 × 13959

81 × 12408

88 × 11421

94 × 10692

99 × 10152

108 × 9306

132 × 7614

141 × 7128

162 × 6204

188 × 5346

198 × 5076

216 × 4653

243 × 4136

264 × 3807

282 × 3564

297 × 3384

324 × 3102

376 × 2673

396 × 2538

423 × 2376

486 × 2068

517 × 1944

564 × 1782

594 × 1692

648 × 1551

792 × 1269

846 × 1188

891 × 1128

972 × 1034

First multiples

1,005,048 · 2,010,096 (double) · 3,015,144 · 4,020,192 · 5,025,240 · 6,030,288 · 7,035,336 · 8,040,384 · 9,045,432 · 10,050,480

Sums & aliquot sequence

As consecutive integers: 335,015 + 335,016 + 335,017 111,668 + 111,669 + … + 111,676 91,363 + 91,364 + … + 91,373 62,808 + 62,809 + … + 62,823

Aliquot sequence: 1,005,048 → 2,139,912 → 3,804,888 → 5,707,392 → 9,715,008 → 15,989,792 → 27,334,048 → 34,168,064 → 47,264,896 → 71,707,904 → 79,856,740 → 87,842,456 → 89,531,944 → 78,340,466 → 41,387,578 → 21,599,462 → 10,799,734 — unresolved within range

Continued fraction of √n

√1,005,048 = [1002; (1, 1, 11, 1, 1, 40, 2, 1, 1, 24, 6, 2, 7, 1, 1, 1, 1, 1, 7, 2, 6, 24, 1, 1, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: one million five thousand forty-eight
Ordinal: 1005048th
Binary: 11110101010111111000
Octal: 3652770
Hexadecimal: 0xF55F8
Base64: D1X4
One's complement: 4,293,962,247 (32-bit)
Scientific notation: 1.005048 × 10⁶
As a duration: 1,005,048 s = 11 days, 15 hours, 10 minutes, 48 seconds

In other bases

ternary (3) 1220001200000

quaternary (4) 3311113320

quinary (5) 224130143

senary (6) 33313000

septenary (7) 11354112

nonary (9) 1801600

undecimal (11) 627120

duodecimal (12) 405760

tridecimal (13) 292605

tetradecimal (14) 1c23b2

pentadecimal (15) 14cbd3

As an angle

1,005,048° = 2,791 × 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 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬五千零四十八
Chinese (financial): 壹佰萬伍仟零肆拾捌

In other modern scripts

Eastern Arabic ١٠٠٥٠٤٨ Devanagari १००५०४८ Bengali ১০০৫০৪৮ Tamil ௧௦௦௫௦௪௮ Thai ๑๐๐๕๐๔๘ Tibetan ༡༠༠༥༠༤༨ Khmer ១០០៥០៤៨ Lao ໑໐໐໕໐໔໘ Burmese ၁၀၀၅၀၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1005048, here are decompositions:

7 + 1005041 = 1005048
19 + 1005029 = 1005048
29 + 1005019 = 1005048
41 + 1005007 = 1005048
61 + 1004987 = 1005048
67 + 1004981 = 1005048
71 + 1004977 = 1005048
131 + 1004917 = 1005048

Showing the first eight; more decompositions exist.

Hex color

#0F55F8

RGB(15, 85, 248)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.85.248.

Address: 0.15.85.248
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.85.248

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 1,005,048 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 US1,005,048 on Google Patents ↗ Look up on USPTO ↗