Live analysis

1,004,096

1,004,096 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.).

1,004,096 (one million four thousand ninety-six) is an even 7-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 29 × 541. Its proper divisors sum to 1,060,924, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5240.

Abundant Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,004,084 1,004,085 1,004,086 1,004,087 1,004,088 1,004,089 1,004,090 1,004,091 1,004,092 1,004,093 1,004,094 1,004,095 1,004,096 1,004,097 1,004,098 1,004,099 1,004,100 1,004,101 1,004,102 1,004,103 1,004,104 1,004,105 1,004,106 1,004,107 1,004,108

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 6,904,001
Square (n²): 1,008,208,777,216
Cube (n³): 1,012,338,400,367,476,736
Divisor count: 28
σ(n) — sum of divisors: 2,065,020
φ(n) — Euler's totient: 483,840
Sum of prime factors: 582

Primality

Prime factorization: 2 ⁶ × 29 × 541

Nearest primes: 1,004,089 (−7) · 1,004,117 (+21)

Divisors & multiples

All divisors (28)

1 · 2 · 4 · 8 · 16 · 29 · 32 · 58 · 64 · 116 · 232 · 464 · 541 · 928 · 1082 · 1856 · 2164 · 4328 · 8656 · 15689 · 17312 · 31378 · 34624 · 62756 · 125512 · 251024 · 502048 (half) · 1004096

Aliquot sum (sum of proper divisors): 1,060,924

Factor pairs (a × b = 1,004,096)

1 × 1004096

2 × 502048

4 × 251024

8 × 125512

16 × 62756

29 × 34624

32 × 31378

58 × 17312

64 × 15689

116 × 8656

232 × 4328

464 × 2164

541 × 1856

928 × 1082

First multiples

1,004,096 · 2,008,192 (double) · 3,012,288 · 4,016,384 · 5,020,480 · 6,024,576 · 7,028,672 · 8,032,768 · 9,036,864 · 10,040,960

Sums & aliquot sequence

As a sum of two squares: 64² + 1,000² = 680² + 736²

As a sum of two cubes: 16³ + 100³

As consecutive integers: 34,610 + 34,611 + … + 34,638 7,781 + 7,782 + … + 7,908 1,586 + 1,587 + … + 2,126

Aliquot sequence: 1,004,096 → 1,060,924 → 795,700 → 970,680 → 1,941,720 → 4,417,320 → 8,983,320 → 17,967,000 → 39,653,160 → 79,725,720 → 159,451,800 → 370,871,400 → 778,831,800 → 1,635,548,640 → 4,008,686,880 → 10,970,999,520 — keeps growing

Continued fraction of √n

√1,004,096 = [1002; (21, 1, 3, 1, 1, 1, 1, 3, 5, 1, 1, 3, 3, 3, 2, 1, 2, 6, 31, 6, 2, 1, 2, 3, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: one million four thousand ninety-six
Ordinal: 1004096th
Binary: 11110101001001000000
Octal: 3651100
Hexadecimal: 0xF5240
Base64: D1JA
One's complement: 4,293,963,199 (32-bit)
Scientific notation: 1.004096 × 10⁶
As a duration: 1,004,096 s = 11 days, 14 hours, 54 minutes, 56 seconds

In other bases

ternary (3) 1220000100202

quaternary (4) 3311021000

quinary (5) 224112341

senary (6) 33304332

septenary (7) 11351252

nonary (9) 1800322

undecimal (11) 626435

duodecimal (12) 4050a8

tridecimal (13) 292052

tetradecimal (14) 1c1cd2

pentadecimal (15) 14c79b

As an angle

1,004,096° = 2,789 × 360° + 56°

56° ≈ 0.977 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬四千零九十六
Chinese (financial): 壹佰萬肆仟零玖拾陸

In other modern scripts

Eastern Arabic ١٠٠٤٠٩٦ Devanagari १००४०९६ Bengali ১০০৪০৯৬ Tamil ௧௦௦௪௦௯௬ Thai ๑๐๐๔๐๙๖ Tibetan ༡༠༠༤༠༩༦ Khmer ១០០៤០៩៦ Lao ໑໐໐໔໐໙໖ Burmese ၁၀၀၄၀၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004096, here are decompositions:

7 + 1004089 = 1004096
19 + 1004077 = 1004096
43 + 1004053 = 1004096
139 + 1003957 = 1004096
199 + 1003897 = 1004096
277 + 1003819 = 1004096
349 + 1003747 = 1004096
367 + 1003729 = 1004096

Showing the first eight; more decompositions exist.

Hex color

#0F5240

RGB(15, 82, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.64.

Address: 0.15.82.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.64

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 1,004,096 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 US1,004,096 on Google Patents ↗ Look up on USPTO ↗