Live analysis

1,004,028

1,004,028 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.).

1,004,028 (one million four thousand twenty-eight) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 31 × 2,699. Its proper divisors sum to 1,415,172, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF51FC.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,004,016 1,004,017 1,004,018 1,004,019 1,004,020 1,004,021 1,004,022 1,004,023 1,004,024 1,004,025 1,004,026 1,004,027 1,004,028 1,004,029 1,004,030 1,004,031 1,004,032 1,004,033 1,004,034 1,004,035 1,004,036 1,004,037 1,004,038 1,004,039 1,004,040

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 8,204,001
Square (n²): 1,008,072,224,784
Cube (n³): 1,012,132,739,705,429,952
Divisor count: 24
σ(n) — sum of divisors: 2,419,200
φ(n) — Euler's totient: 323,760
Sum of prime factors: 2,737

Primality

Prime factorization: 2 ² × 3 × 31 × 2699

Nearest primes: 1,004,027 (−1) · 1,004,033 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 31 · 62 · 93 · 124 · 186 · 372 · 2699 · 5398 · 8097 · 10796 · 16194 · 32388 · 83669 · 167338 · 251007 · 334676 · 502014 (half) · 1004028

Aliquot sum (sum of proper divisors): 1,415,172

Factor pairs (a × b = 1,004,028)

1 × 1004028

2 × 502014

3 × 334676

4 × 251007

6 × 167338

12 × 83669

31 × 32388

62 × 16194

93 × 10796

124 × 8097

186 × 5398

372 × 2699

First multiples

1,004,028 · 2,008,056 (double) · 3,012,084 · 4,016,112 · 5,020,140 · 6,024,168 · 7,028,196 · 8,032,224 · 9,036,252 · 10,040,280

Sums & aliquot sequence

As consecutive integers: 334,675 + 334,676 + 334,677 125,500 + 125,501 + … + 125,507 41,823 + 41,824 + … + 41,846 32,373 + 32,374 + … + 32,403

Aliquot sequence: 1,004,028 → 1,415,172 → 2,262,012 → 3,044,100 → 5,948,380 → 6,936,380 → 9,362,980 → 12,958,676 → 9,719,014 → 4,859,510 → 4,019,386 → 2,871,014 → 1,662,226 → 977,834 → 761,398 → 509,978 → 378,022 — unresolved within range

Continued fraction of √n

√1,004,028 = [1002; (83, 1, 1, 500, 1, 1, 83, 2004)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one million four thousand twenty-eight
Ordinal: 1004028th
Binary: 11110101000111111100
Octal: 3650774
Hexadecimal: 0xF51FC
Base64: D1H8
One's complement: 4,293,963,267 (32-bit)
Scientific notation: 1.004028 × 10⁶
As a duration: 1,004,028 s = 11 days, 14 hours, 53 minutes, 48 seconds

In other bases

ternary (3) 1220000021020

quaternary (4) 3311013330

quinary (5) 224112103

senary (6) 33304140

septenary (7) 11351124

nonary (9) 1800236

undecimal (11) 626383

duodecimal (12) 405050

tridecimal (13) 291ccc

tetradecimal (14) 1c1c84

pentadecimal (15) 14c753

As an angle

1,004,028° = 2,788 × 360° + 348°

348° ≈ 6.074 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬四千零二十八
Chinese (financial): 壹佰萬肆仟零貳拾捌

In other modern scripts

Eastern Arabic ١٠٠٤٠٢٨ Devanagari १००४०२८ Bengali ১০০৪০২৮ Tamil ௧௦௦௪௦௨௮ Thai ๑๐๐๔๐๒๘ Tibetan ༡༠༠༤༠༢༨ Khmer ១០០៤០២៨ Lao ໑໐໐໔໐໒໘ Burmese ၁၀၀၄၀၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004028, here are decompositions:

71 + 1003957 = 1004028
97 + 1003931 = 1004028
131 + 1003897 = 1004028
139 + 1003889 = 1004028
149 + 1003879 = 1004028
211 + 1003817 = 1004028
241 + 1003787 = 1004028
257 + 1003771 = 1004028

Showing the first eight; more decompositions exist.

Hex color

#0F51FC

RGB(15, 81, 252)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.81.252.

Address: 0.15.81.252
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.81.252

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 1,004,028 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 US1,004,028 on Google Patents ↗ Look up on USPTO ↗