Live analysis

1,008,028

1,008,028 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.).

1,008,028 (one million eight thousand twenty-eight) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 7² × 37 × 139. Its proper divisors sum to 1,114,652, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF619C.

Abundant Number Cube-Free Happy Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,008,016 1,008,017 1,008,018 1,008,019 1,008,020 1,008,021 1,008,022 1,008,023 1,008,024 1,008,025 1,008,026 1,008,027 1,008,028 1,008,029 1,008,030 1,008,031 1,008,032 1,008,033 1,008,034 1,008,035 1,008,036 1,008,037 1,008,038 1,008,039 1,008,040

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 8,208,001
Recamán's sequence: a(349,395) = 1,008,028
Square (n²): 1,016,120,448,784
Cube (n³): 1,024,277,863,746,837,952
Divisor count: 36
σ(n) — sum of divisors: 2,122,680
φ(n) — Euler's totient: 417,312
Sum of prime factors: 194

Primality

Prime factorization: 2 ² × 7 ² × 37 × 139

Nearest primes: 1,008,017 (−11) · 1,008,031 (+3)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 7 · 14 · 28 · 37 · 49 · 74 · 98 · 139 · 148 · 196 · 259 · 278 · 518 · 556 · 973 · 1036 · 1813 · 1946 · 3626 · 3892 · 5143 · 6811 · 7252 · 10286 · 13622 · 20572 · 27244 · 36001 · 72002 · 144004 · 252007 · 504014 (half) · 1008028

Aliquot sum (sum of proper divisors): 1,114,652

Factor pairs (a × b = 1,008,028)

1 × 1008028

2 × 504014

4 × 252007

7 × 144004

14 × 72002

28 × 36001

37 × 27244

49 × 20572

74 × 13622

98 × 10286

139 × 7252

148 × 6811

196 × 5143

259 × 3892

278 × 3626

518 × 1946

556 × 1813

973 × 1036

First multiples

1,008,028 · 2,016,056 (double) · 3,024,084 · 4,032,112 · 5,040,140 · 6,048,168 · 7,056,196 · 8,064,224 · 9,072,252 · 10,080,280

Sums & aliquot sequence

As consecutive integers: 144,001 + 144,002 + … + 144,007 126,000 + 126,001 + … + 126,007 27,226 + 27,227 + … + 27,262 20,548 + 20,549 + … + 20,596

Aliquot sequence: 1,008,028 → 1,114,652 → 1,432,564 → 1,484,126 → 1,076,770 → 996,830 → 820,594 → 463,886 → 231,946 → 177,302 → 88,654 → 51,386 → 25,696 → 30,248 → 29,752 → 26,048 → 31,864 — unresolved within range

Continued fraction of √n

√1,008,028 = [1004; (167, 2, 1, 222, 2, 4, 18, 2, 1, 2, 3, 24, 2, 40, 2, 24, 3, 2, 1, 2, 18, 4, 2, 222, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: one million eight thousand twenty-eight
Ordinal: 1008028th
Binary: 11110110000110011100
Octal: 3660634
Hexadecimal: 0xF619C
Base64: D2Gc
One's complement: 4,293,959,267 (32-bit)
Scientific notation: 1.008028 × 10⁶
As a duration: 1,008,028 s = 11 days, 16 hours, 28 seconds

In other bases

ternary (3) 1220012202101

quaternary (4) 3312012130

quinary (5) 224224103

senary (6) 33334444

septenary (7) 11365600

nonary (9) 1805671

undecimal (11) 62938a

duodecimal (12) 407424

tridecimal (13) 293a88

tetradecimal (14) 1c3500

pentadecimal (15) 14da1d

As an angle

1,008,028° = 2,800 × 360° + 28°

28° ≈ 0.489 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 · 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬八千零二十八
Chinese (financial): 壹佰萬捌仟零貳拾捌

In other modern scripts

Eastern Arabic ١٠٠٨٠٢٨ Devanagari १००८०२८ Bengali ১০০৮০২৮ Tamil ௧௦௦௮௦௨௮ Thai ๑๐๐๘๐๒๘ Tibetan ༡༠༠༨༠༢༨ Khmer ១០០៨០២៨ Lao ໑໐໐໘໐໒໘ Burmese ၁၀၀၈၀၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008028, here are decompositions:

11 + 1008017 = 1008028
71 + 1007957 = 1008028
89 + 1007939 = 1008028
107 + 1007921 = 1008028
137 + 1007891 = 1008028
167 + 1007861 = 1008028
227 + 1007801 = 1008028
239 + 1007789 = 1008028

Showing the first eight; more decompositions exist.

Hex color

#0F619C

RGB(15, 97, 156)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.97.156.

Address: 0.15.97.156
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.97.156

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 1,008,028 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 US1,008,028 on Google Patents ↗ Look up on USPTO ↗