Live analysis

1,007,028

1,007,028 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.).

1,007,028 (one million seven thousand twenty-eight) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 11 × 2,543. Its proper divisors sum to 1,771,020, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5DB4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

1,007,016 1,007,017 1,007,018 1,007,019 1,007,020 1,007,021 1,007,022 1,007,023 1,007,024 1,007,025 1,007,026 1,007,027 1,007,028 1,007,029 1,007,030 1,007,031 1,007,032 1,007,033 1,007,034 1,007,035 1,007,036 1,007,037 1,007,038 1,007,039 1,007,040

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,207,001
Square (n²): 1,014,105,392,784
Cube (n³): 1,021,232,525,484,485,952
Divisor count: 36
σ(n) — sum of divisors: 2,778,048
φ(n) — Euler's totient: 305,040
Sum of prime factors: 2,564

Primality

Prime factorization: 2 ² × 3 ² × 11 × 2543

Nearest primes: 1,007,023 (−5) · 1,007,047 (+19)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 11 · 12 · 18 · 22 · 33 · 36 · 44 · 66 · 99 · 132 · 198 · 396 · 2543 · 5086 · 7629 · 10172 · 15258 · 22887 · 27973 · 30516 · 45774 · 55946 · 83919 · 91548 · 111892 · 167838 · 251757 · 335676 · 503514 (half) · 1007028

Aliquot sum (sum of proper divisors): 1,771,020

Factor pairs (a × b = 1,007,028)

1 × 1007028

2 × 503514

3 × 335676

4 × 251757

6 × 167838

9 × 111892

11 × 91548

12 × 83919

18 × 55946

22 × 45774

33 × 30516

36 × 27973

44 × 22887

66 × 15258

99 × 10172

132 × 7629

198 × 5086

396 × 2543

First multiples

1,007,028 · 2,014,056 (double) · 3,021,084 · 4,028,112 · 5,035,140 · 6,042,168 · 7,049,196 · 8,056,224 · 9,063,252 · 10,070,280

Sums & aliquot sequence

As consecutive integers: 335,675 + 335,676 + 335,677 125,875 + 125,876 + … + 125,882 111,888 + 111,889 + … + 111,896 91,543 + 91,544 + … + 91,553

Aliquot sequence: 1,007,028 → 1,771,020 → 3,601,620 → 9,135,468 → 13,957,056 → 28,288,224 → 57,139,776 → 114,970,624 → 114,950,746 → 62,358,254 → 44,671,474 → 27,831,950 → 23,935,570 → 19,308,998 → 10,393,402 → 5,196,704 → 5,090,944 — unresolved within range

Continued fraction of √n

√1,007,028 = [1003; (1, 1, 31, 2, 1, 3, 1, 40, 5, 1, 3, 6, 2, 2, 5, 3, 4, 1, 6, 1, 4, 1, 1, 6, …)]

Representations

In words: one million seven thousand twenty-eight
Ordinal: 1007028th
Binary: 11110101110110110100
Octal: 3656664
Hexadecimal: 0xF5DB4
Base64: D120
One's complement: 4,293,960,267 (32-bit)
Scientific notation: 1.007028 × 10⁶
As a duration: 1,007,028 s = 11 days, 15 hours, 43 minutes, 48 seconds

In other bases

ternary (3) 1220011101100

quaternary (4) 3311312310

quinary (5) 224211103

senary (6) 33330100

septenary (7) 11362641

nonary (9) 1804340

undecimal (11) 628660

duodecimal (12) 406930

tridecimal (13) 293499

tetradecimal (14) 1c2dc8

pentadecimal (15) 14d5a3

As an angle

1,007,028° = 2,797 × 360° + 108°

108° ≈ 1.885 rad

Compass bearing: ESE (east-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬七千零二十八
Chinese (financial): 壹佰萬柒仟零貳拾捌

In other modern scripts

Eastern Arabic ١٠٠٧٠٢٨ Devanagari १००७०२८ Bengali ১০০৭০২৮ Tamil ௧௦௦௭௦௨௮ Thai ๑๐๐๗๐๒๘ Tibetan ༡༠༠༧༠༢༨ Khmer ១០០៧០២៨ Lao ໑໐໐໗໐໒໘ Burmese ၁၀၀၇၀၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007028, here are decompositions:

5 + 1007023 = 1007028
7 + 1007021 = 1007028
37 + 1006991 = 1007028
41 + 1006987 = 1007028
59 + 1006969 = 1007028
79 + 1006949 = 1007028
131 + 1006897 = 1007028
137 + 1006891 = 1007028

Showing the first eight; more decompositions exist.

Hex color

#0F5DB4

RGB(15, 93, 180)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.180.

Address: 0.15.93.180
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.93.180

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 1,007,028 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 US1,007,028 on Google Patents ↗ Look up on USPTO ↗