Live analysis

1,001,028

1,001,028 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.).

1,001,028 (one million one thousand twenty-eight) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 7 × 17 × 701. Its proper divisors sum to 1,829,436, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4644.

Abundant Number Arithmetic Number Cube-Free Happy Number Harshad / Niven Odious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,001,016 1,001,017 1,001,018 1,001,019 1,001,020 1,001,021 1,001,022 1,001,023 1,001,024 1,001,025 1,001,026 1,001,027 1,001,028 1,001,029 1,001,030 1,001,031 1,001,032 1,001,033 1,001,034 1,001,035 1,001,036 1,001,037 1,001,038 1,001,039 1,001,040

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 8,201,001
Square (n²): 1,002,057,056,784
Cube (n³): 1,003,087,171,438,373,952
Divisor count: 48
σ(n) — sum of divisors: 2,830,464
φ(n) — Euler's totient: 268,800
Sum of prime factors: 732

Primality

Prime factorization: 2 ² × 3 × 7 × 17 × 701

Nearest primes: 1,001,027 (−1) · 1,001,041 (+13)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 17 · 21 · 28 · 34 · 42 · 51 · 68 · 84 · 102 · 119 · 204 · 238 · 357 · 476 · 701 · 714 · 1402 · 1428 · 2103 · 2804 · 4206 · 4907 · 8412 · 9814 · 11917 · 14721 · 19628 · 23834 · 29442 · 35751 · 47668 · 58884 · 71502 · 83419 · 143004 · 166838 · 250257 · 333676 · 500514 (half) · 1001028

Aliquot sum (sum of proper divisors): 1,829,436

Factor pairs (a × b = 1,001,028)

1 × 1001028

2 × 500514

3 × 333676

4 × 250257

6 × 166838

7 × 143004

12 × 83419

14 × 71502

17 × 58884

21 × 47668

28 × 35751

34 × 29442

42 × 23834

51 × 19628

68 × 14721

84 × 11917

102 × 9814

119 × 8412

204 × 4907

238 × 4206

357 × 2804

476 × 2103

701 × 1428

714 × 1402

First multiples

1,001,028 · 2,002,056 (double) · 3,003,084 · 4,004,112 · 5,005,140 · 6,006,168 · 7,007,196 · 8,008,224 · 9,009,252 · 10,010,280

Sums & aliquot sequence

As consecutive integers: 333,675 + 333,676 + 333,677 143,001 + 143,002 + … + 143,007 125,125 + 125,126 + … + 125,132 58,876 + 58,877 + … + 58,892

Aliquot sequence: 1,001,028 → 1,829,436 → 3,224,004 → 5,528,460 → 12,163,956 → 21,313,740 → 49,133,364 → 82,339,404 → 142,485,924 → 249,823,644 → 416,372,964 → 693,955,164 → 1,368,654,756 → 2,284,856,028 → 4,823,595,140 → 7,669,927,804 → 9,121,771,652 — unresolved within range

Continued fraction of √n

√1,001,028 = [1000; (1, 1, 17, 1, 1, 8, 1, 2, 2, 2, 1, 1, 4, 2, 1, 2, 1, 1, 2, 1, 4, 1, 9, 31, …)]

Representations

In words: one million one thousand twenty-eight
Ordinal: 1001028th
Binary: 11110100011001000100
Octal: 3643104
Hexadecimal: 0xF4644
Base64: D0ZE
One's complement: 4,293,966,267 (32-bit)
Scientific notation: 1.001028 × 10⁶
As a duration: 1,001,028 s = 11 days, 14 hours, 3 minutes, 48 seconds

In other bases

ternary (3) 1212212011010

quaternary (4) 3310121010

quinary (5) 224013103

senary (6) 33242220

septenary (7) 11336310

nonary (9) 1785133

undecimal (11) 6240a6

duodecimal (12) 403370

tridecimal (13) 290832

tetradecimal (14) 1c0b40

pentadecimal (15) 14b903

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千零二十八
Chinese (financial): 壹佰萬壹仟零貳拾捌

In other modern scripts

Eastern Arabic ١٠٠١٠٢٨ Devanagari १००१०२८ Bengali ১০০১০২৮ Tamil ௧௦௦௧௦௨௮ Thai ๑๐๐๑๐๒๘ Tibetan ༡༠༠༡༠༢༨ Khmer ១០០១០២៨ Lao ໑໐໐໑໐໒໘ Burmese ၁၀၀၁၀၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001028, here are decompositions:

5 + 1001023 = 1001028
11 + 1001017 = 1001028
29 + 1000999 = 1001028
47 + 1000981 = 1001028
59 + 1000969 = 1001028
97 + 1000931 = 1001028
107 + 1000921 = 1001028
109 + 1000919 = 1001028

Showing the first eight; more decompositions exist.

Hex color

#0F4644

RGB(15, 70, 68)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.68.

Address: 0.15.70.68
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.68

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 1,001,028 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 US1,001,028 on Google Patents ↗ Look up on USPTO ↗