Live analysis

1,013,028

1,013,028 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.).

1,013,028 (one million thirteen thousand twenty-eight) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 29 × 41 × 71. Its proper divisors sum to 1,527,132, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7524.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,016 1,013,017 1,013,018 1,013,019 1,013,020 1,013,021 1,013,022 1,013,023 1,013,024 1,013,025 1,013,026 1,013,027 1,013,028 1,013,029 1,013,030 1,013,031 1,013,032 1,013,033 1,013,034 1,013,035 1,013,036 1,013,037 1,013,038 1,013,039 1,013,040

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 8,203,101
Square (n²): 1,026,225,728,784
Cube (n³): 1,039,595,397,578,597,952
Divisor count: 48
σ(n) — sum of divisors: 2,540,160
φ(n) — Euler's totient: 313,600
Sum of prime factors: 148

Primality

Prime factorization: 2 ² × 3 × 29 × 41 × 71

Nearest primes: 1,013,009 (−19) · 1,013,029 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 12 · 29 · 41 · 58 · 71 · 82 · 87 · 116 · 123 · 142 · 164 · 174 · 213 · 246 · 284 · 348 · 426 · 492 · 852 · 1189 · 2059 · 2378 · 2911 · 3567 · 4118 · 4756 · 5822 · 6177 · 7134 · 8236 · 8733 · 11644 · 12354 · 14268 · 17466 · 24708 · 34932 · 84419 · 168838 · 253257 · 337676 · 506514 (half) · 1013028

Aliquot sum (sum of proper divisors): 1,527,132

Factor pairs (a × b = 1,013,028)

1 × 1013028

2 × 506514

3 × 337676

4 × 253257

6 × 168838

12 × 84419

29 × 34932

41 × 24708

58 × 17466

71 × 14268

82 × 12354

87 × 11644

116 × 8733

123 × 8236

142 × 7134

164 × 6177

174 × 5822

213 × 4756

246 × 4118

284 × 3567

348 × 2911

426 × 2378

492 × 2059

852 × 1189

First multiples

1,013,028 · 2,026,056 (double) · 3,039,084 · 4,052,112 · 5,065,140 · 6,078,168 · 7,091,196 · 8,104,224 · 9,117,252 · 10,130,280

Sums & aliquot sequence

As consecutive integers: 337,675 + 337,676 + 337,677 126,625 + 126,626 + … + 126,632 42,198 + 42,199 + … + 42,221 34,918 + 34,919 + … + 34,946

Aliquot sequence: 1,013,028 → 1,527,132 → 2,036,204 → 1,642,324 → 1,280,876 → 960,664 → 930,596 → 718,156 → 622,484 → 466,870 → 373,514 → 186,760 → 331,640 → 414,640 → 576,368 → 704,800 → 1,017,746 — unresolved within range

Continued fraction of √n

√1,013,028 = [1006; (2, 34, 1, 4, 2, 2, 1, 4, 1, 6, 2, 3, 1, 4, 1, 3, 14, 1, 86, 1, 1, 2, 2, 1, …)]

Representations

In words: one million thirteen thousand twenty-eight
Ordinal: 1013028th
Binary: 11110111010100100100
Octal: 3672444
Hexadecimal: 0xF7524
Base64: D3Uk
One's complement: 4,293,954,267 (32-bit)
Scientific notation: 1.013028 × 10⁶
As a duration: 1,013,028 s = 11 days, 17 hours, 23 minutes, 48 seconds

In other bases

ternary (3) 1220110121120

quaternary (4) 3313110210

quinary (5) 224404103

senary (6) 33413540

septenary (7) 11416302

nonary (9) 1813546

undecimal (11) 632115

duodecimal (12) 40a2b0

tridecimal (13) 296133

tetradecimal (14) 1c5272

pentadecimal (15) 150253

As an angle

1,013,028° = 2,813 × 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 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千零二十八
Chinese (financial): 壹佰零壹萬參仟零貳拾捌

In other modern scripts

Eastern Arabic ١٠١٣٠٢٨ Devanagari १०१३०२८ Bengali ১০১৩০২৮ Tamil ௧௦௧௩௦௨௮ Thai ๑๐๑๓๐๒๘ Tibetan ༡༠༡༣༠༢༨ Khmer ១០១៣០២៨ Lao ໑໐໑໓໐໒໘ Burmese ၁၀၁၃၀၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013028, here are decompositions:

19 + 1013009 = 1013028
31 + 1012997 = 1013028
47 + 1012981 = 1013028
61 + 1012967 = 1013028
97 + 1012931 = 1013028
109 + 1012919 = 1013028
167 + 1012861 = 1013028
197 + 1012831 = 1013028

Showing the first eight; more decompositions exist.

Hex color

#0F7524

RGB(15, 117, 36)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.36.

Address: 0.15.117.36
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.36

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 3028 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3028-10-01 (MMDYYYY (US, single-digit day))
3028-01-10 (DDMYYYY (Euro, single-digit month))

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 1,013,028 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 US1,013,028 on Google Patents ↗ Look up on USPTO ↗