Live analysis

1,013,328

1,013,328 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.).

1,013,328 (one million thirteen thousand three hundred twenty-eight) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 31 × 227. Its proper divisors sum to 1,926,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7650.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,316 1,013,317 1,013,318 1,013,319 1,013,320 1,013,321 1,013,322 1,013,323 1,013,324 1,013,325 1,013,326 1,013,327 1,013,328 1,013,329 1,013,330 1,013,331 1,013,332 1,013,333 1,013,334 1,013,335 1,013,336 1,013,337 1,013,338 1,013,339 1,013,340

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,233,101
Square (n²): 1,026,833,635,584
Cube (n³): 1,040,519,274,279,063,552
Divisor count: 60
σ(n) — sum of divisors: 2,940,288
φ(n) — Euler's totient: 325,440
Sum of prime factors: 272

Primality

Prime factorization: 2 ⁴ × 3 ² × 31 × 227

Nearest primes: 1,013,321 (−7) · 1,013,329 (+1)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 31 · 36 · 48 · 62 · 72 · 93 · 124 · 144 · 186 · 227 · 248 · 279 · 372 · 454 · 496 · 558 · 681 · 744 · 908 · 1116 · 1362 · 1488 · 1816 · 2043 · 2232 · 2724 · 3632 · 4086 · 4464 · 5448 · 7037 · 8172 · 10896 · 14074 · 16344 · 21111 · 28148 · 32688 · 42222 · 56296 · 63333 · 84444 · 112592 · 126666 · 168888 · 253332 · 337776 · 506664 (half) · 1013328

Aliquot sum (sum of proper divisors): 1,926,960

Factor pairs (a × b = 1,013,328)

1 × 1013328

2 × 506664

3 × 337776

4 × 253332

6 × 168888

8 × 126666

9 × 112592

12 × 84444

16 × 63333

18 × 56296

24 × 42222

31 × 32688

36 × 28148

48 × 21111

62 × 16344

72 × 14074

93 × 10896

124 × 8172

144 × 7037

186 × 5448

227 × 4464

248 × 4086

279 × 3632

372 × 2724

454 × 2232

496 × 2043

558 × 1816

681 × 1488

744 × 1362

908 × 1116

First multiples

1,013,328 · 2,026,656 (double) · 3,039,984 · 4,053,312 · 5,066,640 · 6,079,968 · 7,093,296 · 8,106,624 · 9,119,952 · 10,133,280

Sums & aliquot sequence

As consecutive integers: 337,775 + 337,776 + 337,777 112,588 + 112,589 + … + 112,596 32,673 + 32,674 + … + 32,703 31,651 + 31,652 + … + 31,682

Aliquot sequence: 1,013,328 → 1,926,960 → 5,310,672 → 9,355,056 → 15,595,728 → 27,068,208 → 45,117,648 → 89,798,320 → 125,723,600 → 186,101,680 → 260,548,304 → 260,549,296 → 341,697,872 → 341,698,864 → 400,753,616 → 403,504,432 → 422,315,728 — unresolved within range

Continued fraction of √n

√1,013,328 = [1006; (1, 1, 1, 3, 1, 4, 1, 3, 1, 3, 1, 3, 2, 1, 1, 6, 2, 1, 1, 1, 16, 3, 2, 3, …)]

Representations

In words: one million thirteen thousand three hundred twenty-eight
Ordinal: 1013328th
Binary: 11110111011001010000
Octal: 3673120
Hexadecimal: 0xF7650
Base64: D3ZQ
One's complement: 4,293,953,967 (32-bit)
Scientific notation: 1.013328 × 10⁶
As a duration: 1,013,328 s = 11 days, 17 hours, 28 minutes, 48 seconds

In other bases

ternary (3) 1220111000200

quaternary (4) 3313121100

quinary (5) 224411303

senary (6) 33415200

septenary (7) 11420211

nonary (9) 1814020

undecimal (11) 632368

duodecimal (12) 40a500

tridecimal (13) 296304

tetradecimal (14) 1c5408

pentadecimal (15) 1503a3

As an angle

1,013,328° = 2,814 × 360° + 288°

288° ≈ 5.027 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千三百二十八
Chinese (financial): 壹佰零壹萬參仟參佰貳拾捌

In other modern scripts

Eastern Arabic ١٠١٣٣٢٨ Devanagari १०१३३२८ Bengali ১০১৩৩২৮ Tamil ௧௦௧௩௩௨௮ Thai ๑๐๑๓๓๒๘ Tibetan ༡༠༡༣༣༢༨ Khmer ១០១៣៣២៨ Lao ໑໐໑໓໓໒໘ Burmese ၁၀၁၃၃၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013328, here are decompositions:

7 + 1013321 = 1013328
37 + 1013291 = 1013328
61 + 1013267 = 1013328
79 + 1013249 = 1013328
89 + 1013239 = 1013328
101 + 1013227 = 1013328
131 + 1013197 = 1013328
331 + 1012997 = 1013328

Showing the first eight; more decompositions exist.

Hex color

#0F7650

RGB(15, 118, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.80.

Address: 0.15.118.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.80

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3328 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3328-10-01 (MMDYYYY (US, single-digit day))
3328-01-10 (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 1,013,328 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 US1,013,328 on Google Patents ↗ Look up on USPTO ↗