Live analysis

1,003,428

1,003,428 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.).

1,003,428 (one million three thousand four hundred twenty-eight) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2² × 3⁴ × 19 × 163. Its proper divisors sum to 1,774,732, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4FA4.

Abundant Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,003,416 1,003,417 1,003,418 1,003,419 1,003,420 1,003,421 1,003,422 1,003,423 1,003,424 1,003,425 1,003,426 1,003,427 1,003,428 1,003,429 1,003,430 1,003,431 1,003,432 1,003,433 1,003,434 1,003,435 1,003,436 1,003,437 1,003,438 1,003,439 1,003,440

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,243,001
Square (n²): 1,006,867,751,184
Cube (n³): 1,010,319,293,835,058,752
Divisor count: 60
σ(n) — sum of divisors: 2,778,160
φ(n) — Euler's totient: 314,928
Sum of prime factors: 198

Primality

Prime factorization: 2 ² × 3 ⁴ × 19 × 163

Nearest primes: 1,003,417 (−11) · 1,003,433 (+5)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 19 · 27 · 36 · 38 · 54 · 57 · 76 · 81 · 108 · 114 · 162 · 163 · 171 · 228 · 324 · 326 · 342 · 489 · 513 · 652 · 684 · 978 · 1026 · 1467 · 1539 · 1956 · 2052 · 2934 · 3078 · 3097 · 4401 · 5868 · 6156 · 6194 · 8802 · 9291 · 12388 · 13203 · 17604 · 18582 · 26406 · 27873 · 37164 · 52812 · 55746 · 83619 · 111492 · 167238 · 250857 · 334476 · 501714 (half) · 1003428

Aliquot sum (sum of proper divisors): 1,774,732

Factor pairs (a × b = 1,003,428)

1 × 1003428

2 × 501714

3 × 334476

4 × 250857

6 × 167238

9 × 111492

12 × 83619

18 × 55746

19 × 52812

27 × 37164

36 × 27873

38 × 26406

54 × 18582

57 × 17604

76 × 13203

81 × 12388

108 × 9291

114 × 8802

162 × 6194

163 × 6156

171 × 5868

228 × 4401

324 × 3097

326 × 3078

342 × 2934

489 × 2052

513 × 1956

652 × 1539

684 × 1467

978 × 1026

First multiples

1,003,428 · 2,006,856 (double) · 3,010,284 · 4,013,712 · 5,017,140 · 6,020,568 · 7,023,996 · 8,027,424 · 9,030,852 · 10,034,280

Sums & aliquot sequence

As consecutive integers: 334,475 + 334,476 + 334,477 125,425 + 125,426 + … + 125,432 111,488 + 111,489 + … + 111,496 52,803 + 52,804 + … + 52,821

Aliquot sequence: 1,003,428 → 1,774,732 → 1,513,868 → 1,135,408 → 1,141,232 → 1,069,936 → 1,367,408 → 1,772,272 → 1,682,864 → 1,932,976 → 1,812,196 → 1,378,124 → 1,252,924 → 977,276 → 822,004 → 633,296 → 593,746 — unresolved within range

Continued fraction of √n

√1,003,428 = [1001; (1, 2, 2, 11, 4, 1, 1, 3, 1, 1, 1, 1, 3, 6, 8, 11, 1, 2, 1, 2, 1, 2, 1, 2, …)]

Representations

In words: one million three thousand four hundred twenty-eight
Ordinal: 1003428th
Binary: 11110100111110100100
Octal: 3647644
Hexadecimal: 0xF4FA4
Base64: D0+k
One's complement: 4,293,963,867 (32-bit)
Scientific notation: 1.003428 × 10⁶
As a duration: 1,003,428 s = 11 days, 14 hours, 43 minutes, 48 seconds

In other bases

ternary (3) 1212222110000

quaternary (4) 3310332210

quinary (5) 224102203

senary (6) 33301300

septenary (7) 11346306

nonary (9) 1788400

undecimal (11) 625988

duodecimal (12) 404830

tridecimal (13) 29195a

tetradecimal (14) 1c1976

pentadecimal (15) 14c4a3

As an angle

1,003,428° = 2,787 × 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 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬三千四百二十八
Chinese (financial): 壹佰萬參仟肆佰貳拾捌

In other modern scripts

Eastern Arabic ١٠٠٣٤٢٨ Devanagari १००३४२८ Bengali ১০০৩৪২৮ Tamil ௧௦௦௩௪௨௮ Thai ๑๐๐๓๔๒๘ Tibetan ༡༠༠༣༤༢༨ Khmer ១០០៣៤២៨ Lao ໑໐໐໓໔໒໘ Burmese ၁၀၀၃၄၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1003428, here are decompositions:

11 + 1003417 = 1003428
17 + 1003411 = 1003428
31 + 1003397 = 1003428
47 + 1003381 = 1003428
59 + 1003369 = 1003428
61 + 1003367 = 1003428
67 + 1003361 = 1003428
79 + 1003349 = 1003428

Showing the first eight; more decompositions exist.

Hex color

#0F4FA4

RGB(15, 79, 164)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.79.164.

Address: 0.15.79.164
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.79.164

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 1,003,428 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 US1,003,428 on Google Patents ↗ Look up on USPTO ↗