Live analysis

1,002,438

1,002,438 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.).

1,002,438 (one million two thousand four hundred thirty-eight) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 55,691. Its proper divisors sum to 1,169,550, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4BC6.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Harshad / Niven Moran Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

1,002,426 1,002,427 1,002,428 1,002,429 1,002,430 1,002,431 1,002,432 1,002,433 1,002,434 1,002,435 1,002,436 1,002,437 1,002,438 1,002,439 1,002,440 1,002,441 1,002,442 1,002,443 1,002,444 1,002,445 1,002,446 1,002,447 1,002,448 1,002,449 1,002,450

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,342,001
Square (n²): 1,004,881,943,844
Cube (n³): 1,007,331,846,023,091,672
Divisor count: 12
σ(n) — sum of divisors: 2,171,988
φ(n) — Euler's totient: 334,140
Sum of prime factors: 55,699

Primality

Prime factorization: 2 × 3 ² × 55691

Nearest primes: 1,002,433 (−5) · 1,002,451 (+13)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 55691 · 111382 · 167073 · 334146 · 501219 (half) · 1002438

Aliquot sum (sum of proper divisors): 1,169,550

Factor pairs (a × b = 1,002,438)

1 × 1002438

2 × 501219

3 × 334146

6 × 167073

9 × 111382

18 × 55691

First multiples

1,002,438 · 2,004,876 (double) · 3,007,314 · 4,009,752 · 5,012,190 · 6,014,628 · 7,017,066 · 8,019,504 · 9,021,942 · 10,024,380

Sums & aliquot sequence

As consecutive integers: 334,145 + 334,146 + 334,147 250,608 + 250,609 + 250,610 + 250,611 111,378 + 111,379 + … + 111,386 83,531 + 83,532 + … + 83,542

Aliquot sequence: 1,002,438 → 1,169,550 → 2,138,274 → 2,524,878 → 3,086,082 → 3,600,468 → 5,598,540 → 12,288,420 → 25,274,196 → 42,473,484 → 71,972,484 → 96,202,236 → 155,696,964 → 207,595,980 → 438,259,860 → 894,602,580 → 1,613,852,460 — unresolved within range

Continued fraction of √n

√1,002,438 = [1001; (4, 1, 1, 2, 1, 1, 3, 1, 3, 5, 52, 1, 1, 43, 37, 1, 3, 6, 1, 4, 1, 2, 5, 1, …)]

Representations

In words: one million two thousand four hundred thirty-eight
Ordinal: 1002438th
Binary: 11110100101111000110
Octal: 3645706
Hexadecimal: 0xF4BC6
Base64: D0vG
One's complement: 4,293,964,857 (32-bit)
Scientific notation: 1.002438 × 10⁶
As a duration: 1,002,438 s = 11 days, 14 hours, 27 minutes, 18 seconds

In other bases

ternary (3) 1212221002100

quaternary (4) 3310233012

quinary (5) 224034223

senary (6) 33252530

septenary (7) 11343363

nonary (9) 1787070

undecimal (11) 625168

duodecimal (12) 404146

tridecimal (13) 291378

tetradecimal (14) 1c146a

pentadecimal (15) 14c043

As an angle

1,002,438° = 2,784 × 360° + 198°

198° ≈ 3.456 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千四百三十八
Chinese (financial): 壹佰萬貳仟肆佰參拾捌

In other modern scripts

Eastern Arabic ١٠٠٢٤٣٨ Devanagari १००२४३८ Bengali ১০০২৪৩৮ Tamil ௧௦௦௨௪௩௮ Thai ๑๐๐๒๔๓๘ Tibetan ༡༠༠༢༤༣༨ Khmer ១០០២៤៣៨ Lao ໑໐໐໒໔໓໘ Burmese ၁၀၀၂၄၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002438, here are decompositions:

5 + 1002433 = 1002438
11 + 1002427 = 1002438
61 + 1002377 = 1002438
79 + 1002359 = 1002438
89 + 1002349 = 1002438
97 + 1002341 = 1002438
139 + 1002299 = 1002438
149 + 1002289 = 1002438

Showing the first eight; more decompositions exist.

Hex color

#0F4BC6

RGB(15, 75, 198)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.75.198.

Address: 0.15.75.198
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.75.198

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 1,002,438 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 US1,002,438 on Google Patents ↗ Look up on USPTO ↗