Live analysis

1,004,432

1,004,432 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.).

1,004,432 (one million four thousand four hundred thirty-two) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 11 × 13 × 439. Its proper divisors sum to 1,287,088, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5390.

Abundant Number Arithmetic Number Evil Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,004,420 1,004,421 1,004,422 1,004,423 1,004,424 1,004,425 1,004,426 1,004,427 1,004,428 1,004,429 1,004,430 1,004,431 1,004,432 1,004,433 1,004,434 1,004,435 1,004,436 1,004,437 1,004,438 1,004,439 1,004,440 1,004,441 1,004,442 1,004,443 1,004,444

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 2,344,001
Square (n²): 1,008,883,642,624
Cube (n³): 1,013,355,014,928,109,568
Divisor count: 40
σ(n) — sum of divisors: 2,291,520
φ(n) — Euler's totient: 420,480
Sum of prime factors: 471

Primality

Prime factorization: 2 ⁴ × 11 × 13 × 439

Nearest primes: 1,004,429 (−3) · 1,004,441 (+9)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 8 · 11 · 13 · 16 · 22 · 26 · 44 · 52 · 88 · 104 · 143 · 176 · 208 · 286 · 439 · 572 · 878 · 1144 · 1756 · 2288 · 3512 · 4829 · 5707 · 7024 · 9658 · 11414 · 19316 · 22828 · 38632 · 45656 · 62777 · 77264 · 91312 · 125554 · 251108 · 502216 (half) · 1004432

Aliquot sum (sum of proper divisors): 1,287,088

Factor pairs (a × b = 1,004,432)

1 × 1004432

2 × 502216

4 × 251108

8 × 125554

11 × 91312

13 × 77264

16 × 62777

22 × 45656

26 × 38632

44 × 22828

52 × 19316

88 × 11414

104 × 9658

143 × 7024

176 × 5707

208 × 4829

286 × 3512

439 × 2288

572 × 1756

878 × 1144

First multiples

1,004,432 · 2,008,864 (double) · 3,013,296 · 4,017,728 · 5,022,160 · 6,026,592 · 7,031,024 · 8,035,456 · 9,039,888 · 10,044,320

Sums & aliquot sequence

As consecutive integers: 91,307 + 91,308 + … + 91,317 77,258 + 77,259 + … + 77,270 31,373 + 31,374 + … + 31,404 6,953 + 6,954 + … + 7,095

Aliquot sequence: 1,004,432 → 1,287,088 → 1,498,448 → 2,019,184 → 1,893,016 → 1,656,404 → 1,242,310 → 993,866 → 501,178 → 276,602 → 176,998 → 88,502 → 60,538 → 30,272 → 36,784 → 45,676 → 38,604 — unresolved within range

Continued fraction of √n

√1,004,432 = [1002; (4, 1, 2, 6, 1, 1, 2, 1, 2, 7, 2, 6, 25, 4, 1, 1, 2, 3, 2, 1, 1, 1, 11, 40, …)]

Representations

In words: one million four thousand four hundred thirty-two
Ordinal: 1004432nd
Binary: 11110101001110010000
Octal: 3651620
Hexadecimal: 0xF5390
Base64: D1OQ
One's complement: 4,293,962,863 (32-bit)
Scientific notation: 1.004432 × 10⁶
As a duration: 1,004,432 s = 11 days, 15 hours, 32 seconds

In other bases

ternary (3) 1220000211012

quaternary (4) 3311032100

quinary (5) 224120212

senary (6) 33310052

septenary (7) 11352242

nonary (9) 1800735

undecimal (11) 626710

duodecimal (12) 405328

tridecimal (13) 292250

tetradecimal (14) 1c2092

pentadecimal (15) 14c922

As an angle

1,004,432° = 2,790 × 360° + 32°

32° ≈ 0.559 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬四千四百三十二
Chinese (financial): 壹佰萬肆仟肆佰參拾貳

In other modern scripts

Eastern Arabic ١٠٠٤٤٣٢ Devanagari १००४४३२ Bengali ১০০৪৪৩২ Tamil ௧௦௦௪௪௩௨ Thai ๑๐๐๔๔๓๒ Tibetan ༡༠༠༤༤༣༢ Khmer ១០០៤៤៣២ Lao ໑໐໐໔໔໓໒ Burmese ၁၀၀၄၄၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004432, here are decompositions:

3 + 1004429 = 1004432
31 + 1004401 = 1004432
61 + 1004371 = 1004432
109 + 1004323 = 1004432
139 + 1004293 = 1004432
199 + 1004233 = 1004432
211 + 1004221 = 1004432
223 + 1004209 = 1004432

Showing the first eight; more decompositions exist.

Hex color

#0F5390

RGB(15, 83, 144)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.83.144.

Address: 0.15.83.144
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.83.144

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 1,004,432 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 US1,004,432 on Google Patents ↗ Look up on USPTO ↗