Live analysis

1,002,432

1,002,432 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.).

1,002,432 (one million two thousand four hundred thirty-two) is an even 7-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 23 × 227. Its proper divisors sum to 1,777,344, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4BC0.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,002,420 1,002,421 1,002,422 1,002,423 1,002,424 1,002,425 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,342,001
Square (n²): 1,004,869,914,624
Cube (n³): 1,007,313,758,256,365,568
Divisor count: 56
σ(n) — sum of divisors: 2,779,776
φ(n) — Euler's totient: 318,208
Sum of prime factors: 265

Primality

Prime factorization: 2 ⁶ × 3 × 23 × 227

Nearest primes: 1,002,427 (−5) · 1,002,433 (+1)

Divisors & multiples

All divisors (56)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 23 · 24 · 32 · 46 · 48 · 64 · 69 · 92 · 96 · 138 · 184 · 192 · 227 · 276 · 368 · 454 · 552 · 681 · 736 · 908 · 1104 · 1362 · 1472 · 1816 · 2208 · 2724 · 3632 · 4416 · 5221 · 5448 · 7264 · 10442 · 10896 · 14528 · 15663 · 20884 · 21792 · 31326 · 41768 · 43584 · 62652 · 83536 · 125304 · 167072 · 250608 · 334144 · 501216 (half) · 1002432

Aliquot sum (sum of proper divisors): 1,777,344

Factor pairs (a × b = 1,002,432)

1 × 1002432

2 × 501216

3 × 334144

4 × 250608

6 × 167072

8 × 125304

12 × 83536

16 × 62652

23 × 43584

24 × 41768

32 × 31326

46 × 21792

48 × 20884

64 × 15663

69 × 14528

92 × 10896

96 × 10442

138 × 7264

184 × 5448

192 × 5221

227 × 4416

276 × 3632

368 × 2724

454 × 2208

552 × 1816

681 × 1472

736 × 1362

908 × 1104

First multiples

1,002,432 · 2,004,864 (double) · 3,007,296 · 4,009,728 · 5,012,160 · 6,014,592 · 7,017,024 · 8,019,456 · 9,021,888 · 10,024,320

Sums & aliquot sequence

As consecutive integers: 334,143 + 334,144 + 334,145 43,573 + 43,574 + … + 43,595 14,494 + 14,495 + … + 14,562 7,768 + 7,769 + … + 7,895

Aliquot sequence: 1,002,432 → 1,777,344 → 2,925,720 → 8,605,800 → 24,472,440 → 55,064,160 → 132,847,200 → 335,630,628 → 582,505,500 → 1,168,608,228 → 1,564,482,972 → 2,366,782,324 → 1,775,940,876 → 2,866,720,224 → 4,666,910,496 → 8,388,640,992 → 13,692,969,888 — keeps growing

Continued fraction of √n

√1,002,432 = [1001; (4, 1, 1, 1, 4, 1, 1, 2, 2, 2, 1, 10, 1, 1, 1, 1, 6, 2, 1, 2, 10, 1, 1, 3, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words: one million two thousand four hundred thirty-two
Ordinal: 1002432nd
Binary: 11110100101111000000
Octal: 3645700
Hexadecimal: 0xF4BC0
Base64: D0vA
One's complement: 4,293,964,863 (32-bit)
Scientific notation: 1.002432 × 10⁶
As a duration: 1,002,432 s = 11 days, 14 hours, 27 minutes, 12 seconds

In other bases

ternary (3) 1212221002010

quaternary (4) 3310233000

quinary (5) 224034212

senary (6) 33252520

septenary (7) 11343354

nonary (9) 1787063

undecimal (11) 625162

duodecimal (12) 404140

tridecimal (13) 291372

tetradecimal (14) 1c1464

pentadecimal (15) 14c03c

As an angle

1,002,432° = 2,784 × 360° + 192°

192° ≈ 3.351 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬二千四百三十二
Chinese (financial): 壹佰萬貳仟肆佰參拾貳

In other modern scripts

Eastern Arabic ١٠٠٢٤٣٢ Devanagari १००२४३२ Bengali ১০০২৪৩২ Tamil ௧௦௦௨௪௩௨ Thai ๑๐๐๒๔๓๒ Tibetan ༡༠༠༢༤༣༢ Khmer ១០០២៤៣២ Lao ໑໐໐໒໔໓໒ Burmese ၁၀၀၂၄၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002432, here are decompositions:

5 + 1002427 = 1002432
29 + 1002403 = 1002432
71 + 1002361 = 1002432
73 + 1002359 = 1002432
83 + 1002349 = 1002432
89 + 1002343 = 1002432
173 + 1002259 = 1002432
191 + 1002241 = 1002432

Showing the first eight; more decompositions exist.

Hex color

#0F4BC0

RGB(15, 75, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.75.192.

Address: 0.15.75.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.75.192

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 1,002,432 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 US1,002,432 on Google Patents ↗ Look up on USPTO ↗