Live analysis

1,002,364

1,002,364 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.).

1,002,364 (one million two thousand three hundred sixty-four) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 11² × 19 × 109. Its proper divisors sum to 1,045,836, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4B7C.

Abundant Number Cube-Free Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,002,352 1,002,353 1,002,354 1,002,355 1,002,356 1,002,357 1,002,358 1,002,359 1,002,360 1,002,361 1,002,362 1,002,363 1,002,364 1,002,365 1,002,366 1,002,367 1,002,368 1,002,369 1,002,370 1,002,371 1,002,372 1,002,373 1,002,374 1,002,375 1,002,376

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 4,632,001
Square (n²): 1,004,733,588,496
Cube (n³): 1,007,108,778,699,204,544
Divisor count: 36
σ(n) — sum of divisors: 2,048,200
φ(n) — Euler's totient: 427,680
Sum of prime factors: 154

Primality

Prime factorization: 2 ² × 11 ² × 19 × 109

Nearest primes: 1,002,361 (−3) · 1,002,377 (+13)

Divisors & multiples

All divisors (36)

1 · 2 · 4 · 11 · 19 · 22 · 38 · 44 · 76 · 109 · 121 · 209 · 218 · 242 · 418 · 436 · 484 · 836 · 1199 · 2071 · 2299 · 2398 · 4142 · 4598 · 4796 · 8284 · 9196 · 13189 · 22781 · 26378 · 45562 · 52756 · 91124 · 250591 · 501182 (half) · 1002364

Aliquot sum (sum of proper divisors): 1,045,836

Factor pairs (a × b = 1,002,364)

1 × 1002364

2 × 501182

4 × 250591

11 × 91124

19 × 52756

22 × 45562

38 × 26378

44 × 22781

76 × 13189

109 × 9196

121 × 8284

209 × 4796

218 × 4598

242 × 4142

418 × 2398

436 × 2299

484 × 2071

836 × 1199

First multiples

1,002,364 · 2,004,728 (double) · 3,007,092 · 4,009,456 · 5,011,820 · 6,014,184 · 7,016,548 · 8,018,912 · 9,021,276 · 10,023,640

Sums & aliquot sequence

As consecutive integers: 125,292 + 125,293 + … + 125,299 91,119 + 91,120 + … + 91,129 52,747 + 52,748 + … + 52,765 11,347 + 11,348 + … + 11,434

Aliquot sequence: 1,002,364 → 1,045,836 → 2,011,764 → 3,044,364 → 4,128,564 → 6,380,844 → 9,451,476 → 14,439,846 → 14,477,658 → 18,349,542 → 21,496,602 → 24,665,190 → 41,524,122 → 43,091,718 → 43,161,402 → 48,567,750 → 107,961,402 — unresolved within range

Continued fraction of √n

√1,002,364 = [1001; (5, 1, 1, 15, 2, 8, 1, 10, 1, 20, 1, 1, 1, 1, 2, 10, 1, 2, 1, 5, 2, 3, 2, 1, …)]

Representations

In words: one million two thousand three hundred sixty-four
Ordinal: 1002364th
Binary: 11110100101101111100
Octal: 3645574
Hexadecimal: 0xF4B7C
Base64: D0t8
One's complement: 4,293,964,931 (32-bit)
Scientific notation: 1.002364 × 10⁶
As a duration: 1,002,364 s = 11 days, 14 hours, 26 minutes, 4 seconds

In other bases

ternary (3) 1212220222121

quaternary (4) 3310231330

quinary (5) 224033424

senary (6) 33252324

septenary (7) 11343226

nonary (9) 1786877

undecimal (11) 625100

duodecimal (12) 4040a4

tridecimal (13) 29131c

tetradecimal (14) 1c1416

pentadecimal (15) 14bee4

Palindromic in base 3

As an angle

1,002,364° = 2,784 × 360° + 124°

124° ≈ 2.164 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬二千三百六十四
Chinese (financial): 壹佰萬貳仟參佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٢٣٦٤ Devanagari १००२३६४ Bengali ১০০২৩৬৪ Tamil ௧௦௦௨௩௬௪ Thai ๑๐๐๒๓๖๔ Tibetan ༡༠༠༢༣༦༤ Khmer ១០០២៣៦៤ Lao ໑໐໐໒໓໖໔ Burmese ၁၀၀၂၃၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002364, here are decompositions:

3 + 1002361 = 1002364
5 + 1002359 = 1002364
17 + 1002347 = 1002364
23 + 1002341 = 1002364
101 + 1002263 = 1002364
107 + 1002257 = 1002364
137 + 1002227 = 1002364
173 + 1002191 = 1002364

Showing the first eight; more decompositions exist.

Hex color

#0F4B7C

RGB(15, 75, 124)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.75.124.

Address: 0.15.75.124
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.75.124

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 1,002,364 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 US1,002,364 on Google Patents ↗ Look up on USPTO ↗