Live analysis

1,006,368

1,006,368 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.).

1,006,368 (one million six thousand three hundred sixty-eight) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 11 × 953. Its proper divisors sum to 1,878,528, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5B20.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,006,356 1,006,357 1,006,358 1,006,359 1,006,360 1,006,361 1,006,362 1,006,363 1,006,364 1,006,365 1,006,366 1,006,367 1,006,368 1,006,369 1,006,370 1,006,371 1,006,372 1,006,373 1,006,374 1,006,375 1,006,376 1,006,377 1,006,378 1,006,379 1,006,380

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 8,636,001
Square (n²): 1,012,776,551,424
Cube (n³): 1,019,225,912,503,468,032
Divisor count: 48
σ(n) — sum of divisors: 2,884,896
φ(n) — Euler's totient: 304,640
Sum of prime factors: 977

Primality

Prime factorization: 2 ⁵ × 3 × 11 × 953

Nearest primes: 1,006,367 (−1) · 1,006,391 (+23)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 16 · 22 · 24 · 32 · 33 · 44 · 48 · 66 · 88 · 96 · 132 · 176 · 264 · 352 · 528 · 953 · 1056 · 1906 · 2859 · 3812 · 5718 · 7624 · 10483 · 11436 · 15248 · 20966 · 22872 · 30496 · 31449 · 41932 · 45744 · 62898 · 83864 · 91488 · 125796 · 167728 · 251592 · 335456 · 503184 (half) · 1006368

Aliquot sum (sum of proper divisors): 1,878,528

Factor pairs (a × b = 1,006,368)

1 × 1006368

2 × 503184

3 × 335456

4 × 251592

6 × 167728

8 × 125796

11 × 91488

12 × 83864

16 × 62898

22 × 45744

24 × 41932

32 × 31449

33 × 30496

44 × 22872

48 × 20966

66 × 15248

88 × 11436

96 × 10483

132 × 7624

176 × 5718

264 × 3812

352 × 2859

528 × 1906

953 × 1056

First multiples

1,006,368 · 2,012,736 (double) · 3,019,104 · 4,025,472 · 5,031,840 · 6,038,208 · 7,044,576 · 8,050,944 · 9,057,312 · 10,063,680

Sums & aliquot sequence

As consecutive integers: 335,455 + 335,456 + 335,457 91,483 + 91,484 + … + 91,493 30,480 + 30,481 + … + 30,512 15,693 + 15,694 + … + 15,756

Aliquot sequence: 1,006,368 → 1,878,528 → 3,130,080 → 6,731,184 → 12,097,968 → 19,471,440 → 40,890,768 → 64,743,840 → 194,352,480 → 583,178,400 → 2,088,525,600 → 7,010,892,000 → 22,131,565,344 — keeps growing

Continued fraction of √n

√1,006,368 = [1003; (5, 1, 1, 2, 3, 501, 3, 2, 1, 1, 5, 2006)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one million six thousand three hundred sixty-eight
Ordinal: 1006368th
Binary: 11110101101100100000
Octal: 3655440
Hexadecimal: 0xF5B20
Base64: D1sg
One's complement: 4,293,960,927 (32-bit)
Scientific notation: 1.006368 × 10⁶
As a duration: 1,006,368 s = 11 days, 15 hours, 32 minutes, 48 seconds

In other bases

ternary (3) 1220010110220

quaternary (4) 3311230200

quinary (5) 224200433

senary (6) 33323040

septenary (7) 11361006

nonary (9) 1803426

undecimal (11) 628110

duodecimal (12) 406480

tridecimal (13) 2930ac

tetradecimal (14) 1c2a76

pentadecimal (15) 14d2b3

As an angle

1,006,368° = 2,795 × 360° + 168°

168° ≈ 2.932 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬六千三百六十八
Chinese (financial): 壹佰萬陸仟參佰陸拾捌

In other modern scripts

Eastern Arabic ١٠٠٦٣٦٨ Devanagari १००६३६८ Bengali ১০০৬৩৬৮ Tamil ௧௦௦௬௩௬௮ Thai ๑๐๐๖๓๖๘ Tibetan ༡༠༠༦༣༦༨ Khmer ១០០៦៣៦៨ Lao ໑໐໐໖໓໖໘ Burmese ၁၀၀၆၃၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006368, here are decompositions:

7 + 1006361 = 1006368
17 + 1006351 = 1006368
29 + 1006339 = 1006368
31 + 1006337 = 1006368
37 + 1006331 = 1006368
59 + 1006309 = 1006368
61 + 1006307 = 1006368
67 + 1006301 = 1006368

Showing the first eight; more decompositions exist.

Hex color

#0F5B20

RGB(15, 91, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.32.

Address: 0.15.91.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.91.32

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 1,006,368 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 US1,006,368 on Google Patents ↗ Look up on USPTO ↗