Live analysis

1,006,416

1,006,416 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.).

1,006,416 (one million six thousand four hundred sixteen) is an even 7-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 3² × 29 × 241. Its proper divisors sum to 1,919,364, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5B50.

Abundant Number Arithmetic Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,006,404 1,006,405 1,006,406 1,006,407 1,006,408 1,006,409 1,006,410 1,006,411 1,006,412 1,006,413 1,006,414 1,006,415 1,006,416 1,006,417 1,006,418 1,006,419 1,006,420 1,006,421 1,006,422 1,006,423 1,006,424 1,006,425 1,006,426 1,006,427 1,006,428

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 6,146,001
Square (n²): 1,012,873,165,056
Cube (n³): 1,019,371,759,282,999,296
Divisor count: 60
σ(n) — sum of divisors: 2,925,780
φ(n) — Euler's totient: 322,560
Sum of prime factors: 284

Primality

Prime factorization: 2 ⁴ × 3 ² × 29 × 241

Nearest primes: 1,006,393 (−23) · 1,006,433 (+17)

Divisors & multiples

All divisors (60)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 29 · 36 · 48 · 58 · 72 · 87 · 116 · 144 · 174 · 232 · 241 · 261 · 348 · 464 · 482 · 522 · 696 · 723 · 964 · 1044 · 1392 · 1446 · 1928 · 2088 · 2169 · 2892 · 3856 · 4176 · 4338 · 5784 · 6989 · 8676 · 11568 · 13978 · 17352 · 20967 · 27956 · 34704 · 41934 · 55912 · 62901 · 83868 · 111824 · 125802 · 167736 · 251604 · 335472 · 503208 (half) · 1006416

Aliquot sum (sum of proper divisors): 1,919,364

Factor pairs (a × b = 1,006,416)

1 × 1006416

2 × 503208

3 × 335472

4 × 251604

6 × 167736

8 × 125802

9 × 111824

12 × 83868

16 × 62901

18 × 55912

24 × 41934

29 × 34704

36 × 27956

48 × 20967

58 × 17352

72 × 13978

87 × 11568

116 × 8676

144 × 6989

174 × 5784

232 × 4338

241 × 4176

261 × 3856

348 × 2892

464 × 2169

482 × 2088

522 × 1928

696 × 1446

723 × 1392

964 × 1044

First multiples

1,006,416 · 2,012,832 (double) · 3,019,248 · 4,025,664 · 5,032,080 · 6,038,496 · 7,044,912 · 8,051,328 · 9,057,744 · 10,064,160

Sums & aliquot sequence

As a sum of two squares: 120² + 996² = 600² + 804²

As consecutive integers: 335,471 + 335,472 + 335,473 111,820 + 111,821 + … + 111,828 34,690 + 34,691 + … + 34,718 31,435 + 31,436 + … + 31,466

Aliquot sequence: 1,006,416 → 1,919,364 → 2,582,364 → 3,443,180 → 5,447,380 → 5,992,160 → 9,003,856 → 9,655,664 → 9,573,016 → 8,995,784 → 10,281,016 → 9,284,624 → 9,285,616 → 9,574,288 → 9,868,912 → 10,165,520 → 14,237,680 — unresolved within range

Continued fraction of √n

√1,006,416 = [1003; (4, 1, 13, 7, 2, 222, 2, 7, 13, 1, 4, 2006)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words: one million six thousand four hundred sixteen
Ordinal: 1006416th
Binary: 11110101101101010000
Octal: 3655520
Hexadecimal: 0xF5B50
Base64: D1tQ
One's complement: 4,293,960,879 (32-bit)
Scientific notation: 1.006416 × 10⁶
As a duration: 1,006,416 s = 11 days, 15 hours, 33 minutes, 36 seconds

In other bases

ternary (3) 1220010112200

quaternary (4) 3311231100

quinary (5) 224201131

senary (6) 33323200

septenary (7) 11361105

nonary (9) 1803480

undecimal (11) 628154

duodecimal (12) 406500

tridecimal (13) 293118

tetradecimal (14) 1c2aac

pentadecimal (15) 14d2e6

As an angle

1,006,416° = 2,795 × 360° + 216°

216° ≈ 3.77 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬六千四百一十六
Chinese (financial): 壹佰萬陸仟肆佰壹拾陸

In other modern scripts

Eastern Arabic ١٠٠٦٤١٦ Devanagari १००६४१६ Bengali ১০০৬৪১৬ Tamil ௧௦௦௬௪௧௬ Thai ๑๐๐๖๔๑๖ Tibetan ༡༠༠༦༤༡༦ Khmer ១០០៦៤១៦ Lao ໑໐໐໖໔໑໖ Burmese ၁၀၀၆၄၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006416, here are decompositions:

23 + 1006393 = 1006416
79 + 1006337 = 1006416
83 + 1006333 = 1006416
107 + 1006309 = 1006416
109 + 1006307 = 1006416
113 + 1006303 = 1006416
137 + 1006279 = 1006416
149 + 1006267 = 1006416

Showing the first eight; more decompositions exist.

Hex color

#0F5B50

RGB(15, 91, 80)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.80.

Address: 0.15.91.80
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.91.80

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 1,006,416 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 US1,006,416 on Google Patents ↗ Look up on USPTO ↗