Live analysis

1,000,506

1,000,506 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.).

1,000,506 (one million five hundred six) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 13 × 101 × 127. Its proper divisors sum to 1,192,902, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF443A.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,000,494 1,000,495 1,000,496 1,000,497 1,000,498 1,000,499 1,000,500 1,000,501 1,000,502 1,000,503 1,000,504 1,000,505 1,000,506 1,000,507 1,000,508 1,000,509 1,000,510 1,000,511 1,000,512 1,000,513 1,000,514 1,000,515 1,000,516 1,000,517 1,000,518

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 6,050,001
Square (n²): 1,001,012,256,036
Cube (n³): 1,001,518,768,237,554,216
Divisor count: 32
σ(n) — sum of divisors: 2,193,408
φ(n) — Euler's totient: 302,400
Sum of prime factors: 246

Primality

Prime factorization: 2 × 3 × 13 × 101 × 127

Nearest primes: 1,000,457 (−49) · 1,000,507 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 13 · 26 · 39 · 78 · 101 · 127 · 202 · 254 · 303 · 381 · 606 · 762 · 1313 · 1651 · 2626 · 3302 · 3939 · 4953 · 7878 · 9906 · 12827 · 25654 · 38481 · 76962 · 166751 · 333502 · 500253 (half) · 1000506

Aliquot sum (sum of proper divisors): 1,192,902

Factor pairs (a × b = 1,000,506)

1 × 1000506

2 × 500253

3 × 333502

6 × 166751

13 × 76962

26 × 38481

39 × 25654

78 × 12827

101 × 9906

127 × 7878

202 × 4953

254 × 3939

303 × 3302

381 × 2626

606 × 1651

762 × 1313

First multiples

1,000,506 · 2,001,012 (double) · 3,001,518 · 4,002,024 · 5,002,530 · 6,003,036 · 7,003,542 · 8,004,048 · 9,004,554 · 10,005,060

Sums & aliquot sequence

As consecutive integers: 333,501 + 333,502 + 333,503 250,125 + 250,126 + 250,127 + 250,128 83,370 + 83,371 + … + 83,381 76,956 + 76,957 + … + 76,968

Aliquot sequence: 1,000,506 → 1,192,902 → 1,192,914 → 1,458,126 → 1,757,034 → 2,049,912 → 3,594,168 → 6,140,232 → 14,134,968 → 24,971,112 → 44,868,888 → 76,998,312 → 131,538,978 → 183,556,638 → 225,069,282 → 262,580,868 → 475,226,748 — unresolved within range

Continued fraction of √n

√1,000,506 = [1000; (3, 1, 20, 3, 4, 25, 10, 1, 8, 3, 1, 2, 1, 7, 2, 1, 2, 1, 3, 1, 29, 1, 86, 90, …)]

Representations

In words: one million five hundred six
Ordinal: 1000506th
Binary: 11110100010000111010
Octal: 3642072
Hexadecimal: 0xF443A
Base64: D0Q6
One's complement: 4,293,966,789 (32-bit)
Scientific notation: 1.000506 × 10⁶
As a duration: 1,000,506 s = 11 days, 13 hours, 55 minutes, 6 seconds

In other bases

ternary (3) 1212211102210

quaternary (4) 3310100322

quinary (5) 224004011

senary (6) 33235550

septenary (7) 11334633

nonary (9) 1784383

undecimal (11) 623771

duodecimal (12) 402bb6

tridecimal (13) 290520

tetradecimal (14) 1c088a

pentadecimal (15) 14b6a6

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬零五百零六
Chinese (financial): 壹佰萬零伍佰零陸

In other modern scripts

Eastern Arabic ١٠٠٠٥٠٦ Devanagari १०००५०६ Bengali ১০০০৫০৬ Tamil ௧௦௦௦௫௦௬ Thai ๑๐๐๐๕๐๖ Tibetan ༡༠༠༠༥༠༦ Khmer ១០០០៥០៦ Lao ໑໐໐໐໕໐໖ Burmese ၁၀၀၀၅၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000506, here are decompositions:

53 + 1000453 = 1000506
79 + 1000427 = 1000506
83 + 1000423 = 1000506
97 + 1000409 = 1000506
103 + 1000403 = 1000506
109 + 1000397 = 1000506
113 + 1000393 = 1000506
139 + 1000367 = 1000506

Showing the first eight; more decompositions exist.

Hex color

#0F443A

RGB(15, 68, 58)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.68.58.

Address: 0.15.68.58
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.68.58

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 1,000,506 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 US1,000,506 on Google Patents ↗ Look up on USPTO ↗