Live analysis

1,006,506

1,006,506 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.).

1,006,506 (one million six thousand five hundred six) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2 × 3⁵ × 19 × 109. Its proper divisors sum to 1,395,894, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5BAA.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,006,494 1,006,495 1,006,496 1,006,497 1,006,498 1,006,499 1,006,500 1,006,501 1,006,502 1,006,503 1,006,504 1,006,505 1,006,506 1,006,507 1,006,508 1,006,509 1,006,510 1,006,511 1,006,512 1,006,513 1,006,514 1,006,515 1,006,516 1,006,517 1,006,518

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 6,056,001
Square (n²): 1,013,054,328,036
Cube (n³): 1,019,645,259,494,202,216
Divisor count: 48
σ(n) — sum of divisors: 2,402,400
φ(n) — Euler's totient: 314,928
Sum of prime factors: 145

Primality

Prime factorization: 2 × 3 ⁵ × 19 × 109

Nearest primes: 1,006,493 (−13) · 1,006,507 (+1)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 6 · 9 · 18 · 19 · 27 · 38 · 54 · 57 · 81 · 109 · 114 · 162 · 171 · 218 · 243 · 327 · 342 · 486 · 513 · 654 · 981 · 1026 · 1539 · 1962 · 2071 · 2943 · 3078 · 4142 · 4617 · 5886 · 6213 · 8829 · 9234 · 12426 · 17658 · 18639 · 26487 · 37278 · 52974 · 55917 · 111834 · 167751 · 335502 · 503253 (half) · 1006506

Aliquot sum (sum of proper divisors): 1,395,894

Factor pairs (a × b = 1,006,506)

1 × 1006506

2 × 503253

3 × 335502

6 × 167751

9 × 111834

18 × 55917

19 × 52974

27 × 37278

38 × 26487

54 × 18639

57 × 17658

81 × 12426

109 × 9234

114 × 8829

162 × 6213

171 × 5886

218 × 4617

243 × 4142

327 × 3078

342 × 2943

486 × 2071

513 × 1962

654 × 1539

981 × 1026

First multiples

1,006,506 · 2,013,012 (double) · 3,019,518 · 4,026,024 · 5,032,530 · 6,039,036 · 7,045,542 · 8,052,048 · 9,058,554 · 10,065,060

Sums & aliquot sequence

As consecutive integers: 335,501 + 335,502 + 335,503 251,625 + 251,626 + 251,627 + 251,628 111,830 + 111,831 + … + 111,838 83,870 + 83,871 + … + 83,881

Aliquot sequence: 1,006,506 → 1,395,894 → 1,430,538 → 1,430,550 → 3,023,406 → 3,771,018 → 4,435,830 → 9,088,650 → 16,638,870 → 25,397,610 → 44,264,982 → 44,264,994 → 46,424,766 → 50,020,674 → 59,943,726 → 74,745,738 → 87,203,400 — unresolved within range

Continued fraction of √n

√1,006,506 = [1003; (4, 27, 4, 4, 3, 3, 4, 2, 1, 4, 1, 10, 1, 1, 1, 3, 1, 2, 1, 3, 17, 2, 22, 16, …)]

Representations

In words: one million six thousand five hundred six
Ordinal: 1006506th
Binary: 11110101101110101010
Octal: 3655652
Hexadecimal: 0xF5BAA
Base64: D1uq
One's complement: 4,293,960,789 (32-bit)
Scientific notation: 1.006506 × 10⁶
As a duration: 1,006,506 s = 11 days, 15 hours, 35 minutes, 6 seconds

In other bases

ternary (3) 1220010200000

quaternary (4) 3311232222

quinary (5) 224202011

senary (6) 33323430

septenary (7) 11361264

nonary (9) 1803600

undecimal (11) 628226

duodecimal (12) 406576

tridecimal (13) 293187

tetradecimal (14) 1c2b34

pentadecimal (15) 14d356

As an angle

1,006,506° = 2,795 × 360° + 306°

306° ≈ 5.341 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬六千五百零六
Chinese (financial): 壹佰萬陸仟伍佰零陸

In other modern scripts

Eastern Arabic ١٠٠٦٥٠٦ Devanagari १००६५०६ Bengali ১০০৬৫০৬ Tamil ௧௦௦௬௫௦௬ Thai ๑๐๐๖๕๐๖ Tibetan ༡༠༠༦༥༠༦ Khmer ១០០៦៥០៦ Lao ໑໐໐໖໕໐໖ Burmese ၁၀၀၆၅၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006506, here are decompositions:

13 + 1006493 = 1006506
37 + 1006469 = 1006506
43 + 1006463 = 1006506
73 + 1006433 = 1006506
113 + 1006393 = 1006506
139 + 1006367 = 1006506
167 + 1006339 = 1006506
173 + 1006333 = 1006506

Showing the first eight; more decompositions exist.

Hex color

#0F5BAA

RGB(15, 91, 170)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.170.

Address: 0.15.91.170
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.91.170

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 1,006,506 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 US1,006,506 on Google Patents ↗ Look up on USPTO ↗