Live analysis

1,006,520

1,006,520 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.).

1,006,520 (one million six thousand five hundred twenty) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 5 × 25,163. Its proper divisors sum to 1,258,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5BB8.

Abundant Number Gapful Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

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 1,006,519 1,006,520 1,006,521 1,006,522 1,006,523 1,006,524 1,006,525 1,006,526 1,006,527 1,006,528 1,006,529 1,006,530 1,006,531 1,006,532

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 256,001
Square (n²): 1,013,082,510,400
Cube (n³): 1,019,687,808,367,808,000
Divisor count: 16
σ(n) — sum of divisors: 2,264,760
φ(n) — Euler's totient: 402,592
Sum of prime factors: 25,174

Primality

Prime factorization: 2 ³ × 5 × 25163

Nearest primes: 1,006,513 (−7) · 1,006,531 (+11)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 5 · 8 · 10 · 20 · 40 · 25163 · 50326 · 100652 · 125815 · 201304 · 251630 · 503260 (half) · 1006520

Aliquot sum (sum of proper divisors): 1,258,240

Factor pairs (a × b = 1,006,520)

1 × 1006520

2 × 503260

4 × 251630

5 × 201304

8 × 125815

10 × 100652

20 × 50326

40 × 25163

First multiples

1,006,520 · 2,013,040 (double) · 3,019,560 · 4,026,080 · 5,032,600 · 6,039,120 · 7,045,640 · 8,052,160 · 9,058,680 · 10,065,200

Sums & aliquot sequence

As consecutive integers: 201,302 + 201,303 + 201,304 + 201,305 + 201,306 62,900 + 62,901 + … + 62,915 12,542 + 12,543 + … + 12,621

Aliquot sequence: 1,006,520 → 1,258,240 → 1,758,704 → 1,648,816 → 1,791,936 → 3,877,344 → 7,149,672 → 12,350,328 → 18,656,472 → 27,984,768 → 60,143,232 → 99,613,248 → 204,357,696 → 338,393,568 → 605,292,504 → 907,938,816 → 1,512,057,336 — unresolved within range

Continued fraction of √n

√1,006,520 = [1003; (3, 1, 12, 1, 1, 6, 16, 1, 2, 2, 2, 1, 4, 1, 7, 2, 1, 1, 27, 1, 1, 1, 99, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: one million six thousand five hundred twenty
Ordinal: 1006520th
Binary: 11110101101110111000
Octal: 3655670
Hexadecimal: 0xF5BB8
Base64: D1u4
One's complement: 4,293,960,775 (32-bit)
Scientific notation: 1.00652 × 10⁶
As a duration: 1,006,520 s = 11 days, 15 hours, 35 minutes, 20 seconds

In other bases

ternary (3) 1220010200112

quaternary (4) 3311232320

quinary (5) 224202040

senary (6) 33323452

septenary (7) 11361314

nonary (9) 1803615

undecimal (11) 628239

duodecimal (12) 406588

tridecimal (13) 293198

tetradecimal (14) 1c2b44

pentadecimal (15) 14d365

As an angle

1,006,520° = 2,795 × 360° + 320°

320° ≈ 5.585 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆
Chinese: 一百萬六千五百二十
Chinese (financial): 壹佰萬陸仟伍佰貳拾

In other modern scripts

Eastern Arabic ١٠٠٦٥٢٠ Devanagari १००६५२० Bengali ১০০৬৫২০ Tamil ௧௦௦௬௫௨௦ Thai ๑๐๐๖๕๒๐ Tibetan ༡༠༠༦༥༢༠ Khmer ១០០៦៥២០ Lao ໑໐໐໖໕໒໐ Burmese ၁၀၀၆၅၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006520, here are decompositions:

7 + 1006513 = 1006520
13 + 1006507 = 1006520
79 + 1006441 = 1006520
127 + 1006393 = 1006520
181 + 1006339 = 1006520
211 + 1006309 = 1006520
241 + 1006279 = 1006520
271 + 1006249 = 1006520

Showing the first eight; more decompositions exist.

Hex color

#0F5BB8

RGB(15, 91, 184)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.184.

Address: 0.15.91.184
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.91.184

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 1,006,520 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 US1,006,520 on Google Patents ↗ Look up on USPTO ↗