Live analysis

1,008,560

1,008,560 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.).

1,008,560 (one million eight thousand five hundred sixty) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 5 × 7 × 1,801. Its proper divisors sum to 1,672,816, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF63B0.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,008,548 1,008,549 1,008,550 1,008,551 1,008,552 1,008,553 1,008,554 1,008,555 1,008,556 1,008,557 1,008,558 1,008,559 1,008,560 1,008,561 1,008,562 1,008,563 1,008,564 1,008,565 1,008,566 1,008,567 1,008,568 1,008,569 1,008,570 1,008,571 1,008,572

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 20
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 658,001
Recamán's sequence: a(348,331) = 1,008,560
Square (n²): 1,017,193,273,600
Cube (n³): 1,025,900,448,022,016,000
Divisor count: 40
σ(n) — sum of divisors: 2,681,376
φ(n) — Euler's totient: 345,600
Sum of prime factors: 1,821

Primality

Prime factorization: 2 ⁴ × 5 × 7 × 1801

Nearest primes: 1,008,547 (−13) · 1,008,563 (+3)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 28 · 35 · 40 · 56 · 70 · 80 · 112 · 140 · 280 · 560 · 1801 · 3602 · 7204 · 9005 · 12607 · 14408 · 18010 · 25214 · 28816 · 36020 · 50428 · 63035 · 72040 · 100856 · 126070 · 144080 · 201712 · 252140 · 504280 (half) · 1008560

Aliquot sum (sum of proper divisors): 1,672,816

Factor pairs (a × b = 1,008,560)

1 × 1008560

2 × 504280

4 × 252140

5 × 201712

7 × 144080

8 × 126070

10 × 100856

14 × 72040

16 × 63035

20 × 50428

28 × 36020

35 × 28816

40 × 25214

56 × 18010

70 × 14408

80 × 12607

112 × 9005

140 × 7204

280 × 3602

560 × 1801

First multiples

1,008,560 · 2,017,120 (double) · 3,025,680 · 4,034,240 · 5,042,800 · 6,051,360 · 7,059,920 · 8,068,480 · 9,077,040 · 10,085,600

Sums & aliquot sequence

As consecutive integers: 201,710 + 201,711 + 201,712 + 201,713 + 201,714 144,077 + 144,078 + … + 144,083 31,502 + 31,503 + … + 31,533 28,799 + 28,800 + … + 28,833

Aliquot sequence: 1,008,560 → 1,672,816 → 1,568,296 → 1,536,344 → 1,344,316 → 1,008,244 → 862,604 → 653,596 → 512,156 → 399,244 → 305,124 → 423,324 → 745,116 → 1,050,468 → 1,400,652 → 2,635,380 → 6,157,950 — unresolved within range

Continued fraction of √n

√1,008,560 = [1004; (3, 1, 2, 4, 9, 8, 1, 6, 16, 1, 2, 1, 3, 125, 3, 1, 2, 1, 16, 6, 1, 8, 9, 4, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: one million eight thousand five hundred sixty
Ordinal: 1008560th
Binary: 11110110001110110000
Octal: 3661660
Hexadecimal: 0xF63B0
Base64: D2Ow
One's complement: 4,293,958,735 (32-bit)
Scientific notation: 1.00856 × 10⁶
As a duration: 1,008,560 s = 11 days, 16 hours, 9 minutes, 20 seconds

In other bases

ternary (3) 1220020111002

quaternary (4) 3312032300

quinary (5) 224233220

senary (6) 33341132

septenary (7) 11400260

nonary (9) 1806432

undecimal (11) 629823

duodecimal (12) 4077a8

tridecimal (13) 2940a7

tetradecimal (14) 1c37a0

pentadecimal (15) 14dc75

As an angle

1,008,560° = 2,801 × 360° + 200°

200° ≈ 3.491 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬八千五百六十
Chinese (financial): 壹佰萬捌仟伍佰陸拾

In other modern scripts

Eastern Arabic ١٠٠٨٥٦٠ Devanagari १००८५६० Bengali ১০০৮৫৬০ Tamil ௧௦௦௮௫௬௦ Thai ๑๐๐๘๕๖๐ Tibetan ༡༠༠༨༥༦༠ Khmer ១០០៨៥៦០ Lao ໑໐໐໘໕໖໐ Burmese ၁၀၀၈၅၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1008560, here are decompositions:

13 + 1008547 = 1008560
19 + 1008541 = 1008560
43 + 1008517 = 1008560
61 + 1008499 = 1008560
67 + 1008493 = 1008560
109 + 1008451 = 1008560
127 + 1008433 = 1008560
139 + 1008421 = 1008560

Showing the first eight; more decompositions exist.

Hex color

#0F63B0

RGB(15, 99, 176)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.99.176.

Address: 0.15.99.176
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.99.176

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 1,008,560 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 US1,008,560 on Google Patents ↗ Look up on USPTO ↗