Live analysis

1,006,056

1,006,056 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.).

1,006,056 (one million six thousand fifty-six) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 89 × 157. Its proper divisors sum to 1,766,844, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF59E8.

Abundant Number Evil Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,006,044 1,006,045 1,006,046 1,006,047 1,006,048 1,006,049 1,006,050 1,006,051 1,006,052 1,006,053 1,006,054 1,006,055 1,006,056 1,006,057 1,006,058 1,006,059 1,006,060 1,006,061 1,006,062 1,006,063 1,006,064 1,006,065 1,006,066 1,006,067 1,006,068

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 6,506,001
Square (n²): 1,012,148,675,136
Cube (n³): 1,018,278,247,512,623,616
Divisor count: 48
σ(n) — sum of divisors: 2,772,900
φ(n) — Euler's totient: 329,472
Sum of prime factors: 258

Primality

Prime factorization: 2 ³ × 3 ² × 89 × 157

Nearest primes: 1,006,037 (−19) · 1,006,063 (+7)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 72 · 89 · 157 · 178 · 267 · 314 · 356 · 471 · 534 · 628 · 712 · 801 · 942 · 1068 · 1256 · 1413 · 1602 · 1884 · 2136 · 2826 · 3204 · 3768 · 5652 · 6408 · 11304 · 13973 · 27946 · 41919 · 55892 · 83838 · 111784 · 125757 · 167676 · 251514 · 335352 · 503028 (half) · 1006056

Aliquot sum (sum of proper divisors): 1,766,844

Factor pairs (a × b = 1,006,056)

1 × 1006056

2 × 503028

3 × 335352

4 × 251514

6 × 167676

8 × 125757

9 × 111784

12 × 83838

18 × 55892

24 × 41919

36 × 27946

72 × 13973

89 × 11304

157 × 6408

178 × 5652

267 × 3768

314 × 3204

356 × 2826

471 × 2136

534 × 1884

628 × 1602

712 × 1413

801 × 1256

942 × 1068

First multiples

1,006,056 · 2,012,112 (double) · 3,018,168 · 4,024,224 · 5,030,280 · 6,036,336 · 7,042,392 · 8,048,448 · 9,054,504 · 10,060,560

Sums & aliquot sequence

As a sum of two squares: 270² + 966² = 666² + 750²

As consecutive integers: 335,351 + 335,352 + 335,353 111,780 + 111,781 + … + 111,788 62,871 + 62,872 + … + 62,886 20,936 + 20,937 + … + 20,983

Aliquot sequence: 1,006,056 → 1,766,844 → 2,963,700 → 6,684,120 → 15,792,840 → 44,399,160 → 114,814,440 → 287,052,480 → 971,088,768 → 2,090,486,112 → 4,767,945,888 → 7,751,474,592 → 12,596,146,464 — keeps growing

Continued fraction of √n

√1,006,056 = [1003; (42, 1, 2, 7, 4, 3, 1, 2, 55, 2, 1, 3, 4, 7, 2, 1, 42, 2006)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: one million six thousand fifty-six
Ordinal: 1006056th
Binary: 11110101100111101000
Octal: 3654750
Hexadecimal: 0xF59E8
Base64: D1no
One's complement: 4,293,961,239 (32-bit)
Scientific notation: 1.006056 × 10⁶
As a duration: 1,006,056 s = 11 days, 15 hours, 27 minutes, 36 seconds

In other bases

ternary (3) 1220010001100

quaternary (4) 3311213220

quinary (5) 224143211

senary (6) 33321400

septenary (7) 11360052

nonary (9) 1803040

undecimal (11) 627957

duodecimal (12) 406260

tridecimal (13) 292bcc

tetradecimal (14) 1c28d2

pentadecimal (15) 14d156

As an angle

1,006,056° = 2,794 × 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 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬六千零五十六
Chinese (financial): 壹佰萬陸仟零伍拾陸

In other modern scripts

Eastern Arabic ١٠٠٦٠٥٦ Devanagari १००६०५६ Bengali ১০০৬০৫৬ Tamil ௧௦௦௬௦௫௬ Thai ๑๐๐๖๐๕๖ Tibetan ༡༠༠༦༠༥༦ Khmer ១០០៦០៥៦ Lao ໑໐໐໖໐໕໖ Burmese ၁၀၀၆၀၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006056, here are decompositions:

19 + 1006037 = 1006056
53 + 1006003 = 1006056
67 + 1005989 = 1006056
97 + 1005959 = 1006056
173 + 1005883 = 1006056
223 + 1005833 = 1006056
229 + 1005827 = 1006056
347 + 1005709 = 1006056

Showing the first eight; more decompositions exist.

Hex color

#0F59E8

RGB(15, 89, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.89.232.

Address: 0.15.89.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.89.232

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 1,006,056 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 US1,006,056 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1006056 first appears in π at position 183,534 of the decimal expansion (the 183,534ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1006056 on Pi Search ↗