Live analysis

1,006,488

1,006,488 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.).

1,006,488 (one million six thousand four hundred eighty-eight) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 7 × 1,997. Its proper divisors sum to 2,110,392, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5B98.

Abundant Number Arithmetic Number Evil Number Gapful Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,006,476 1,006,477 1,006,478 1,006,479 1,006,480 1,006,481 1,006,482 1,006,483 1,006,484 1,006,485 1,006,486 1,006,487 1,006,488 1,006,489 1,006,490 1,006,491 1,006,492 1,006,493 1,006,494 1,006,495 1,006,496 1,006,497 1,006,498 1,006,499 1,006,500

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 27
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,846,001
Square (n²): 1,013,018,094,144
Cube (n³): 1,019,590,555,538,806,272
Divisor count: 48
σ(n) — sum of divisors: 3,116,880
φ(n) — Euler's totient: 287,424
Sum of prime factors: 2,016

Primality

Prime factorization: 2 ³ × 3 ² × 7 × 1997

Nearest primes: 1,006,471 (−17) · 1,006,493 (+5)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 18 · 21 · 24 · 28 · 36 · 42 · 56 · 63 · 72 · 84 · 126 · 168 · 252 · 504 · 1997 · 3994 · 5991 · 7988 · 11982 · 13979 · 15976 · 17973 · 23964 · 27958 · 35946 · 41937 · 47928 · 55916 · 71892 · 83874 · 111832 · 125811 · 143784 · 167748 · 251622 · 335496 · 503244 (half) · 1006488

Aliquot sum (sum of proper divisors): 2,110,392

Factor pairs (a × b = 1,006,488)

1 × 1006488

2 × 503244

3 × 335496

4 × 251622

6 × 167748

7 × 143784

8 × 125811

9 × 111832

12 × 83874

14 × 71892

18 × 55916

21 × 47928

24 × 41937

28 × 35946

36 × 27958

42 × 23964

56 × 17973

63 × 15976

72 × 13979

84 × 11982

126 × 7988

168 × 5991

252 × 3994

504 × 1997

First multiples

1,006,488 · 2,012,976 (double) · 3,019,464 · 4,025,952 · 5,032,440 · 6,038,928 · 7,045,416 · 8,051,904 · 9,058,392 · 10,064,880

Sums & aliquot sequence

As consecutive integers: 335,495 + 335,496 + 335,497 143,781 + 143,782 + … + 143,787 111,828 + 111,829 + … + 111,836 62,898 + 62,899 + … + 62,913

Aliquot sequence: 1,006,488 → 2,110,392 → 3,605,448 → 7,638,072 → 12,926,808 → 24,419,592 → 41,716,998 → 50,987,562 → 50,987,574 → 72,115,146 → 102,168,054 → 139,585,590 → 242,442,810 → 390,738,726 → 578,677,722 → 821,821,350 → 1,507,458,138 — unresolved within range

Continued fraction of √n

√1,006,488 = [1003; (4, 5, 3, 4, 12, 1, 30, 1, 12, 4, 3, 5, 4, 2006)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words: one million six thousand four hundred eighty-eight
Ordinal: 1006488th
Binary: 11110101101110011000
Octal: 3655630
Hexadecimal: 0xF5B98
Base64: D1uY
One's complement: 4,293,960,807 (32-bit)
Scientific notation: 1.006488 × 10⁶
As a duration: 1,006,488 s = 11 days, 15 hours, 34 minutes, 48 seconds

In other bases

ternary (3) 1220010122100

quaternary (4) 3311232120

quinary (5) 224201423

senary (6) 33323400

septenary (7) 11361240

nonary (9) 1803570

undecimal (11) 62820a

duodecimal (12) 406560

tridecimal (13) 293172

tetradecimal (14) 1c2b20

pentadecimal (15) 14d343

As an angle

1,006,488° = 2,795 × 360° + 288°

288° ≈ 5.027 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬六千四百八十八
Chinese (financial): 壹佰萬陸仟肆佰捌拾捌

In other modern scripts

Eastern Arabic ١٠٠٦٤٨٨ Devanagari १००६४८८ Bengali ১০০৬৪৮৮ Tamil ௧௦௦௬௪௮௮ Thai ๑๐๐๖๔๘๘ Tibetan ༡༠༠༦༤༨༨ Khmer ១០០៦៤៨៨ Lao ໑໐໐໖໔໘໘ Burmese ၁၀၀၆၄၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006488, here are decompositions:

17 + 1006471 = 1006488
19 + 1006469 = 1006488
47 + 1006441 = 1006488
97 + 1006391 = 1006488
127 + 1006361 = 1006488
137 + 1006351 = 1006488
149 + 1006339 = 1006488
151 + 1006337 = 1006488

Showing the first eight; more decompositions exist.

Hex color

#0F5B98

RGB(15, 91, 152)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.152.

Address: 0.15.91.152
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.91.152

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 1,006,488 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 US1,006,488 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1006488 first appears in π at position 556,766 of the decimal expansion (the 556,766ordinal-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 1006488 on Pi Search ↗