Live analysis

1,006,002

1,006,002 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.).

1,006,002 (one million six thousand two) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2 × 3² × 55,889. Its proper divisors sum to 1,173,708, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF59B2.

Abundant Number Cube-Free Evil Number Harshad / Niven Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,005,990 1,005,991 1,005,992 1,005,993 1,005,994 1,005,995 1,005,996 1,005,997 1,005,998 1,005,999 1,006,000 1,006,001 1,006,002 1,006,003 1,006,004 1,006,005 1,006,006 1,006,007 1,006,008 1,006,009 1,006,010 1,006,011 1,006,012 1,006,013 1,006,014

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 9
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 2,006,001
Square (n²): 1,012,040,024,004
Cube (n³): 1,018,114,288,228,072,008
Divisor count: 12
σ(n) — sum of divisors: 2,179,710
φ(n) — Euler's totient: 335,328
Sum of prime factors: 55,897

Primality

Prime factorization: 2 × 3 ² × 55889

Nearest primes: 1,005,989 (−13) · 1,006,003 (+1)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 6 · 9 · 18 · 55889 · 111778 · 167667 · 335334 · 503001 (half) · 1006002

Aliquot sum (sum of proper divisors): 1,173,708

Factor pairs (a × b = 1,006,002)

1 × 1006002

2 × 503001

3 × 335334

6 × 167667

9 × 111778

18 × 55889

First multiples

1,006,002 · 2,012,004 (double) · 3,018,006 · 4,024,008 · 5,030,010 · 6,036,012 · 7,042,014 · 8,048,016 · 9,054,018 · 10,060,020

Sums & aliquot sequence

As a sum of two squares: 579² + 819²

As consecutive integers: 335,333 + 335,334 + 335,335 251,499 + 251,500 + 251,501 + 251,502 111,774 + 111,775 + … + 111,782 83,828 + 83,829 + … + 83,839

Aliquot sequence: 1,006,002 → 1,173,708 → 1,793,256 → 2,689,944 → 4,826,856 → 7,240,344 → 10,860,576 → 17,648,688 → 28,919,760 → 62,949,360 → 134,921,904 → 242,053,968 → 449,053,584 → 876,724,656 → 1,397,653,584 → 2,236,881,648 → 3,541,729,400 — unresolved within range

Continued fraction of √n

√1,006,002 = [1002; (1, 285, 1, 1, 3, 40, 1, 1, 1, 7, 2, 5, 2, 1, 1, 1, 3, 3, 1, 1, 6, 13, 7, 1, …)]

Representations

In words: one million six thousand two
Ordinal: 1006002nd
Binary: 11110101100110110010
Octal: 3654662
Hexadecimal: 0xF59B2
Base64: D1my
One's complement: 4,293,961,293 (32-bit)
Scientific notation: 1.006002 × 10⁶
As a duration: 1,006,002 s = 11 days, 15 hours, 26 minutes, 42 seconds

In other bases

ternary (3) 1220002222100

quaternary (4) 3311212302

quinary (5) 224143002

senary (6) 33321230

septenary (7) 11356644

nonary (9) 1802870

undecimal (11) 627908

duodecimal (12) 406216

tridecimal (13) 292b8a

tetradecimal (14) 1c2894

pentadecimal (15) 14d11c

As an angle

1,006,002° = 2,794 × 360° + 162°

162° ≈ 2.827 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓏺𓏺
Chinese: 一百萬六千零二
Chinese (financial): 壹佰萬陸仟零貳

In other modern scripts

Eastern Arabic ١٠٠٦٠٠٢ Devanagari १००६००२ Bengali ১০০৬০০২ Tamil ௧௦௦௬௦௦௨ Thai ๑๐๐๖๐๐๒ Tibetan ༡༠༠༦༠༠༢ Khmer ១០០៦០០២ Lao ໑໐໐໖໐໐໒ Burmese ၁၀၀၆၀၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006002, here are decompositions:

13 + 1005989 = 1006002
31 + 1005971 = 1006002
43 + 1005959 = 1006002
71 + 1005931 = 1006002
89 + 1005913 = 1006002
181 + 1005821 = 1006002
241 + 1005761 = 1006002
251 + 1005751 = 1006002

Showing the first eight; more decompositions exist.

Hex color

#0F59B2

RGB(15, 89, 178)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.89.178.

Address: 0.15.89.178
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.89.178

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 1,006,002 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 US1,006,002 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1006002 first appears in π at position 210,772 of the decimal expansion (the 210,772ordinal-suffix:nd 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 1006002 on Pi Search ↗