Live analysis

1,007,046

1,007,046 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.).

1,007,046 (one million seven thousand forty-six) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 17 × 1,097. Its proper divisors sum to 1,364,634, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5DC6.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,007,034 1,007,035 1,007,036 1,007,037 1,007,038 1,007,039 1,007,040 1,007,041 1,007,042 1,007,043 1,007,044 1,007,045 1,007,046 1,007,047 1,007,048 1,007,049 1,007,050 1,007,051 1,007,052 1,007,053 1,007,054 1,007,055 1,007,056 1,007,057 1,007,058

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 6,407,001
Square (n²): 1,014,141,646,116
Cube (n³): 1,021,287,288,154,533,336
Divisor count: 32
σ(n) — sum of divisors: 2,371,680
φ(n) — Euler's totient: 315,648
Sum of prime factors: 1,125

Primality

Prime factorization: 2 × 3 ³ × 17 × 1097

Nearest primes: 1,007,023 (−23) · 1,007,047 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 9 · 17 · 18 · 27 · 34 · 51 · 54 · 102 · 153 · 306 · 459 · 918 · 1097 · 2194 · 3291 · 6582 · 9873 · 18649 · 19746 · 29619 · 37298 · 55947 · 59238 · 111894 · 167841 · 335682 · 503523 (half) · 1007046

Aliquot sum (sum of proper divisors): 1,364,634

Factor pairs (a × b = 1,007,046)

1 × 1007046

2 × 503523

3 × 335682

6 × 167841

9 × 111894

17 × 59238

18 × 55947

27 × 37298

34 × 29619

51 × 19746

54 × 18649

102 × 9873

153 × 6582

306 × 3291

459 × 2194

918 × 1097

First multiples

1,007,046 · 2,014,092 (double) · 3,021,138 · 4,028,184 · 5,035,230 · 6,042,276 · 7,049,322 · 8,056,368 · 9,063,414 · 10,070,460

Sums & aliquot sequence

As consecutive integers: 335,681 + 335,682 + 335,683 251,760 + 251,761 + 251,762 + 251,763 111,890 + 111,891 + … + 111,898 83,915 + 83,916 + … + 83,926

Aliquot sequence: 1,007,046 → 1,364,634 → 1,754,406 → 2,224,314 → 3,011,526 → 4,914,234 → 6,552,858 → 7,561,158 → 10,727,994 → 10,919,238 → 12,904,698 → 12,904,710 → 26,770,170 → 47,971,878 → 49,451,994 → 57,869,766 → 67,830,354 — unresolved within range

Continued fraction of √n

√1,007,046 = [1003; (1, 1, 14, 2, 1, 2, 1, 1, 1, 8, 3, 2, 19, 2, 3, 1, 2, 1, 1, 2, 1, 9, 4, 1, …)]

Representations

In words: one million seven thousand forty-six
Ordinal: 1007046th
Binary: 11110101110111000110
Octal: 3656706
Hexadecimal: 0xF5DC6
Base64: D13G
One's complement: 4,293,960,249 (32-bit)
Scientific notation: 1.007046 × 10⁶
As a duration: 1,007,046 s = 11 days, 15 hours, 44 minutes, 6 seconds

In other bases

ternary (3) 1220011102000

quaternary (4) 3311313012

quinary (5) 224211141

senary (6) 33330130

septenary (7) 11362665

nonary (9) 1804360

undecimal (11) 628677

duodecimal (12) 406946

tridecimal (13) 2934b1

tetradecimal (14) 1c2ddc

pentadecimal (15) 14d5b6

As an angle

1,007,046° = 2,797 × 360° + 126°

126° ≈ 2.199 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬七千零四十六
Chinese (financial): 壹佰萬柒仟零肆拾陸

In other modern scripts

Eastern Arabic ١٠٠٧٠٤٦ Devanagari १००७०४६ Bengali ১০০৭০৪৬ Tamil ௧௦௦௭௦௪௬ Thai ๑๐๐๗๐๔๖ Tibetan ༡༠༠༧༠༤༦ Khmer ១០០៧០៤៦ Lao ໑໐໐໗໐໔໖ Burmese ၁၀၀၇၀၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007046, here are decompositions:

23 + 1007023 = 1007046
59 + 1006987 = 1007046
67 + 1006979 = 1007046
97 + 1006949 = 1007046
109 + 1006937 = 1007046
113 + 1006933 = 1007046
149 + 1006897 = 1007046
163 + 1006883 = 1007046

Showing the first eight; more decompositions exist.

Hex color

#0F5DC6

RGB(15, 93, 198)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.198.

Address: 0.15.93.198
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.93.198

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 1,007,046 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 US1,007,046 on Google Patents ↗ Look up on USPTO ↗