Live analysis

1,007,052

1,007,052 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.).

1,007,052 (one million seven thousand fifty-two) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 83,921. Its proper divisors sum to 1,342,764, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5DCC.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

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 1,007,059 1,007,060 1,007,061 1,007,062 1,007,063 1,007,064

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,507,001
Square (n²): 1,014,153,730,704
Cube (n³): 1,021,305,542,812,924,608
Divisor count: 12
σ(n) — sum of divisors: 2,349,816
φ(n) — Euler's totient: 335,680
Sum of prime factors: 83,928

Primality

Prime factorization: 2 ² × 3 × 83921

Nearest primes: 1,007,047 (−5) · 1,007,059 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 83921 · 167842 · 251763 · 335684 · 503526 (half) · 1007052

Aliquot sum (sum of proper divisors): 1,342,764

Factor pairs (a × b = 1,007,052)

1 × 1007052

2 × 503526

3 × 335684

4 × 251763

6 × 167842

12 × 83921

First multiples

1,007,052 · 2,014,104 (double) · 3,021,156 · 4,028,208 · 5,035,260 · 6,042,312 · 7,049,364 · 8,056,416 · 9,063,468 · 10,070,520

Sums & aliquot sequence

As consecutive integers: 335,683 + 335,684 + 335,685 125,878 + 125,879 + … + 125,885 41,949 + 41,950 + … + 41,972

Aliquot sequence: 1,007,052 → 1,342,764 → 2,138,756 → 1,615,036 → 1,258,044 → 1,750,164 → 2,676,972 → 3,722,820 → 6,701,244 → 10,356,804 → 15,822,986 → 7,933,018 → 4,019,162 → 3,057,958 → 1,528,982 → 1,395,562 → 1,027,670 — unresolved within range

Continued fraction of √n

√1,007,052 = [1003; (1, 1, 12, 8, 6, 1, 6, 1, 1, 1, 11, 3, 2, 1, 1, 4, 1, 3, 1, 4, 2, 1, 1, 1, …)]

Representations

In words: one million seven thousand fifty-two
Ordinal: 1007052nd
Binary: 11110101110111001100
Octal: 3656714
Hexadecimal: 0xF5DCC
Base64: D13M
One's complement: 4,293,960,243 (32-bit)
Scientific notation: 1.007052 × 10⁶
As a duration: 1,007,052 s = 11 days, 15 hours, 44 minutes, 12 seconds

In other bases

ternary (3) 1220011102020

quaternary (4) 3311313030

quinary (5) 224211202

senary (6) 33330140

septenary (7) 11363004

nonary (9) 1804366

undecimal (11) 628682

duodecimal (12) 406950

tridecimal (13) 2934b7

tetradecimal (14) 1c3004

pentadecimal (15) 14d5bc

As an angle

1,007,052° = 2,797 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬七千零五十二
Chinese (financial): 壹佰萬柒仟零伍拾貳

In other modern scripts

Eastern Arabic ١٠٠٧٠٥٢ Devanagari १००७०५२ Bengali ১০০৭০৫২ Tamil ௧௦௦௭௦௫௨ Thai ๑๐๐๗๐๕๒ Tibetan ༡༠༠༧༠༥༢ Khmer ១០០៧០៥២ Lao ໑໐໐໗໐໕໒ Burmese ၁၀၀၇၀၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1007052, here are decompositions:

5 + 1007047 = 1007052
29 + 1007023 = 1007052
31 + 1007021 = 1007052
61 + 1006991 = 1007052
73 + 1006979 = 1007052
83 + 1006969 = 1007052
103 + 1006949 = 1007052
173 + 1006879 = 1007052

Showing the first eight; more decompositions exist.

Hex color

#0F5DCC

RGB(15, 93, 204)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.93.204.

Address: 0.15.93.204
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.93.204

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 1,007,052 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 US1,007,052 on Google Patents ↗ Look up on USPTO ↗