Live analysis

1,005,072

1,005,072 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.).

1,005,072 (one million five thousand seventy-two) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 3 × 20,939. Its proper divisors sum to 1,591,488, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5610.

Abundant Number Arithmetic Number Gapful Number Happy Number Odious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,005,060 1,005,061 1,005,062 1,005,063 1,005,064 1,005,065 1,005,066 1,005,067 1,005,068 1,005,069 1,005,070 1,005,071 1,005,072 1,005,073 1,005,074 1,005,075 1,005,076 1,005,077 1,005,078 1,005,079 1,005,080 1,005,081 1,005,082 1,005,083 1,005,084

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,705,001
Square (n²): 1,010,169,725,184
Cube (n³): 1,015,293,306,030,133,248
Divisor count: 20
σ(n) — sum of divisors: 2,596,560
φ(n) — Euler's totient: 335,008
Sum of prime factors: 20,950

Primality

Prime factorization: 2 ⁴ × 3 × 20939

Nearest primes: 1,005,071 (−1) · 1,005,073 (+1)

Divisors & multiples

All divisors (20)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 48 · 20939 · 41878 · 62817 · 83756 · 125634 · 167512 · 251268 · 335024 · 502536 (half) · 1005072

Aliquot sum (sum of proper divisors): 1,591,488

Factor pairs (a × b = 1,005,072)

1 × 1005072

2 × 502536

3 × 335024

4 × 251268

6 × 167512

8 × 125634

12 × 83756

16 × 62817

24 × 41878

48 × 20939

First multiples

1,005,072 · 2,010,144 (double) · 3,015,216 · 4,020,288 · 5,025,360 · 6,030,432 · 7,035,504 · 8,040,576 · 9,045,648 · 10,050,720

Sums & aliquot sequence

As consecutive integers: 335,023 + 335,024 + 335,025 31,393 + 31,394 + … + 31,424 10,422 + 10,423 + … + 10,517

Aliquot sequence: 1,005,072 → 1,591,488 → 3,141,548 → 2,370,532 → 1,816,728 → 2,805,672 → 4,208,568 → 9,338,952 → 17,344,248 → 26,142,552 → 45,068,328 → 77,840,172 → 120,959,884 → 93,270,860 → 102,597,988 → 77,175,564 → 102,900,780 — unresolved within range

Continued fraction of √n

√1,005,072 = [1002; (1, 1, 7, 8, 11, 1, 7, 1, 1, 2, 1, 2, 6, 4, 86, 1, 14, 1, 2, 11, 1, 1, 9, 1, …)]

Representations

In words: one million five thousand seventy-two
Ordinal: 1005072nd
Binary: 11110101011000010000
Octal: 3653020
Hexadecimal: 0xF5610
Base64: D1YQ
One's complement: 4,293,962,223 (32-bit)
Scientific notation: 1.005072 × 10⁶
As a duration: 1,005,072 s = 11 days, 15 hours, 11 minutes, 12 seconds

In other bases

ternary (3) 1220001200220

quaternary (4) 3311120100

quinary (5) 224130242

senary (6) 33313040

septenary (7) 11354145

nonary (9) 1801626

undecimal (11) 627142

duodecimal (12) 405780

tridecimal (13) 292623

tetradecimal (14) 1c23cc

pentadecimal (15) 14cbec

As an angle

1,005,072° = 2,791 × 360° + 312°

312° ≈ 5.445 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬五千零七十二
Chinese (financial): 壹佰萬伍仟零柒拾貳

In other modern scripts

Eastern Arabic ١٠٠٥٠٧٢ Devanagari १००५०७२ Bengali ১০০৫০৭২ Tamil ௧௦௦௫௦௭௨ Thai ๑๐๐๕๐๗๒ Tibetan ༡༠༠༥༠༧༢ Khmer ១០០៥០៧២ Lao ໑໐໐໕໐໗໒ Burmese ၁၀၀၅၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1005072, here are decompositions:

23 + 1005049 = 1005072
31 + 1005041 = 1005072
43 + 1005029 = 1005072
53 + 1005019 = 1005072
59 + 1005013 = 1005072
109 + 1004963 = 1005072
199 + 1004873 = 1005072
293 + 1004779 = 1005072

Showing the first eight; more decompositions exist.

Hex color

#0F5610

RGB(15, 86, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.86.16.

Address: 0.15.86.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.86.16

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 1,005,072 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 US1,005,072 on Google Patents ↗ Look up on USPTO ↗