Live analysis

1,002,072

1,002,072 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.).

1,002,072 (one million two thousand seventy-two) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 43 × 971. Its proper divisors sum to 1,564,008, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A58.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,002,060 1,002,061 1,002,062 1,002,063 1,002,064 1,002,065 1,002,066 1,002,067 1,002,068 1,002,069 1,002,070 1,002,071 1,002,072 1,002,073 1,002,074 1,002,075 1,002,076 1,002,077 1,002,078 1,002,079 1,002,080 1,002,081 1,002,082 1,002,083 1,002,084

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 2,702,001
Square (n²): 1,004,148,293,184
Cube (n³): 1,006,228,888,447,477,248
Divisor count: 32
σ(n) — sum of divisors: 2,566,080
φ(n) — Euler's totient: 325,920
Sum of prime factors: 1,023

Primality

Prime factorization: 2 ³ × 3 × 43 × 971

Nearest primes: 1,002,061 (−11) · 1,002,073 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 43 · 86 · 129 · 172 · 258 · 344 · 516 · 971 · 1032 · 1942 · 2913 · 3884 · 5826 · 7768 · 11652 · 23304 · 41753 · 83506 · 125259 · 167012 · 250518 · 334024 · 501036 (half) · 1002072

Aliquot sum (sum of proper divisors): 1,564,008

Factor pairs (a × b = 1,002,072)

1 × 1002072

2 × 501036

3 × 334024

4 × 250518

6 × 167012

8 × 125259

12 × 83506

24 × 41753

43 × 23304

86 × 11652

129 × 7768

172 × 5826

258 × 3884

344 × 2913

516 × 1942

971 × 1032

First multiples

1,002,072 · 2,004,144 (double) · 3,006,216 · 4,008,288 · 5,010,360 · 6,012,432 · 7,014,504 · 8,016,576 · 9,018,648 · 10,020,720

Sums & aliquot sequence

As consecutive integers: 334,023 + 334,024 + 334,025 62,622 + 62,623 + … + 62,637 23,283 + 23,284 + … + 23,325 20,853 + 20,854 + … + 20,900

Aliquot sequence: 1,002,072 → 1,564,008 → 2,346,072 → 3,610,728 → 7,396,632 → 13,817,808 → 24,853,266 → 29,756,718 → 35,006,682 → 35,174,310 → 51,306,042 → 56,995,494 → 60,263,130 → 92,877,414 → 119,413,914 → 120,628,614 → 120,628,626 — unresolved within range

Continued fraction of √n

√1,002,072 = [1001; (28, 5, 17, 16, 2, 20, 6, 2, 4, 1, 1, 1, 4, 1, 1, 2, 1, 1, 6, 2, 1, 1, 5, 1, …)]

Representations

In words: one million two thousand seventy-two
Ordinal: 1002072nd
Binary: 11110100101001011000
Octal: 3645130
Hexadecimal: 0xF4A58
Base64: D0pY
One's complement: 4,293,965,223 (32-bit)
Scientific notation: 1.002072 × 10⁶
As a duration: 1,002,072 s = 11 days, 14 hours, 21 minutes, 12 seconds

In other bases

ternary (3) 1212220120210

quaternary (4) 3310221120

quinary (5) 224031242

senary (6) 33251120

septenary (7) 11342331

nonary (9) 1786523

undecimal (11) 624965

duodecimal (12) 403aa0

tridecimal (13) 291156

tetradecimal (14) 1c1288

pentadecimal (15) 14bd9c

As an angle

1,002,072° = 2,783 × 360° + 192°

192° ≈ 3.351 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬二千零七十二
Chinese (financial): 壹佰萬貳仟零柒拾貳

In other modern scripts

Eastern Arabic ١٠٠٢٠٧٢ Devanagari १००२०७२ Bengali ১০০২০৭২ Tamil ௧௦௦௨௦௭௨ Thai ๑๐๐๒๐๗๒ Tibetan ༡༠༠༢༠༧༢ Khmer ១០០២០៧២ Lao ໑໐໐໒໐໗໒ Burmese ၁၀၀၂၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002072, here are decompositions:

11 + 1002061 = 1002072
23 + 1002049 = 1002072
83 + 1001989 = 1002072
89 + 1001983 = 1002072
131 + 1001941 = 1002072
139 + 1001933 = 1002072
233 + 1001839 = 1002072
241 + 1001831 = 1002072

Showing the first eight; more decompositions exist.

Hex color

#0F4A58

RGB(15, 74, 88)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.88.

Address: 0.15.74.88
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.88

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 1,002,072 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 US1,002,072 on Google Patents ↗ Look up on USPTO ↗