Live analysis

1,010,072

1,010,072 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.).

1,010,072 (one million ten thousand seventy-two) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 7 × 17 × 1,061. Its proper divisors sum to 1,283,848, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF6998.

Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,010,060 1,010,061 1,010,062 1,010,063 1,010,064 1,010,065 1,010,066 1,010,067 1,010,068 1,010,069 1,010,070 1,010,071 1,010,072 1,010,073 1,010,074 1,010,075 1,010,076 1,010,077 1,010,078 1,010,079 1,010,080 1,010,081 1,010,082 1,010,083 1,010,084

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 2,700,101
Square (n²): 1,020,245,445,184
Cube (n³): 1,030,521,357,307,893,248
Divisor count: 32
σ(n) — sum of divisors: 2,293,920
φ(n) — Euler's totient: 407,040
Sum of prime factors: 1,091

Primality

Prime factorization: 2 ³ × 7 × 17 × 1061

Nearest primes: 1,010,069 (−3) · 1,010,081 (+9)

Divisors & multiples

All divisors (32)

1 · 2 · 4 · 7 · 8 · 14 · 17 · 28 · 34 · 56 · 68 · 119 · 136 · 238 · 476 · 952 · 1061 · 2122 · 4244 · 7427 · 8488 · 14854 · 18037 · 29708 · 36074 · 59416 · 72148 · 126259 · 144296 · 252518 · 505036 (half) · 1010072

Aliquot sum (sum of proper divisors): 1,283,848

Factor pairs (a × b = 1,010,072)

1 × 1010072

2 × 505036

4 × 252518

7 × 144296

8 × 126259

14 × 72148

17 × 59416

28 × 36074

34 × 29708

56 × 18037

68 × 14854

119 × 8488

136 × 7427

238 × 4244

476 × 2122

952 × 1061

First multiples

1,010,072 · 2,020,144 (double) · 3,030,216 · 4,040,288 · 5,050,360 · 6,060,432 · 7,070,504 · 8,080,576 · 9,090,648 · 10,100,720

Sums & aliquot sequence

As consecutive integers: 144,293 + 144,294 + … + 144,299 63,122 + 63,123 + … + 63,137 59,408 + 59,409 + … + 59,424 8,963 + 8,964 + … + 9,074

Aliquot sequence: 1,010,072 → 1,283,848 → 1,123,382 → 691,354 → 369,926 → 200,074 → 154,742 → 115,438 → 57,722 → 51,718 → 30,002 → 21,454 → 12,674 → 6,340 → 7,016 → 6,154 → 3,674 — unresolved within range

Continued fraction of √n

√1,010,072 = [1005; (42, 1, 3, 3, 1, 1, 4, 1, 2, 7, 6, 1, 6, 1, 1, 3, 1, 6, 2, 1, 2, 12, 8, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words: one million ten thousand seventy-two
Ordinal: 1010072nd
Binary: 11110110100110011000
Octal: 3664630
Hexadecimal: 0xF6998
Base64: D2mY
One's complement: 4,293,957,223 (32-bit)
Scientific notation: 1.010072 × 10⁶
As a duration: 1,010,072 s = 11 days, 16 hours, 34 minutes, 32 seconds

In other bases

ternary (3) 1220022120002

quaternary (4) 3312212120

quinary (5) 224310242

senary (6) 33352132

septenary (7) 11404550

nonary (9) 1808502

undecimal (11) 62a978

duodecimal (12) 408648

tridecimal (13) 29499b

tetradecimal (14) 1c4160

pentadecimal (15) 14e432

As an angle

1,010,072° = 2,805 × 360° + 272°

272° ≈ 4.747 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百零一萬零七十二
Chinese (financial): 壹佰零壹萬零柒拾貳

In other modern scripts

Eastern Arabic ١٠١٠٠٧٢ Devanagari १०१००७२ Bengali ১০১০০৭২ Tamil ௧௦௧௦௦௭௨ Thai ๑๐๑๐๐๗๒ Tibetan ༡༠༡༠༠༧༢ Khmer ១០១០០៧២ Lao ໑໐໑໐໐໗໒ Burmese ၁၀၁၀၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010072, here are decompositions:

3 + 1010069 = 1010072
79 + 1009993 = 1010072
109 + 1009963 = 1010072
163 + 1009909 = 1010072
199 + 1009873 = 1010072
229 + 1009843 = 1010072
331 + 1009741 = 1010072
421 + 1009651 = 1010072

Showing the first eight; more decompositions exist.

Hex color

#0F6998

RGB(15, 105, 152)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.105.152.

Address: 0.15.105.152
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.105.152

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 0072 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

0072-10-01 (MMDYYYY (US, single-digit day))
0072-01-10 (DDMYYYY (Euro, single-digit month))

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 1,010,072 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 US1,010,072 on Google Patents ↗ Look up on USPTO ↗