Live analysis

1,001,072

1,001,072 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.).

1,001,072 (one million one thousand seventy-two) is an even 7-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 19 × 37 × 89. Its proper divisors sum to 1,119,328, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4670.

Abundant Number Arithmetic Number Evil Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,001,060 1,001,061 1,001,062 1,001,063 1,001,064 1,001,065 1,001,066 1,001,067 1,001,068 1,001,069 1,001,070 1,001,071 1,001,072 1,001,073 1,001,074 1,001,075 1,001,076 1,001,077 1,001,078 1,001,079 1,001,080 1,001,081 1,001,082 1,001,083 1,001,084

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 11
Digit product: 0
Digital root: 2
Palindrome: No
Bit width: 20 bits
Reversed: 2,701,001
Square (n²): 1,002,145,149,184
Cube (n³): 1,003,219,448,783,925,248
Divisor count: 40
σ(n) — sum of divisors: 2,120,400
φ(n) — Euler's totient: 456,192
Sum of prime factors: 153

Primality

Prime factorization: 2 ⁴ × 19 × 37 × 89

Nearest primes: 1,001,069 (−3) · 1,001,081 (+9)

Divisors & multiples

All divisors (40)

1 · 2 · 4 · 8 · 16 · 19 · 37 · 38 · 74 · 76 · 89 · 148 · 152 · 178 · 296 · 304 · 356 · 592 · 703 · 712 · 1406 · 1424 · 1691 · 2812 · 3293 · 3382 · 5624 · 6586 · 6764 · 11248 · 13172 · 13528 · 26344 · 27056 · 52688 · 62567 · 125134 · 250268 · 500536 (half) · 1001072

Aliquot sum (sum of proper divisors): 1,119,328

Factor pairs (a × b = 1,001,072)

1 × 1001072

2 × 500536

4 × 250268

8 × 125134

16 × 62567

19 × 52688

37 × 27056

38 × 26344

74 × 13528

76 × 13172

89 × 11248

148 × 6764

152 × 6586

178 × 5624

296 × 3382

304 × 3293

356 × 2812

592 × 1691

703 × 1424

712 × 1406

First multiples

1,001,072 · 2,002,144 (double) · 3,003,216 · 4,004,288 · 5,005,360 · 6,006,432 · 7,007,504 · 8,008,576 · 9,009,648 · 10,010,720

Sums & aliquot sequence

As consecutive integers: 52,679 + 52,680 + … + 52,697 31,268 + 31,269 + … + 31,299 27,038 + 27,039 + … + 27,074 11,204 + 11,205 + … + 11,292

Aliquot sequence: 1,001,072 → 1,119,328 → 1,541,792 → 1,927,744 → 2,794,624 → 3,570,176 → 3,959,104 → 3,897,370 → 3,182,030 → 2,545,642 → 1,645,622 → 1,072,522 → 682,550 → 803,962 → 401,984 → 469,744 → 588,224 — unresolved within range

Continued fraction of √n

√1,001,072 = [1000; (1, 1, 6, 2, 8, 1, 1, 26, 1, 7, 1, 1, 1, 1, 1, 40, 4, 1, 1, 1, 6, 3, 27, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words: one million one thousand seventy-two
Ordinal: 1001072nd
Binary: 11110100011001110000
Octal: 3643160
Hexadecimal: 0xF4670
Base64: D0Zw
One's complement: 4,293,966,223 (32-bit)
Scientific notation: 1.001072 × 10⁶
As a duration: 1,001,072 s = 11 days, 14 hours, 4 minutes, 32 seconds

In other bases

ternary (3) 1212212012202

quaternary (4) 3310121300

quinary (5) 224013242

senary (6) 33242332

septenary (7) 11336402

nonary (9) 1785182

undecimal (11) 624136

duodecimal (12) 4033a8

tridecimal (13) 290867

tetradecimal (14) 1c0b72

pentadecimal (15) 14b932

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬一千零七十二
Chinese (financial): 壹佰萬壹仟零柒拾貳

In other modern scripts

Eastern Arabic ١٠٠١٠٧٢ Devanagari १००१०७२ Bengali ১০০১০৭২ Tamil ௧௦௦௧௦௭௨ Thai ๑๐๐๑๐๗๒ Tibetan ༡༠༠༡༠༧༢ Khmer ១០០១០៧២ Lao ໑໐໐໑໐໗໒ Burmese ၁၀၀၁၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001072, here are decompositions:

3 + 1001069 = 1001072
31 + 1001041 = 1001072
73 + 1000999 = 1001072
103 + 1000969 = 1001072
151 + 1000921 = 1001072
211 + 1000861 = 1001072
223 + 1000849 = 1001072
349 + 1000723 = 1001072

Showing the first eight; more decompositions exist.

Hex color

#0F4670

RGB(15, 70, 112)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.112.

Address: 0.15.70.112
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.112

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 1,001,072 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 US1,001,072 on Google Patents ↗ Look up on USPTO ↗