Live analysis

1,001,064

1,001,064 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.).

1,001,064 (one million one thousand sixty-four) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 53 × 787. Its proper divisors sum to 1,552,056, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4668.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,001,052 1,001,053 1,001,054 1,001,055 1,001,056 1,001,057 1,001,058 1,001,059 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

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 4,601,001
Square (n²): 1,002,129,132,096
Cube (n³): 1,003,195,397,492,550,144
Divisor count: 32
σ(n) — sum of divisors: 2,553,120
φ(n) — Euler's totient: 326,976
Sum of prime factors: 849

Primality

Prime factorization: 2 ³ × 3 × 53 × 787

Nearest primes: 1,001,041 (−23) · 1,001,069 (+5)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 53 · 106 · 159 · 212 · 318 · 424 · 636 · 787 · 1272 · 1574 · 2361 · 3148 · 4722 · 6296 · 9444 · 18888 · 41711 · 83422 · 125133 · 166844 · 250266 · 333688 · 500532 (half) · 1001064

Aliquot sum (sum of proper divisors): 1,552,056

Factor pairs (a × b = 1,001,064)

1 × 1001064

2 × 500532

3 × 333688

4 × 250266

6 × 166844

8 × 125133

12 × 83422

24 × 41711

53 × 18888

106 × 9444

159 × 6296

212 × 4722

318 × 3148

424 × 2361

636 × 1574

787 × 1272

First multiples

1,001,064 · 2,002,128 (double) · 3,003,192 · 4,004,256 · 5,005,320 · 6,006,384 · 7,007,448 · 8,008,512 · 9,009,576 · 10,010,640

Sums & aliquot sequence

As consecutive integers: 333,687 + 333,688 + 333,689 62,559 + 62,560 + … + 62,574 20,832 + 20,833 + … + 20,879 18,862 + 18,863 + … + 18,914

Aliquot sequence: 1,001,064 → 1,552,056 → 2,681,544 → 4,022,376 → 6,564,024 → 11,669,976 → 20,247,624 → 35,996,376 → 61,870,344 → 101,905,176 → 152,857,824 → 305,717,664 → 682,985,184 → 1,455,103,776 → 3,016,763,232 → 6,042,318,240 → 15,710,039,520 — keeps growing

Continued fraction of √n

√1,001,064 = [1000; (1, 1, 7, 2, 1, 7, 2, 1, 4, 2, 1, 82, 1, 2, 4, 1, 2, 7, 1, 2, 7, 1, 1, 2000)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: one million one thousand sixty-four
Ordinal: 1001064th
Binary: 11110100011001101000
Octal: 3643150
Hexadecimal: 0xF4668
Base64: D0Zo
One's complement: 4,293,966,231 (32-bit)
Scientific notation: 1.001064 × 10⁶
As a duration: 1,001,064 s = 11 days, 14 hours, 4 minutes, 24 seconds

In other bases

ternary (3) 1212212012110

quaternary (4) 3310121220

quinary (5) 224013224

senary (6) 33242320

septenary (7) 11336361

nonary (9) 1785173

undecimal (11) 624129

duodecimal (12) 4033a0

tridecimal (13) 29085c

tetradecimal (14) 1c0b68

pentadecimal (15) 14b929

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬一千零六十四
Chinese (financial): 壹佰萬壹仟零陸拾肆

In other modern scripts

Eastern Arabic ١٠٠١٠٦٤ Devanagari १००१०६४ Bengali ১০০১০৬৪ Tamil ௧௦௦௧௦௬௪ Thai ๑๐๐๑๐๖๔ Tibetan ༡༠༠༡༠༦༤ Khmer ១០០១០៦៤ Lao ໑໐໐໑໐໖໔ Burmese ၁၀၀၁၀၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001064, here are decompositions:

23 + 1001041 = 1001064
37 + 1001027 = 1001064
41 + 1001023 = 1001064
47 + 1001017 = 1001064
61 + 1001003 = 1001064
83 + 1000981 = 1001064
157 + 1000907 = 1001064
271 + 1000793 = 1001064

Showing the first eight; more decompositions exist.

Hex color

#0F4668

RGB(15, 70, 104)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.70.104.

Address: 0.15.70.104
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.70.104

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 1,001,064 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 US1,001,064 on Google Patents ↗ Look up on USPTO ↗