Live analysis

1,001,664

1,001,664 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.).

1,001,664 (one million one thousand six hundred sixty-four) is an even 7-digit number. It is a composite number with 84 divisors, and factors as 2⁶ × 3² × 37 × 47. Its proper divisors sum to 2,009,760, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF48C0.

Abundant Number Evil Number Harshad / Niven Practical Number Weird Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,001,652 1,001,653 1,001,654 1,001,655 1,001,656 1,001,657 1,001,658 1,001,659 1,001,660 1,001,661 1,001,662 1,001,663 1,001,664 1,001,665 1,001,666 1,001,667 1,001,668 1,001,669 1,001,670 1,001,671 1,001,672 1,001,673 1,001,674 1,001,675 1,001,676

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 4,661,001
Square (n²): 1,003,330,768,896
Cube (n³): 1,005,000,311,295,442,944
Divisor count: 84
σ(n) — sum of divisors: 3,011,424
φ(n) — Euler's totient: 317,952
Sum of prime factors: 102

Primality

Prime factorization: 2 ⁶ × 3 ² × 37 × 47

Nearest primes: 1,001,659 (−5) · 1,001,669 (+5)

Divisors & multiples

All divisors (84)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 37 · 47 · 48 · 64 · 72 · 74 · 94 · 96 · 111 · 141 · 144 · 148 · 188 · 192 · 222 · 282 · 288 · 296 · 333 · 376 · 423 · 444 · 564 · 576 · 592 · 666 · 752 · 846 · 888 · 1128 · 1184 · 1332 · 1504 · 1692 · 1739 · 1776 · 2256 · 2368 · 2664 · 3008 · 3384 · 3478 · 3552 · 4512 · 5217 · 5328 · 6768 · 6956 · 7104 · 9024 · 10434 · 10656 · 13536 · 13912 · 15651 · 20868 · 21312 · 27072 · 27824 · 31302 · 41736 · 55648 · 62604 · 83472 · 111296 · 125208 · 166944 · 250416 · 333888 · 500832 (half) · 1001664

Aliquot sum (sum of proper divisors): 2,009,760

Factor pairs (a × b = 1,001,664)

1 × 1001664

2 × 500832

3 × 333888

4 × 250416

6 × 166944

8 × 125208

9 × 111296

12 × 83472

16 × 62604

18 × 55648

24 × 41736

32 × 31302

36 × 27824

37 × 27072

47 × 21312

48 × 20868

64 × 15651

72 × 13912

74 × 13536

94 × 10656

96 × 10434

111 × 9024

141 × 7104

144 × 6956

148 × 6768

188 × 5328

192 × 5217

222 × 4512

282 × 3552

288 × 3478

296 × 3384

333 × 3008

376 × 2664

423 × 2368

444 × 2256

564 × 1776

576 × 1739

592 × 1692

666 × 1504

752 × 1332

846 × 1184

888 × 1128

First multiples

1,001,664 · 2,003,328 (double) · 3,004,992 · 4,006,656 · 5,008,320 · 6,009,984 · 7,011,648 · 8,013,312 · 9,014,976 · 10,016,640

Sums & aliquot sequence

As consecutive integers: 333,887 + 333,888 + 333,889 111,292 + 111,293 + … + 111,300 27,054 + 27,055 + … + 27,090 21,289 + 21,290 + … + 21,335

Aliquot sequence: 1,001,664 → 2,009,760 → 4,522,080 → 9,723,984 → 15,563,088 → 31,481,520 → 82,087,104 → 154,852,224 → 256,475,016 → 558,921,384 → 1,236,921,336 → 2,591,646,264 → 4,496,911,056 → 9,829,332,720 → 24,027,265,200 — keeps growing

Continued fraction of √n

√1,001,664 = [1000; (1, 4, 1, 15, 1, 2, 2, 3, 1, 2, 2, 2, 1, 499, 1, 2, 2, 2, 1, 3, 2, 2, 1, 15, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: one million one thousand six hundred sixty-four
Ordinal: 1001664th
Binary: 11110100100011000000
Octal: 3644300
Hexadecimal: 0xF48C0
Base64: D0jA
One's complement: 4,293,965,631 (32-bit)
Scientific notation: 1.001664 × 10⁶
As a duration: 1,001,664 s = 11 days, 14 hours, 14 minutes, 24 seconds

In other bases

ternary (3) 1212220000200

quaternary (4) 3310203000

quinary (5) 224023124

senary (6) 33245200

septenary (7) 11341206

nonary (9) 1786020

undecimal (11) 624624

duodecimal (12) 403800

tridecimal (13) 290c01

tetradecimal (14) 1c1076

pentadecimal (15) 14bbc9

As an angle

1,001,664° = 2,782 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬一千六百六十四
Chinese (financial): 壹佰萬壹仟陸佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠١٦٦٤ Devanagari १००१६६४ Bengali ১০০১৬৬৪ Tamil ௧௦௦௧௬௬௪ Thai ๑๐๐๑๖๖๔ Tibetan ༡༠༠༡༦༦༤ Khmer ១០០១៦៦៤ Lao ໑໐໐໑໖໖໔ Burmese ၁၀၀၁၆၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001664, here are decompositions:

5 + 1001659 = 1001664
43 + 1001621 = 1001664
71 + 1001593 = 1001664
101 + 1001563 = 1001664
113 + 1001551 = 1001664
137 + 1001527 = 1001664
163 + 1001501 = 1001664
173 + 1001491 = 1001664

Showing the first eight; more decompositions exist.

Hex color

#0F48C0

RGB(15, 72, 192)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.72.192.

Address: 0.15.72.192
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.72.192

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 1,001,664 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 US1,001,664 on Google Patents ↗ Look up on USPTO ↗