Live analysis

1,001,604

1,001,604 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.).

1,001,604 (one million one thousand six hundred four) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2² × 3 × 19 × 23 × 191. Its proper divisors sum to 1,578,876, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4884.

Abundant Number Arithmetic Number Cube-Free Evil Number Harshad / Niven Practical Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,001,592 1,001,593 1,001,594 1,001,595 1,001,596 1,001,597 1,001,598 1,001,599 1,001,600 1,001,601 1,001,602 1,001,603 1,001,604 1,001,605 1,001,606 1,001,607 1,001,608 1,001,609 1,001,610 1,001,611 1,001,612 1,001,613 1,001,614 1,001,615 1,001,616

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 4,061,001
Square (n²): 1,003,210,572,816
Cube (n³): 1,004,819,722,574,796,864
Divisor count: 48
σ(n) — sum of divisors: 2,580,480
φ(n) — Euler's totient: 300,960
Sum of prime factors: 240

Primality

Prime factorization: 2 ² × 3 × 19 × 23 × 191

Nearest primes: 1,001,593 (−11) · 1,001,621 (+17)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 12 · 19 · 23 · 38 · 46 · 57 · 69 · 76 · 92 · 114 · 138 · 191 · 228 · 276 · 382 · 437 · 573 · 764 · 874 · 1146 · 1311 · 1748 · 2292 · 2622 · 3629 · 4393 · 5244 · 7258 · 8786 · 10887 · 13179 · 14516 · 17572 · 21774 · 26358 · 43548 · 52716 · 83467 · 166934 · 250401 · 333868 · 500802 (half) · 1001604

Aliquot sum (sum of proper divisors): 1,578,876

Factor pairs (a × b = 1,001,604)

1 × 1001604

2 × 500802

3 × 333868

4 × 250401

6 × 166934

12 × 83467

19 × 52716

23 × 43548

38 × 26358

46 × 21774

57 × 17572

69 × 14516

76 × 13179

92 × 10887

114 × 8786

138 × 7258

191 × 5244

228 × 4393

276 × 3629

382 × 2622

437 × 2292

573 × 1748

764 × 1311

874 × 1146

First multiples

1,001,604 · 2,003,208 (double) · 3,004,812 · 4,006,416 · 5,008,020 · 6,009,624 · 7,011,228 · 8,012,832 · 9,014,436 · 10,016,040

Sums & aliquot sequence

As consecutive integers: 333,867 + 333,868 + 333,869 125,197 + 125,198 + … + 125,204 52,707 + 52,708 + … + 52,725 43,537 + 43,538 + … + 43,559

Aliquot sequence: 1,001,604 → 1,578,876 → 2,537,124 → 3,382,860 → 6,820,116 → 9,161,388 → 14,146,260 → 27,551,340 → 59,131,620 → 135,331,740 → 295,178,340 → 531,321,180 → 1,151,958,180 → 2,167,232,604 → 3,084,850,596 → 4,138,757,628 → 5,753,883,732 — unresolved within range

Continued fraction of √n

√1,001,604 = [1000; (1, 4, 23, 1, 1, 1, 2, 3, 1, 40, 12, 1, 8, 79, 1, 19, 1, 6, 3, 1, 1, 1, 8, 3, …)]

Representations

In words: one million one thousand six hundred four
Ordinal: 1001604th
Binary: 11110100100010000100
Octal: 3644204
Hexadecimal: 0xF4884
Base64: D0iE
One's complement: 4,293,965,691 (32-bit)
Scientific notation: 1.001604 × 10⁶
As a duration: 1,001,604 s = 11 days, 14 hours, 13 minutes, 24 seconds

In other bases

ternary (3) 1212212221110

quaternary (4) 3310202010

quinary (5) 224022404

senary (6) 33245020

septenary (7) 11341062

nonary (9) 1785843

undecimal (11) 62457a

duodecimal (12) 403770

tridecimal (13) 290b86

tetradecimal (14) 1c1032

pentadecimal (15) 14bb89

As an angle

1,001,604° = 2,782 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Chinese: 一百萬一千六百零四
Chinese (financial): 壹佰萬壹仟陸佰零肆

In other modern scripts

Eastern Arabic ١٠٠١٦٠٤ Devanagari १००१६०४ Bengali ১০০১৬০৪ Tamil ௧௦௦௧௬௦௪ Thai ๑๐๐๑๖๐๔ Tibetan ༡༠༠༡༦༠༤ Khmer ១០០១៦០៤ Lao ໑໐໐໑໖໐໔ Burmese ၁၀၀၁၆၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001604, here are decompositions:

11 + 1001593 = 1001604
17 + 1001587 = 1001604
41 + 1001563 = 1001604
53 + 1001551 = 1001604
73 + 1001531 = 1001604
103 + 1001501 = 1001604
113 + 1001491 = 1001604
137 + 1001467 = 1001604

Showing the first eight; more decompositions exist.

Hex color

#0F4884

RGB(15, 72, 132)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.72.132.

Address: 0.15.72.132
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.72.132

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 1,001,604 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 US1,001,604 on Google Patents ↗ Look up on USPTO ↗