Live analysis

1,004,460

1,004,460 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.).

1,004,460 (one million four thousand four hundred sixty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 16,741. Its proper divisors sum to 1,808,196, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF53AC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,004,448 1,004,449 1,004,450 1,004,451 1,004,452 1,004,453 1,004,454 1,004,455 1,004,456 1,004,457 1,004,458 1,004,459 1,004,460 1,004,461 1,004,462 1,004,463 1,004,464 1,004,465 1,004,466 1,004,467 1,004,468 1,004,469 1,004,470 1,004,471 1,004,472

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 644,001
Square (n²): 1,008,939,891,600
Cube (n³): 1,013,439,763,516,536,000
Divisor count: 24
σ(n) — sum of divisors: 2,812,656
φ(n) — Euler's totient: 267,840
Sum of prime factors: 16,753

Primality

Prime factorization: 2 ² × 3 × 5 × 16741

Nearest primes: 1,004,453 (−7) · 1,004,461 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 16741 · 33482 · 50223 · 66964 · 83705 · 100446 · 167410 · 200892 · 251115 · 334820 · 502230 (half) · 1004460

Aliquot sum (sum of proper divisors): 1,808,196

Factor pairs (a × b = 1,004,460)

1 × 1004460

2 × 502230

3 × 334820

4 × 251115

5 × 200892

6 × 167410

10 × 100446

12 × 83705

15 × 66964

20 × 50223

30 × 33482

60 × 16741

First multiples

1,004,460 · 2,008,920 (double) · 3,013,380 · 4,017,840 · 5,022,300 · 6,026,760 · 7,031,220 · 8,035,680 · 9,040,140 · 10,044,600

Sums & aliquot sequence

As consecutive integers: 334,819 + 334,820 + 334,821 200,890 + 200,891 + 200,892 + 200,893 + 200,894 125,554 + 125,555 + … + 125,561 66,957 + 66,958 + … + 66,971

Aliquot sequence: 1,004,460 → 1,808,196 → 2,829,948 → 4,431,852 → 6,835,404 → 9,113,900 → 10,663,480 → 13,329,440 → 18,386,272 → 17,921,384 → 18,266,236 → 13,842,092 → 13,231,780 → 16,190,228 → 12,677,632 → 14,967,920 → 23,681,392 — unresolved within range

Continued fraction of √n

√1,004,460 = [1002; (4, 2, 1, 1, 7, 1, 3, 1, 9, 32, 1, 3, 7, 1, 2, 1, 3, 6, 1, 2, 56, 1, 11, 1, …)]

Representations

In words: one million four thousand four hundred sixty
Ordinal: 1004460th
Binary: 11110101001110101100
Octal: 3651654
Hexadecimal: 0xF53AC
Base64: D1Os
One's complement: 4,293,962,835 (32-bit)
Scientific notation: 1.00446 × 10⁶
As a duration: 1,004,460 s = 11 days, 15 hours, 1 minute

In other bases

ternary (3) 1220000212020

quaternary (4) 3311032230

quinary (5) 224120320

senary (6) 33310140

septenary (7) 11352312

nonary (9) 1800766

undecimal (11) 626736

duodecimal (12) 405350

tridecimal (13) 292272

tetradecimal (14) 1c20b2

pentadecimal (15) 14c940

As an angle

1,004,460° = 2,790 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬四千四百六十
Chinese (financial): 壹佰萬肆仟肆佰陸拾

In other modern scripts

Eastern Arabic ١٠٠٤٤٦٠ Devanagari १००४४६० Bengali ১০০৪৪৬০ Tamil ௧௦௦௪௪௬௦ Thai ๑๐๐๔๔๖๐ Tibetan ༡༠༠༤༤༦༠ Khmer ១០០៤៤៦០ Lao ໑໐໐໔໔໖໐ Burmese ၁၀၀၄၄၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004460, here are decompositions:

7 + 1004453 = 1004460
11 + 1004449 = 1004460
19 + 1004441 = 1004460
31 + 1004429 = 1004460
59 + 1004401 = 1004460
89 + 1004371 = 1004460
97 + 1004363 = 1004460
137 + 1004323 = 1004460

Showing the first eight; more decompositions exist.

Hex color

#0F53AC

RGB(15, 83, 172)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.83.172.

Address: 0.15.83.172
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.83.172

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 1,004,460 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 US1,004,460 on Google Patents ↗ Look up on USPTO ↗