Live analysis

1,001,460

1,001,460 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.).

1,001,460 (one million one thousand four hundred sixty) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 5 × 16,691. Its proper divisors sum to 1,802,796, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF47F4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,001,448 1,001,449 1,001,450 1,001,451 1,001,452 1,001,453 1,001,454 1,001,455 1,001,456 1,001,457 1,001,458 1,001,459 1,001,460 1,001,461 1,001,462 1,001,463 1,001,464 1,001,465 1,001,466 1,001,467 1,001,468 1,001,469 1,001,470 1,001,471 1,001,472

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 641,001
Square (n²): 1,002,922,131,600
Cube (n³): 1,004,386,397,912,136,000
Divisor count: 24
σ(n) — sum of divisors: 2,804,256
φ(n) — Euler's totient: 267,040
Sum of prime factors: 16,703

Primality

Prime factorization: 2 ² × 3 × 5 × 16691

Nearest primes: 1,001,459 (−1) · 1,001,467 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 30 · 60 · 16691 · 33382 · 50073 · 66764 · 83455 · 100146 · 166910 · 200292 · 250365 · 333820 · 500730 (half) · 1001460

Aliquot sum (sum of proper divisors): 1,802,796

Factor pairs (a × b = 1,001,460)

1 × 1001460

2 × 500730

3 × 333820

4 × 250365

5 × 200292

6 × 166910

10 × 100146

12 × 83455

15 × 66764

20 × 50073

30 × 33382

60 × 16691

First multiples

1,001,460 · 2,002,920 (double) · 3,004,380 · 4,005,840 · 5,007,300 · 6,008,760 · 7,010,220 · 8,011,680 · 9,013,140 · 10,014,600

Sums & aliquot sequence

As consecutive integers: 333,819 + 333,820 + 333,821 200,290 + 200,291 + 200,292 + 200,293 + 200,294 125,179 + 125,180 + … + 125,186 66,757 + 66,758 + … + 66,771

Aliquot sequence: 1,001,460 → 1,802,796 → 2,625,684 → 3,998,892 → 5,823,508 → 4,810,892 → 3,670,588 → 2,974,652 → 2,451,748 → 2,168,952 → 3,253,488 → 6,793,488 → 14,871,792 → 26,504,032 → 25,886,768 → 24,268,876 → 18,679,484 — unresolved within range

Continued fraction of √n

√1,001,460 = [1000; (1, 2, 1, 2, 2, 1, 181, 4, 33, 1, 2, 16, 4, 1, 8, 2, 1, 32, 1, 2, 8, 1, 4, 16, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: one million one thousand four hundred sixty
Ordinal: 1001460th
Binary: 11110100011111110100
Octal: 3643764
Hexadecimal: 0xF47F4
Base64: D0f0
One's complement: 4,293,965,835 (32-bit)
Scientific notation: 1.00146 × 10⁶
As a duration: 1,001,460 s = 11 days, 14 hours, 11 minutes

In other bases

ternary (3) 1212212202010

quaternary (4) 3310133310

quinary (5) 224021320

senary (6) 33244220

septenary (7) 11340465

nonary (9) 1785663

undecimal (11) 624459

duodecimal (12) 403670

tridecimal (13) 290aa5

tetradecimal (14) 1c0d6c

pentadecimal (15) 14bae0

As an angle

1,001,460° = 2,781 × 360° + 300°

300° ≈ 5.236 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆
Chinese: 一百萬一千四百六十
Chinese (financial): 壹佰萬壹仟肆佰陸拾

In other modern scripts

Eastern Arabic ١٠٠١٤٦٠ Devanagari १००१४६० Bengali ১০০১৪৬০ Tamil ௧௦௦௧௪௬௦ Thai ๑๐๐๑๔๖๐ Tibetan ༡༠༠༡༤༦༠ Khmer ១០០១៤៦០ Lao ໑໐໐໑໔໖໐ Burmese ၁၀၀၁၄၆၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001460, here are decompositions:

13 + 1001447 = 1001460
29 + 1001431 = 1001460
59 + 1001401 = 1001460
71 + 1001389 = 1001460
73 + 1001387 = 1001460
79 + 1001381 = 1001460
107 + 1001353 = 1001460
113 + 1001347 = 1001460

Showing the first eight; more decompositions exist.

Hex color

#0F47F4

RGB(15, 71, 244)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.244.

Address: 0.15.71.244
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.244

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 1,001,460 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 US1,001,460 on Google Patents ↗ Look up on USPTO ↗