Live analysis

1,006,464

1,006,464 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.).

1,006,464 (one million six thousand four hundred sixty-four) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 3 × 2,621. Its proper divisors sum to 1,667,976, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5B80.

Abundant Number Evil Number Refactorable Number Self Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,006,452 1,006,453 1,006,454 1,006,455 1,006,456 1,006,457 1,006,458 1,006,459 1,006,460 1,006,461 1,006,462 1,006,463 1,006,464 1,006,465 1,006,466 1,006,467 1,006,468 1,006,469 1,006,470 1,006,471 1,006,472 1,006,473 1,006,474 1,006,475 1,006,476

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 4,646,001
Square (n²): 1,012,969,783,296
Cube (n³): 1,019,517,619,975,225,344
Divisor count: 32
σ(n) — sum of divisors: 2,674,440
φ(n) — Euler's totient: 335,360
Sum of prime factors: 2,638

Primality

Prime factorization: 2 ⁷ × 3 × 2621

Nearest primes: 1,006,463 (−1) · 1,006,469 (+5)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 128 · 192 · 384 · 2621 · 5242 · 7863 · 10484 · 15726 · 20968 · 31452 · 41936 · 62904 · 83872 · 125808 · 167744 · 251616 · 335488 · 503232 (half) · 1006464

Aliquot sum (sum of proper divisors): 1,667,976

Factor pairs (a × b = 1,006,464)

1 × 1006464

2 × 503232

3 × 335488

4 × 251616

6 × 167744

8 × 125808

12 × 83872

16 × 62904

24 × 41936

32 × 31452

48 × 20968

64 × 15726

96 × 10484

128 × 7863

192 × 5242

384 × 2621

First multiples

1,006,464 · 2,012,928 (double) · 3,019,392 · 4,025,856 · 5,032,320 · 6,038,784 · 7,045,248 · 8,051,712 · 9,058,176 · 10,064,640

Sums & aliquot sequence

As consecutive integers: 335,487 + 335,488 + 335,489 3,804 + 3,805 + … + 4,059 927 + 928 + … + 1,694

Aliquot sequence: 1,006,464 → 1,667,976 → 2,502,024 → 4,807,416 → 7,265,544 → 15,112,056 → 22,909,704 → 34,364,616 → 81,756,984 → 122,635,536 → 194,173,056 → 511,258,944 → 1,113,983,424 → 2,119,599,136 → 2,134,824,128 → 2,101,467,628 → 1,955,591,252 — unresolved within range

Continued fraction of √n

√1,006,464 = [1003; (4, 2, 2, 3, 1, 9, 1, 1, 1, 1, 1, 6, 1, 18, 4, 6, 6, 9, 11, 1, 9, 1, 1, 2, …)]

Representations

In words: one million six thousand four hundred sixty-four
Ordinal: 1006464th
Binary: 11110101101110000000
Octal: 3655600
Hexadecimal: 0xF5B80
Base64: D1uA
One's complement: 4,293,960,831 (32-bit)
Scientific notation: 1.006464 × 10⁶
As a duration: 1,006,464 s = 11 days, 15 hours, 34 minutes, 24 seconds

In other bases

ternary (3) 1220010121110

quaternary (4) 3311232000

quinary (5) 224201324

senary (6) 33323320

septenary (7) 11361204

nonary (9) 1803543

undecimal (11) 628198

duodecimal (12) 406540

tridecimal (13) 293154

tetradecimal (14) 1c2b04

pentadecimal (15) 14d329

As an angle

1,006,464° = 2,795 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百萬六千四百六十四
Chinese (financial): 壹佰萬陸仟肆佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٠٦٤٦٤ Devanagari १००६४६४ Bengali ১০০৬৪৬৪ Tamil ௧௦௦௬௪௬௪ Thai ๑๐๐๖๔๖๔ Tibetan ༡༠༠༦༤༦༤ Khmer ១០០៦៤៦៤ Lao ໑໐໐໖໔໖໔ Burmese ၁၀၀၆၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006464, here are decompositions:

23 + 1006441 = 1006464
31 + 1006433 = 1006464
71 + 1006393 = 1006464
73 + 1006391 = 1006464
97 + 1006367 = 1006464
103 + 1006361 = 1006464
113 + 1006351 = 1006464
127 + 1006337 = 1006464

Showing the first eight; more decompositions exist.

Hex color

#0F5B80

RGB(15, 91, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.128.

Address: 0.15.91.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.91.128

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 1,006,464 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 US1,006,464 on Google Patents ↗ Look up on USPTO ↗