Live analysis

1,006,410

1,006,410 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.).

1,006,410 (one million six thousand four hundred ten) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 33,547. Its proper divisors sum to 1,409,046, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5B4A.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,006,398 1,006,399 1,006,400 1,006,401 1,006,402 1,006,403 1,006,404 1,006,405 1,006,406 1,006,407 1,006,408 1,006,409 1,006,410 1,006,411 1,006,412 1,006,413 1,006,414 1,006,415 1,006,416 1,006,417 1,006,418 1,006,419 1,006,420 1,006,421 1,006,422

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 146,001
Square (n²): 1,012,861,088,100
Cube (n³): 1,019,353,527,674,721,000
Divisor count: 16
σ(n) — sum of divisors: 2,415,456
φ(n) — Euler's totient: 268,368
Sum of prime factors: 33,557

Primality

Prime factorization: 2 × 3 × 5 × 33547

Nearest primes: 1,006,393 (−17) · 1,006,433 (+23)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 33547 · 67094 · 100641 · 167735 · 201282 · 335470 · 503205 (half) · 1006410

Aliquot sum (sum of proper divisors): 1,409,046

Factor pairs (a × b = 1,006,410)

1 × 1006410

2 × 503205

3 × 335470

5 × 201282

6 × 167735

10 × 100641

15 × 67094

30 × 33547

First multiples

1,006,410 · 2,012,820 (double) · 3,019,230 · 4,025,640 · 5,032,050 · 6,038,460 · 7,044,870 · 8,051,280 · 9,057,690 · 10,064,100

Sums & aliquot sequence

As consecutive integers: 335,469 + 335,470 + 335,471 251,601 + 251,602 + 251,603 + 251,604 201,280 + 201,281 + 201,282 + 201,283 + 201,284 83,862 + 83,863 + … + 83,873

Aliquot sequence: 1,006,410 → 1,409,046 → 1,448,538 → 2,190,342 → 3,325,434 → 4,411,974 → 5,817,786 → 6,712,998 → 6,914,202 → 6,914,214 → 10,020,186 → 14,477,958 → 19,743,138 → 23,737,338 → 30,719,610 → 49,653,774 → 57,929,442 — unresolved within range

Continued fraction of √n

√1,006,410 = [1003; (5, 334, 5, 2006)]

Period length 4 — the block in parentheses repeats forever.

Representations

In words: one million six thousand four hundred ten
Ordinal: 1006410th
Binary: 11110101101101001010
Octal: 3655512
Hexadecimal: 0xF5B4A
Base64: D1tK
One's complement: 4,293,960,885 (32-bit)
Scientific notation: 1.00641 × 10⁶
As a duration: 1,006,410 s = 11 days, 15 hours, 33 minutes, 30 seconds

In other bases

ternary (3) 1220010112110

quaternary (4) 3311231022

quinary (5) 224201120

senary (6) 33323150

septenary (7) 11361066

nonary (9) 1803473

undecimal (11) 628149

duodecimal (12) 4064b6

tridecimal (13) 293112

tetradecimal (14) 1c2aa6

pentadecimal (15) 14d2e0

As an angle

1,006,410° = 2,795 × 360° + 210°

210° ≈ 3.665 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆
Chinese: 一百萬六千四百一十
Chinese (financial): 壹佰萬陸仟肆佰壹拾

In other modern scripts

Eastern Arabic ١٠٠٦٤١٠ Devanagari १००६४१० Bengali ১০০৬৪১০ Tamil ௧௦௦௬௪௧௦ Thai ๑๐๐๖๔๑๐ Tibetan ༡༠༠༦༤༡༠ Khmer ១០០៦៤១០ Lao ໑໐໐໖໔໑໐ Burmese ၁၀၀၆၄၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1006410, here are decompositions:

17 + 1006393 = 1006410
19 + 1006391 = 1006410
43 + 1006367 = 1006410
59 + 1006351 = 1006410
71 + 1006339 = 1006410
73 + 1006337 = 1006410
79 + 1006331 = 1006410
101 + 1006309 = 1006410

Showing the first eight; more decompositions exist.

Hex color

#0F5B4A

RGB(15, 91, 74)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.91.74.

Address: 0.15.91.74
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.91.74

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 1,006,410 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 US1,006,410 on Google Patents ↗ Look up on USPTO ↗