Live analysis

1,001,406

1,001,406 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.).

1,001,406 (one million one thousand four hundred six) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 7 × 113 × 211. Its proper divisors sum to 1,318,722, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF47BE.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,001,394 1,001,395 1,001,396 1,001,397 1,001,398 1,001,399 1,001,400 1,001,401 1,001,402 1,001,403 1,001,404 1,001,405 1,001,406 1,001,407 1,001,408 1,001,409 1,001,410 1,001,411 1,001,412 1,001,413 1,001,414 1,001,415 1,001,416 1,001,417 1,001,418

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 12
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 6,041,001
Square (n²): 1,002,813,976,836
Cube (n³): 1,004,223,933,287,431,416
Divisor count: 32
σ(n) — sum of divisors: 2,320,128
φ(n) — Euler's totient: 282,240
Sum of prime factors: 336

Primality

Prime factorization: 2 × 3 × 7 × 113 × 211

Nearest primes: 1,001,401 (−5) · 1,001,411 (+5)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 6 · 7 · 14 · 21 · 42 · 113 · 211 · 226 · 339 · 422 · 633 · 678 · 791 · 1266 · 1477 · 1582 · 2373 · 2954 · 4431 · 4746 · 8862 · 23843 · 47686 · 71529 · 143058 · 166901 · 333802 · 500703 (half) · 1001406

Aliquot sum (sum of proper divisors): 1,318,722

Factor pairs (a × b = 1,001,406)

1 × 1001406

2 × 500703

3 × 333802

6 × 166901

7 × 143058

14 × 71529

21 × 47686

42 × 23843

113 × 8862

211 × 4746

226 × 4431

339 × 2954

422 × 2373

633 × 1582

678 × 1477

791 × 1266

First multiples

1,001,406 · 2,002,812 (double) · 3,004,218 · 4,005,624 · 5,007,030 · 6,008,436 · 7,009,842 · 8,011,248 · 9,012,654 · 10,014,060

Sums & aliquot sequence

As consecutive integers: 333,801 + 333,802 + 333,803 250,350 + 250,351 + 250,352 + 250,353 143,055 + 143,056 + … + 143,061 83,445 + 83,446 + … + 83,456

Aliquot sequence: 1,001,406 → 1,318,722 → 1,318,734 → 1,611,906 → 1,801,758 → 2,316,642 → 2,349,150 → 3,477,114 → 4,658,886 → 5,435,406 → 7,518,834 → 8,896,266 → 10,379,016 → 20,415,384 → 40,658,616 → 69,458,664 → 119,974,776 — unresolved within range

Continued fraction of √n

√1,001,406 = [1000; (1, 2, 2, 1, 2, 1, 13, 1, 3, 2, 2, 3, 1, 7, 1, 2, 1, 8, 1, 2, 1, 7, 1, 3, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: one million one thousand four hundred six
Ordinal: 1001406th
Binary: 11110100011110111110
Octal: 3643676
Hexadecimal: 0xF47BE
Base64: D0e+
One's complement: 4,293,965,889 (32-bit)
Scientific notation: 1.001406 × 10⁶
As a duration: 1,001,406 s = 11 days, 14 hours, 10 minutes, 6 seconds

In other bases

ternary (3) 1212212200010

quaternary (4) 3310132332

quinary (5) 224021111

senary (6) 33244050

septenary (7) 11340360

nonary (9) 1785603

undecimal (11) 62440a

duodecimal (12) 403626

tridecimal (13) 290a63

tetradecimal (14) 1c0d30

pentadecimal (15) 14baa6

As an angle

1,001,406° = 2,781 × 360° + 246°

246° ≈ 4.294 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千四百零六
Chinese (financial): 壹佰萬壹仟肆佰零陸

In other modern scripts

Eastern Arabic ١٠٠١٤٠٦ Devanagari १००१४०६ Bengali ১০০১৪০৬ Tamil ௧௦௦௧௪௦௬ Thai ๑๐๐๑๔๐๖ Tibetan ༡༠༠༡༤༠༦ Khmer ១០០១៤០៦ Lao ໑໐໐໑໔໐໖ Burmese ၁၀၀၁၄၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001406, here are decompositions:

5 + 1001401 = 1001406
17 + 1001389 = 1001406
19 + 1001387 = 1001406
37 + 1001369 = 1001406
53 + 1001353 = 1001406
59 + 1001347 = 1001406
79 + 1001327 = 1001406
83 + 1001323 = 1001406

Showing the first eight; more decompositions exist.

Hex color

#0F47BE

RGB(15, 71, 190)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.190.

Address: 0.15.71.190
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.190

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 1,001,406 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 US1,001,406 on Google Patents ↗ Look up on USPTO ↗