Live analysis

1,005,472

1,005,472 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.).

1,005,472 (one million five thousand four hundred seventy-two) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 13 × 2,417. Its proper divisors sum to 1,127,204, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF57A0.

Abundant Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

1,005,460 1,005,461 1,005,462 1,005,463 1,005,464 1,005,465 1,005,466 1,005,467 1,005,468 1,005,469 1,005,470 1,005,471 1,005,472 1,005,473 1,005,474 1,005,475 1,005,476 1,005,477 1,005,478 1,005,479 1,005,480 1,005,481 1,005,482 1,005,483 1,005,484

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 19
Digit product: 0
Digital root: 1
Palindrome: No
Bit width: 20 bits
Reversed: 2,745,001
Square (n²): 1,010,973,942,784
Cube (n³): 1,016,505,992,198,914,048
Divisor count: 24
σ(n) — sum of divisors: 2,132,676
φ(n) — Euler's totient: 463,872
Sum of prime factors: 2,440

Primality

Prime factorization: 2 ⁵ × 13 × 2417

Nearest primes: 1,005,467 (−5) · 1,005,481 (+9)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 8 · 13 · 16 · 26 · 32 · 52 · 104 · 208 · 416 · 2417 · 4834 · 9668 · 19336 · 31421 · 38672 · 62842 · 77344 · 125684 · 251368 · 502736 (half) · 1005472

Aliquot sum (sum of proper divisors): 1,127,204

Factor pairs (a × b = 1,005,472)

1 × 1005472

2 × 502736

4 × 251368

8 × 125684

13 × 77344

16 × 62842

26 × 38672

32 × 31421

52 × 19336

104 × 9668

208 × 4834

416 × 2417

First multiples

1,005,472 · 2,010,944 (double) · 3,016,416 · 4,021,888 · 5,027,360 · 6,032,832 · 7,038,304 · 8,043,776 · 9,049,248 · 10,054,720

Sums & aliquot sequence

As a sum of two squares: 116² + 996² = 276² + 964²

As consecutive integers: 77,338 + 77,339 + … + 77,350 15,679 + 15,680 + … + 15,742 793 + 794 + … + 1,624

Aliquot sequence: 1,005,472 → 1,127,204 → 1,042,516 → 781,894 → 398,474 → 218,614 → 158,666 → 79,336 → 73,304 → 111,376 → 104,446 → 52,226 → 26,116 → 19,594 → 10,394 → 5,200 → 8,254 — unresolved within range

Continued fraction of √n

√1,005,472 = [1002; (1, 2, 1, 2, 1, 3, 2, 3, 2, 2, 4, 2, 2, 3, 2, 3, 1, 2, 1, 2, 1, 2004)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: one million five thousand four hundred seventy-two
Ordinal: 1005472nd
Binary: 11110101011110100000
Octal: 3653640
Hexadecimal: 0xF57A0
Base64: D1eg
One's complement: 4,293,961,823 (32-bit)
Scientific notation: 1.005472 × 10⁶
As a duration: 1,005,472 s = 11 days, 15 hours, 17 minutes, 52 seconds

In other bases

ternary (3) 1220002020201

quaternary (4) 3311132200

quinary (5) 224133342

senary (6) 33314544

septenary (7) 11355256

nonary (9) 1802221

undecimal (11) 627476

duodecimal (12) 405a54

tridecimal (13) 292870

tetradecimal (14) 1c25d6

pentadecimal (15) 14cdb7

As an angle

1,005,472° = 2,792 × 360° + 352°

352° ≈ 6.144 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬五千四百七十二
Chinese (financial): 壹佰萬伍仟肆佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٠٥٤٧٢ Devanagari १००५४७२ Bengali ১০০৫৪৭২ Tamil ௧௦௦௫௪௭௨ Thai ๑๐๐๕๔๗๒ Tibetan ༡༠༠༥༤༧༢ Khmer ១០០៥៤៧២ Lao ໑໐໐໕໔໗໒ Burmese ၁၀၀၅၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1005472, here are decompositions:

5 + 1005467 = 1005472
59 + 1005413 = 1005472
101 + 1005371 = 1005472
113 + 1005359 = 1005472
179 + 1005293 = 1005472
233 + 1005239 = 1005472
263 + 1005209 = 1005472
269 + 1005203 = 1005472

Showing the first eight; more decompositions exist.

Hex color

#0F57A0

RGB(15, 87, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.87.160.

Address: 0.15.87.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.87.160

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 1,005,472 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 US1,005,472 on Google Patents ↗ Look up on USPTO ↗