Live analysis

1,001,472

1,001,472 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.).

1,001,472 (one million one thousand four hundred seventy-two) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2¹¹ × 3 × 163. Its proper divisors sum to 1,684,848, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4800.

Abundant Number Arithmetic Number Evil Number Gapful Number Practical Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

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 1,001,473 1,001,474 1,001,475 1,001,476 1,001,477 1,001,478 1,001,479 1,001,480 1,001,481 1,001,482 1,001,483 1,001,484

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 2,741,001
Square (n²): 1,002,946,166,784
Cube (n³): 1,004,422,503,541,506,048
Divisor count: 48
σ(n) — sum of divisors: 2,686,320
φ(n) — Euler's totient: 331,776
Sum of prime factors: 188

Primality

Prime factorization: 2 ¹¹ × 3 × 163

Nearest primes: 1,001,467 (−5) · 1,001,491 (+19)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 128 · 163 · 192 · 256 · 326 · 384 · 489 · 512 · 652 · 768 · 978 · 1024 · 1304 · 1536 · 1956 · 2048 · 2608 · 3072 · 3912 · 5216 · 6144 · 7824 · 10432 · 15648 · 20864 · 31296 · 41728 · 62592 · 83456 · 125184 · 166912 · 250368 · 333824 · 500736 (half) · 1001472

Aliquot sum (sum of proper divisors): 1,684,848

Factor pairs (a × b = 1,001,472)

1 × 1001472

2 × 500736

3 × 333824

4 × 250368

6 × 166912

8 × 125184

12 × 83456

16 × 62592

24 × 41728

32 × 31296

48 × 20864

64 × 15648

96 × 10432

128 × 7824

163 × 6144

192 × 5216

256 × 3912

326 × 3072

384 × 2608

489 × 2048

512 × 1956

652 × 1536

768 × 1304

978 × 1024

First multiples

1,001,472 · 2,002,944 (double) · 3,004,416 · 4,005,888 · 5,007,360 · 6,008,832 · 7,010,304 · 8,011,776 · 9,013,248 · 10,014,720

Sums & aliquot sequence

As consecutive integers: 333,823 + 333,824 + 333,825 6,063 + 6,064 + … + 6,225 1,804 + 1,805 + … + 2,292

Aliquot sequence: 1,001,472 → 1,684,848 → 3,064,848 → 4,979,280 → 10,457,232 → 16,557,408 → 38,793,888 → 89,584,362 → 132,243,894 → 161,631,546 → 180,647,238 → 180,959,658 → 213,861,558 → 213,861,570 → 338,889,342 → 400,505,730 → 560,708,094 — unresolved within range

Continued fraction of √n

√1,001,472 = [1000; (1, 2, 1, 3, 1, 1, 1, 2, 3, 124, 1, 3, 1, 9, 6, 2, 1, 499, 1, 2, 6, 9, 1, 3, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: one million one thousand four hundred seventy-two
Ordinal: 1001472nd
Binary: 11110100100000000000
Octal: 3644000
Hexadecimal: 0xF4800
Base64: D0gA
One's complement: 4,293,965,823 (32-bit)
Scientific notation: 1.001472 × 10⁶
As a duration: 1,001,472 s = 11 days, 14 hours, 11 minutes, 12 seconds

In other bases

ternary (3) 1212212202120

quaternary (4) 3310200000

quinary (5) 224021342

senary (6) 33244240

septenary (7) 11340513

nonary (9) 1785676

undecimal (11) 62446a

duodecimal (12) 403680

tridecimal (13) 290ab4

tetradecimal (14) 1c0d7a

pentadecimal (15) 14baec

As an angle

1,001,472° = 2,781 × 360° + 312°

312° ≈ 5.445 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese: 一百萬一千四百七十二
Chinese (financial): 壹佰萬壹仟肆佰柒拾貳

In other modern scripts

Eastern Arabic ١٠٠١٤٧٢ Devanagari १००१४७२ Bengali ১০০১৪৭২ Tamil ௧௦௦௧௪௭௨ Thai ๑๐๐๑๔๗๒ Tibetan ༡༠༠༡༤༧༢ Khmer ១០០១៤៧២ Lao ໑໐໐໑໔໗໒ Burmese ၁၀၀၁၄၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001472, here are decompositions:

5 + 1001467 = 1001472
13 + 1001459 = 1001472
41 + 1001431 = 1001472
61 + 1001411 = 1001472
71 + 1001401 = 1001472
83 + 1001389 = 1001472
103 + 1001369 = 1001472
149 + 1001323 = 1001472

Showing the first eight; more decompositions exist.

Hex color

#0F4800

RGB(15, 72, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.72.0.

Address: 0.15.72.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.72.0

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 1,001,472 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 US1,001,472 on Google Patents ↗ Look up on USPTO ↗