Live analysis

1,016,448

1,016,448 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.).

1,016,448 (one million sixteen thousand four hundred forty-eight) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2⁷ × 3 × 2,647. Its proper divisors sum to 1,684,512, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF8280.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,016,436 1,016,437 1,016,438 1,016,439 1,016,440 1,016,441 1,016,442 1,016,443 1,016,444 1,016,445 1,016,446 1,016,447 1,016,448 1,016,449 1,016,450 1,016,451 1,016,452 1,016,453 1,016,454 1,016,455 1,016,456 1,016,457 1,016,458 1,016,459 1,016,460

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 8,446,101
Square (n²): 1,033,166,536,704
Cube (n³): 1,050,160,059,899,707,392
Divisor count: 32
σ(n) — sum of divisors: 2,700,960
φ(n) — Euler's totient: 338,688
Sum of prime factors: 2,664

Primality

Prime factorization: 2 ⁷ × 3 × 2647

Nearest primes: 1,016,441 (−7) · 1,016,453 (+5)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 64 · 96 · 128 · 192 · 384 · 2647 · 5294 · 7941 · 10588 · 15882 · 21176 · 31764 · 42352 · 63528 · 84704 · 127056 · 169408 · 254112 · 338816 · 508224 (half) · 1016448

Aliquot sum (sum of proper divisors): 1,684,512

Factor pairs (a × b = 1,016,448)

1 × 1016448

2 × 508224

3 × 338816

4 × 254112

6 × 169408

8 × 127056

12 × 84704

16 × 63528

24 × 42352

32 × 31764

48 × 21176

64 × 15882

96 × 10588

128 × 7941

192 × 5294

384 × 2647

First multiples

1,016,448 · 2,032,896 (double) · 3,049,344 · 4,065,792 · 5,082,240 · 6,098,688 · 7,115,136 · 8,131,584 · 9,148,032 · 10,164,480

Sums & aliquot sequence

As consecutive integers: 338,815 + 338,816 + 338,817 3,843 + 3,844 + … + 4,098 940 + 941 + … + 1,707

Aliquot sequence: 1,016,448 → 1,684,512 → 3,106,638 → 3,691,530 → 5,906,682 → 8,200,224 → 15,719,616 → 34,755,264 → 67,423,856 → 76,078,864 → 71,323,966 → 56,824,514 → 32,566,006 → 20,723,858 → 10,361,932 → 11,471,348 → 11,471,404 — unresolved within range

Continued fraction of √n

√1,016,448 = [1008; (5, 3, 1, 125, 3, 1, 4, 1, 1, 503, 1, 1, 4, 1, 3, 125, 1, 3, 5, 2016)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: one million sixteen thousand four hundred forty-eight
Ordinal: 1016448th
Binary: 11111000001010000000
Octal: 3701200
Hexadecimal: 0xF8280
Base64: D4KA
One's complement: 4,293,950,847 (32-bit)
Scientific notation: 1.016448 × 10⁶
As a duration: 1,016,448 s = 11 days, 18 hours, 20 minutes, 48 seconds

In other bases

ternary (3) 1220122022020

quaternary (4) 3320022000

quinary (5) 230011243

senary (6) 33441440

septenary (7) 11432256

nonary (9) 1818266

undecimal (11) 634744

duodecimal (12) 410280

tridecimal (13) 297864

tetradecimal (14) 1c65d6

pentadecimal (15) 151283

As an angle

1,016,448° = 2,823 × 360° + 168°

168° ≈ 2.932 rad

Compass bearing: SSE (south-southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬六千四百四十八
Chinese (financial): 壹佰零壹萬陸仟肆佰肆拾捌

In other modern scripts

Eastern Arabic ١٠١٦٤٤٨ Devanagari १०१६४४८ Bengali ১০১৬৪৪৮ Tamil ௧௦௧௬௪௪௮ Thai ๑๐๑๖๔๔๘ Tibetan ༡༠༡༦༤༤༨ Khmer ១០១៦៤៤៨ Lao ໑໐໑໖໔໔໘ Burmese ၁၀၁၆၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1016448, here are decompositions:

7 + 1016441 = 1016448
29 + 1016419 = 1016448
47 + 1016401 = 1016448
89 + 1016359 = 1016448
107 + 1016341 = 1016448
109 + 1016339 = 1016448
211 + 1016237 = 1016448
227 + 1016221 = 1016448

Showing the first eight; more decompositions exist.

Hex color

#0F8280

RGB(15, 130, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.130.128.

Address: 0.15.130.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.130.128

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 6448 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

6448-10-01 (MMDYYYY (US, single-digit day))
6448-01-10 (DDMYYYY (Euro, single-digit month))

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 1,016,448 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 US1,016,448 on Google Patents ↗ Look up on USPTO ↗