Live analysis

1,000,448

1,000,448 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.).

1,000,448 (one million four hundred forty-eight) is an even 7-digit number. It is a composite number with 22 divisors, and factors as 2¹⁰ × 977. Its proper divisors sum to 1,001,518, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4400.

Abundant Number Evil Number Frugal Number Happy Number Practical Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,000,436 1,000,437 1,000,438 1,000,439 1,000,440 1,000,441 1,000,442 1,000,443 1,000,444 1,000,445 1,000,446 1,000,447 1,000,448 1,000,449 1,000,450 1,000,451 1,000,452 1,000,453 1,000,454 1,000,455 1,000,456 1,000,457 1,000,458 1,000,459 1,000,460

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 8,440,001
Square (n²): 1,000,896,200,704
Cube (n³): 1,001,344,602,201,915,392
Divisor count: 22
σ(n) — sum of divisors: 2,001,966
φ(n) — Euler's totient: 499,712
Sum of prime factors: 997

Primality

Prime factorization: 2 ¹⁰ × 977

Nearest primes: 1,000,429 (−19) · 1,000,453 (+5)

Divisors & multiples

All divisors (22)

1 · 2 · 4 · 8 · 16 · 32 · 64 · 128 · 256 · 512 · 977 · 1024 · 1954 · 3908 · 7816 · 15632 · 31264 · 62528 · 125056 · 250112 · 500224 (half) · 1000448

Aliquot sum (sum of proper divisors): 1,001,518

Factor pairs (a × b = 1,000,448)

1 × 1000448

2 × 500224

4 × 250112

8 × 125056

16 × 62528

32 × 31264

64 × 15632

128 × 7816

256 × 3908

512 × 1954

977 × 1024

First multiples

1,000,448 · 2,000,896 (double) · 3,001,344 · 4,001,792 · 5,002,240 · 6,002,688 · 7,003,136 · 8,003,584 · 9,004,032 · 10,004,480

Sums & aliquot sequence

As a sum of two squares: 128² + 992²

As consecutive integers: 536 + 537 + … + 1,512

Aliquot sequence: 1,000,448 → 1,001,518 → 715,394 → 445,174 → 222,590 → 178,090 → 171,830 → 137,482 → 72,794 → 42,874 → 31,214 → 15,610 → 16,646 → 13,594 → 9,734 → 5,434 → 4,646 — unresolved within range

Continued fraction of √n

√1,000,448 = [1000; (4, 2, 6, 1, 1, 2, 64, 7, 2, 1, 18, 1, 2, 1, 5, 1, 1, 9, 1, 4, 1, 2, 2, 117, …)]

Representations

In words: one million four hundred forty-eight
Ordinal: 1000448th
Binary: 11110100010000000000
Octal: 3642000
Hexadecimal: 0xF4400
Base64: D0QA
One's complement: 4,293,966,847 (32-bit)
Scientific notation: 1.000448 × 10⁶
As a duration: 1,000,448 s = 11 days, 13 hours, 54 minutes, 8 seconds

In other bases

ternary (3) 1212211100122

quaternary (4) 3310100000

quinary (5) 224003243

senary (6) 33235412

septenary (7) 11334521

nonary (9) 1784318

undecimal (11) 623719

duodecimal (12) 402b68

tridecimal (13) 2904a7

tetradecimal (14) 1c0848

pentadecimal (15) 14b668

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬零四百四十八
Chinese (financial): 壹佰萬零肆佰肆拾捌

In other modern scripts

Eastern Arabic ١٠٠٠٤٤٨ Devanagari १०००४४८ Bengali ১০০০৪৪৮ Tamil ௧௦௦௦௪௪௮ Thai ๑๐๐๐๔๔๘ Tibetan ༡༠༠༠༤༤༨ Khmer ១០០០៤៤៨ Lao ໑໐໐໐໔໔໘ Burmese ၁၀၀၀၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000448, here are decompositions:

19 + 1000429 = 1000448
67 + 1000381 = 1000448
157 + 1000291 = 1000448
199 + 1000249 = 1000448
277 + 1000171 = 1000448
331 + 1000117 = 1000448
349 + 1000099 = 1000448
367 + 1000081 = 1000448

Showing the first eight; more decompositions exist.

Hex color

#0F4400

RGB(15, 68, 0)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.68.0.

Address: 0.15.68.0
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.68.0

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 1,000,448 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 US1,000,448 on Google Patents ↗ Look up on USPTO ↗