Live analysis

1,001,448

1,001,448 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.).

1,001,448 (one million one thousand four hundred forty-eight) is an even 7-digit number. It is a composite number with 48 divisors, and factors as 2³ × 3² × 7 × 1,987. Its proper divisors sum to 2,099,832, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF47E8.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,001,436 1,001,437 1,001,438 1,001,439 1,001,440 1,001,441 1,001,442 1,001,443 1,001,444 1,001,445 1,001,446 1,001,447 1,001,448 1,001,449 1,001,450 1,001,451 1,001,452 1,001,453 1,001,454 1,001,455 1,001,456 1,001,457 1,001,458 1,001,459 1,001,460

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 8,441,001
Square (n²): 1,002,898,096,704
Cube (n³): 1,004,350,293,148,027,392
Divisor count: 48
σ(n) — sum of divisors: 3,101,280
φ(n) — Euler's totient: 285,984
Sum of prime factors: 2,006

Primality

Prime factorization: 2 ³ × 3 ² × 7 × 1987

Nearest primes: 1,001,447 (−1) · 1,001,459 (+11)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 7 · 8 · 9 · 12 · 14 · 18 · 21 · 24 · 28 · 36 · 42 · 56 · 63 · 72 · 84 · 126 · 168 · 252 · 504 · 1987 · 3974 · 5961 · 7948 · 11922 · 13909 · 15896 · 17883 · 23844 · 27818 · 35766 · 41727 · 47688 · 55636 · 71532 · 83454 · 111272 · 125181 · 143064 · 166908 · 250362 · 333816 · 500724 (half) · 1001448

Aliquot sum (sum of proper divisors): 2,099,832

Factor pairs (a × b = 1,001,448)

1 × 1001448

2 × 500724

3 × 333816

4 × 250362

6 × 166908

7 × 143064

8 × 125181

9 × 111272

12 × 83454

14 × 71532

18 × 55636

21 × 47688

24 × 41727

28 × 35766

36 × 27818

42 × 23844

56 × 17883

63 × 15896

72 × 13909

84 × 11922

126 × 7948

168 × 5961

252 × 3974

504 × 1987

First multiples

1,001,448 · 2,002,896 (double) · 3,004,344 · 4,005,792 · 5,007,240 · 6,008,688 · 7,010,136 · 8,011,584 · 9,013,032 · 10,014,480

Sums & aliquot sequence

As consecutive integers: 333,815 + 333,816 + 333,817 143,061 + 143,062 + … + 143,067 111,268 + 111,269 + … + 111,276 62,583 + 62,584 + … + 62,598

Aliquot sequence: 1,001,448 → 2,099,832 → 4,120,968 → 6,181,512 → 9,368,568 → 19,028,232 → 33,612,408 → 60,535,272 → 113,042,328 → 209,936,232 → 431,583,768 → 1,105,843,032 → 2,317,006,008 → 4,127,826,672 → 7,428,749,632 → 7,315,415,444 → 5,486,561,590 — unresolved within range

Continued fraction of √n

√1,001,448 = [1000; (1, 2, 1, 1, 1, 1, 1, 2, 2, 1, 4, 1, 11, 6, 4, 71, 4, 6, 11, 1, 4, 1, 2, 2, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words: one million one thousand four hundred forty-eight
Ordinal: 1001448th
Binary: 11110100011111101000
Octal: 3643750
Hexadecimal: 0xF47E8
Base64: D0fo
One's complement: 4,293,965,847 (32-bit)
Scientific notation: 1.001448 × 10⁶
As a duration: 1,001,448 s = 11 days, 14 hours, 10 minutes, 48 seconds

In other bases

ternary (3) 1212212201200

quaternary (4) 3310133220

quinary (5) 224021243

senary (6) 33244200

septenary (7) 11340450

nonary (9) 1785650

undecimal (11) 624448

duodecimal (12) 403660

tridecimal (13) 290a96

tetradecimal (14) 1c0d60

pentadecimal (15) 14bad3

As an angle

1,001,448° = 2,781 × 360° + 288°

288° ≈ 5.027 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千四百四十八
Chinese (financial): 壹佰萬壹仟肆佰肆拾捌

In other modern scripts

Eastern Arabic ١٠٠١٤٤٨ Devanagari १००१४४८ Bengali ১০০১৪৪৮ Tamil ௧௦௦௧௪௪௮ Thai ๑๐๐๑๔๔๘ Tibetan ༡༠༠༡༤༤༨ Khmer ១០០១៤៤៨ Lao ໑໐໐໑໔໔໘ Burmese ၁၀၀၁၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001448, here are decompositions:

17 + 1001431 = 1001448
37 + 1001411 = 1001448
47 + 1001401 = 1001448
59 + 1001389 = 1001448
61 + 1001387 = 1001448
67 + 1001381 = 1001448
79 + 1001369 = 1001448
101 + 1001347 = 1001448

Showing the first eight; more decompositions exist.

Hex color

#0F47E8

RGB(15, 71, 232)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.232.

Address: 0.15.71.232
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.232

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 1,001,448 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 US1,001,448 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1001448 first appears in π at position 188,218 of the decimal expansion (the 188,218ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Look up 1001448 on Pi Search ↗