Live analysis

1,002,048

1,002,048 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.).

1,002,048 (one million two thousand forty-eight) is an even 7-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 17 × 307. Its proper divisors sum to 1,814,304, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A40.

Abundant Number Arithmetic Number Evil Number Practical Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,002,036 1,002,037 1,002,038 1,002,039 1,002,040 1,002,041 1,002,042 1,002,043 1,002,044 1,002,045 1,002,046 1,002,047 1,002,048 1,002,049 1,002,050 1,002,051 1,002,052 1,002,053 1,002,054 1,002,055 1,002,056 1,002,057 1,002,058 1,002,059 1,002,060

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 8,402,001
Square (n²): 1,004,100,194,304
Cube (n³): 1,006,156,591,501,934,592
Divisor count: 56
σ(n) — sum of divisors: 2,816,352
φ(n) — Euler's totient: 313,344
Sum of prime factors: 339

Primality

Prime factorization: 2 ⁶ × 3 × 17 × 307

Nearest primes: 1,002,017 (−31) · 1,002,049 (+1)

Divisors & multiples

All divisors (56)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 17 · 24 · 32 · 34 · 48 · 51 · 64 · 68 · 96 · 102 · 136 · 192 · 204 · 272 · 307 · 408 · 544 · 614 · 816 · 921 · 1088 · 1228 · 1632 · 1842 · 2456 · 3264 · 3684 · 4912 · 5219 · 7368 · 9824 · 10438 · 14736 · 15657 · 19648 · 20876 · 29472 · 31314 · 41752 · 58944 · 62628 · 83504 · 125256 · 167008 · 250512 · 334016 · 501024 (half) · 1002048

Aliquot sum (sum of proper divisors): 1,814,304

Factor pairs (a × b = 1,002,048)

1 × 1002048

2 × 501024

3 × 334016

4 × 250512

6 × 167008

8 × 125256

12 × 83504

16 × 62628

17 × 58944

24 × 41752

32 × 31314

34 × 29472

48 × 20876

51 × 19648

64 × 15657

68 × 14736

96 × 10438

102 × 9824

136 × 7368

192 × 5219

204 × 4912

272 × 3684

307 × 3264

408 × 2456

544 × 1842

614 × 1632

816 × 1228

921 × 1088

First multiples

1,002,048 · 2,004,096 (double) · 3,006,144 · 4,008,192 · 5,010,240 · 6,012,288 · 7,014,336 · 8,016,384 · 9,018,432 · 10,020,480

Sums & aliquot sequence

As consecutive integers: 334,015 + 334,016 + 334,017 58,936 + 58,937 + … + 58,952 19,623 + 19,624 + … + 19,673 7,765 + 7,766 + … + 7,892

Aliquot sequence: 1,002,048 → 1,814,304 → 2,948,496 → 5,354,544 → 9,543,808 → 9,469,502 → 6,823,330 → 5,458,682 → 3,250,438 → 1,763,066 → 881,536 → 917,744 → 905,056 → 876,836 → 666,076 → 513,284 → 384,970 — unresolved within range

Continued fraction of √n

√1,002,048 = [1001; (42, 1, 1, 2, 10, 3, 1, 499, 1, 3, 10, 2, 1, 1, 42, 2002)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words: one million two thousand forty-eight
Ordinal: 1002048th
Binary: 11110100101001000000
Octal: 3645100
Hexadecimal: 0xF4A40
Base64: D0pA
One's complement: 4,293,965,247 (32-bit)
Scientific notation: 1.002048 × 10⁶
As a duration: 1,002,048 s = 11 days, 14 hours, 20 minutes, 48 seconds

In other bases

ternary (3) 1212220112220

quaternary (4) 3310221000

quinary (5) 224031143

senary (6) 33251040

septenary (7) 11342265

nonary (9) 1786486

undecimal (11) 624943

duodecimal (12) 403a80

tridecimal (13) 291138

tetradecimal (14) 1c126c

pentadecimal (15) 14bd83

As an angle

1,002,048° = 2,783 × 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 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千零四十八
Chinese (financial): 壹佰萬貳仟零肆拾捌

In other modern scripts

Eastern Arabic ١٠٠٢٠٤٨ Devanagari १००२०४८ Bengali ১০০২০৪৮ Tamil ௧௦௦௨௦௪௮ Thai ๑๐๐๒๐๔๘ Tibetan ༡༠༠༢༠༤༨ Khmer ១០០២០៤៨ Lao ໑໐໐໒໐໔໘ Burmese ၁၀၀၂၀၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002048, here are decompositions:

31 + 1002017 = 1002048
59 + 1001989 = 1002048
67 + 1001981 = 1002048
71 + 1001977 = 1002048
101 + 1001947 = 1002048
107 + 1001941 = 1002048
137 + 1001911 = 1002048
227 + 1001821 = 1002048

Showing the first eight; more decompositions exist.

Hex color

#0F4A40

RGB(15, 74, 64)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.64.

Address: 0.15.74.64
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.64

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 1,002,048 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 US1,002,048 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1002048 first appears in π at position 732,495 of the decimal expansion (the 732,495ordinal-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 1002048 on Pi Search ↗