Live analysis

1,000,248

1,000,248 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.).

1,000,248 (one million two hundred forty-eight) is an even 7-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 71 × 587. Its proper divisors sum to 1,539,912, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4338.

Abundant Number Arithmetic Number Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,000,236 1,000,237 1,000,238 1,000,239 1,000,240 1,000,241 1,000,242 1,000,243 1,000,244 1,000,245 1,000,246 1,000,247 1,000,248 1,000,249 1,000,250 1,000,251 1,000,252 1,000,253 1,000,254 1,000,255 1,000,256 1,000,257 1,000,258 1,000,259 1,000,260

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 8,420,001
Square (n²): 1,000,496,061,504
Cube (n³): 1,000,744,184,527,252,992
Divisor count: 32
σ(n) — sum of divisors: 2,540,160
φ(n) — Euler's totient: 328,160
Sum of prime factors: 667

Primality

Prime factorization: 2 ³ × 3 × 71 × 587

Nearest primes: 1,000,231 (−17) · 1,000,249 (+1)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 71 · 142 · 213 · 284 · 426 · 568 · 587 · 852 · 1174 · 1704 · 1761 · 2348 · 3522 · 4696 · 7044 · 14088 · 41677 · 83354 · 125031 · 166708 · 250062 · 333416 · 500124 (half) · 1000248

Aliquot sum (sum of proper divisors): 1,539,912

Factor pairs (a × b = 1,000,248)

1 × 1000248

2 × 500124

3 × 333416

4 × 250062

6 × 166708

8 × 125031

12 × 83354

24 × 41677

71 × 14088

142 × 7044

213 × 4696

284 × 3522

426 × 2348

568 × 1761

587 × 1704

852 × 1174

First multiples

1,000,248 · 2,000,496 (double) · 3,000,744 · 4,000,992 · 5,001,240 · 6,001,488 · 7,001,736 · 8,001,984 · 9,002,232 · 10,002,480

Sums & aliquot sequence

As consecutive integers: 333,415 + 333,416 + 333,417 62,508 + 62,509 + … + 62,523 20,815 + 20,816 + … + 20,862 14,053 + 14,054 + … + 14,123

Aliquot sequence: 1,000,248 → 1,539,912 → 2,895,288 → 5,068,752 → 9,034,512 → 14,940,144 → 29,599,416 → 75,981,384 → 130,874,616 → 238,586,784 → 387,703,776 → 630,018,888 → 945,028,392 → 2,022,893,208 → 4,297,128,552 → 7,340,928,138 → 8,564,416,200 — unresolved within range

Continued fraction of √n

√1,000,248 = [1000; (8, 15, 2, 1, 1, 1, 2, 15, 8, 2000)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words: one million two hundred forty-eight
Ordinal: 1000248th
Binary: 11110100001100111000
Octal: 3641470
Hexadecimal: 0xF4338
Base64: D0M4
One's complement: 4,293,967,047 (32-bit)
Scientific notation: 1.000248 × 10⁶
As a duration: 1,000,248 s = 11 days, 13 hours, 50 minutes, 48 seconds

In other bases

ternary (3) 1212211002020

quaternary (4) 3310030320

quinary (5) 224001443

senary (6) 33234440

septenary (7) 11334114

nonary (9) 1784066

undecimal (11) 623557

duodecimal (12) 402a20

tridecimal (13) 290382

tetradecimal (14) 1c0744

pentadecimal (15) 14b583

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬零二百四十八
Chinese (financial): 壹佰萬零貳佰肆拾捌

In other modern scripts

Eastern Arabic ١٠٠٠٢٤٨ Devanagari १०००२४८ Bengali ১০০০২৪৮ Tamil ௧௦௦௦௨௪௮ Thai ๑๐๐๐๒๔๘ Tibetan ༡༠༠༠༢༤༨ Khmer ១០០០២៤៨ Lao ໑໐໐໐໒໔໘ Burmese ၁၀၀၀၂၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000248, here are decompositions:

17 + 1000231 = 1000248
37 + 1000211 = 1000248
61 + 1000187 = 1000248
89 + 1000159 = 1000248
97 + 1000151 = 1000248
127 + 1000121 = 1000248
131 + 1000117 = 1000248
149 + 1000099 = 1000248

Showing the first eight; more decompositions exist.

Hex color

#0F4338

RGB(15, 67, 56)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.67.56.

Address: 0.15.67.56
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.67.56

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 1,000,248 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 US1,000,248 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1000248 first appears in π at position 258,127 of the decimal expansion (the 258,127ordinal-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 1000248 on Pi Search ↗