Live analysis

1,001,248

1,001,248 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.).

1,001,248 (one million one thousand two hundred forty-eight) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 67 × 467. Its proper divisors sum to 1,003,664, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4720.

Abundant Number Arithmetic Number Happy Number Harshad / Niven Odious Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,001,236 1,001,237 1,001,238 1,001,239 1,001,240 1,001,241 1,001,242 1,001,243 1,001,244 1,001,245 1,001,246 1,001,247 1,001,248 1,001,249 1,001,250 1,001,251 1,001,252 1,001,253 1,001,254 1,001,255 1,001,256 1,001,257 1,001,258 1,001,259 1,001,260

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Properties

Parity: Even
Digit count: 7
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 8,421,001
Square (n²): 1,002,497,557,504
Cube (n³): 1,003,748,674,455,764,992
Divisor count: 24
σ(n) — sum of divisors: 2,004,912
φ(n) — Euler's totient: 492,096
Sum of prime factors: 544

Primality

Prime factorization: 2 ⁵ × 67 × 467

Nearest primes: 1,001,237 (−11) · 1,001,267 (+19)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 8 · 16 · 32 · 67 · 134 · 268 · 467 · 536 · 934 · 1072 · 1868 · 2144 · 3736 · 7472 · 14944 · 31289 · 62578 · 125156 · 250312 · 500624 (half) · 1001248

Aliquot sum (sum of proper divisors): 1,003,664

Factor pairs (a × b = 1,001,248)

1 × 1001248

2 × 500624

4 × 250312

8 × 125156

16 × 62578

32 × 31289

67 × 14944

134 × 7472

268 × 3736

467 × 2144

536 × 1868

934 × 1072

First multiples

1,001,248 · 2,002,496 (double) · 3,003,744 · 4,004,992 · 5,006,240 · 6,007,488 · 7,008,736 · 8,009,984 · 9,011,232 · 10,012,480

Sums & aliquot sequence

As consecutive integers: 15,613 + 15,614 + … + 15,676 14,911 + 14,912 + … + 14,977 1,911 + 1,912 + … + 2,377

Aliquot sequence: 1,001,248 → 1,003,664 → 958,636 → 1,049,132 → 1,077,748 → 1,116,556 → 1,116,612 → 2,266,908 → 3,778,404 → 6,629,532 → 12,554,724 → 23,503,004 → 25,606,756 → 28,870,044 → 52,173,156 → 90,358,044 → 150,596,964 — unresolved within range

Continued fraction of √n

√1,001,248 = [1000; (1, 1, 1, 1, 1, 12, 2, 5, 15, 1, 22, 15, 2, 7, 1, 4, 1, 1, 3, 1, 24, 1, 1, 4, …)]

Representations

In words: one million one thousand two hundred forty-eight
Ordinal: 1001248th
Binary: 11110100011100100000
Octal: 3643440
Hexadecimal: 0xF4720
Base64: D0cg
One's complement: 4,293,966,047 (32-bit)
Scientific notation: 1.001248 × 10⁶
As a duration: 1,001,248 s = 11 days, 14 hours, 7 minutes, 28 seconds

In other bases

ternary (3) 1212212110021

quaternary (4) 3310130200

quinary (5) 224014443

senary (6) 33243224

septenary (7) 11340043

nonary (9) 1785407

undecimal (11) 624286

duodecimal (12) 403514

tridecimal (13) 290971

tetradecimal (14) 1c0c5a

pentadecimal (15) 14b9ed

As an angle

1,001,248° = 2,781 × 360° + 88°

88° ≈ 1.536 rad

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬一千二百四十八
Chinese (financial): 壹佰萬壹仟貳佰肆拾捌

In other modern scripts

Eastern Arabic ١٠٠١٢٤٨ Devanagari १००१२४८ Bengali ১০০১২৪৮ Tamil ௧௦௦௧௨௪௮ Thai ๑๐๐๑๒๔๘ Tibetan ༡༠༠༡༢༤༨ Khmer ១០០១២៤៨ Lao ໑໐໐໑໒໔໘ Burmese ၁၀၀၁၂၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1001248, here are decompositions:

11 + 1001237 = 1001248
29 + 1001219 = 1001248
71 + 1001177 = 1001248
89 + 1001159 = 1001248
167 + 1001081 = 1001248
179 + 1001069 = 1001248
317 + 1000931 = 1001248
359 + 1000889 = 1001248

Showing the first eight; more decompositions exist.

Hex color

#0F4720

RGB(15, 71, 32)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.71.32.

Address: 0.15.71.32
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.71.32

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 1,001,248 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 US1,001,248 on Google Patents ↗ Look up on USPTO ↗