Live analysis

1,013,448

1,013,448 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.).

1,013,448 (one million thirteen thousand four hundred forty-eight) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 42,227. Its proper divisors sum to 1,520,232, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF76C8.

Abundant Number Arithmetic Number Evil Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,013,436 1,013,437 1,013,438 1,013,439 1,013,440 1,013,441 1,013,442 1,013,443 1,013,444 1,013,445 1,013,446 1,013,447 1,013,448 1,013,449 1,013,450 1,013,451 1,013,452 1,013,453 1,013,454 1,013,455 1,013,456 1,013,457 1,013,458 1,013,459 1,013,460

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 20 bits
Reversed: 8,443,101
Square (n²): 1,027,076,848,704
Cube (n³): 1,040,888,978,165,371,392
Divisor count: 16
σ(n) — sum of divisors: 2,533,680
φ(n) — Euler's totient: 337,808
Sum of prime factors: 42,236

Primality

Prime factorization: 2 ³ × 3 × 42227

Nearest primes: 1,013,431 (−17) · 1,013,471 (+23)

Divisors & multiples

All divisors (16)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 42227 · 84454 · 126681 · 168908 · 253362 · 337816 · 506724 (half) · 1013448

Aliquot sum (sum of proper divisors): 1,520,232

Factor pairs (a × b = 1,013,448)

1 × 1013448

2 × 506724

3 × 337816

4 × 253362

6 × 168908

8 × 126681

12 × 84454

24 × 42227

First multiples

1,013,448 · 2,026,896 (double) · 3,040,344 · 4,053,792 · 5,067,240 · 6,080,688 · 7,094,136 · 8,107,584 · 9,121,032 · 10,134,480

Sums & aliquot sequence

As consecutive integers: 337,815 + 337,816 + 337,817 63,333 + 63,334 + … + 63,348 21,090 + 21,091 + … + 21,137

Aliquot sequence: 1,013,448 → 1,520,232 → 2,823,768 → 5,492,232 → 10,117,368 → 17,630,352 → 34,390,128 → 55,711,248 → 88,871,760 → 209,591,652 → 279,455,564 → 209,591,680 → 317,854,400 → 464,270,020 → 522,441,020 → 574,685,164 → 431,013,880 — unresolved within range

Continued fraction of √n

√1,013,448 = [1006; (1, 2, 2, 1, 5, 1, 3, 2, 2, 1, 3, 1, 2, 1, 11, 1, 1, 5, 1, 1, 1, 1, 1, 1, …)]

Representations

In words: one million thirteen thousand four hundred forty-eight
Ordinal: 1013448th
Binary: 11110111011011001000
Octal: 3673310
Hexadecimal: 0xF76C8
Base64: D3bI
One's complement: 4,293,953,847 (32-bit)
Scientific notation: 1.013448 × 10⁶
As a duration: 1,013,448 s = 11 days, 17 hours, 30 minutes, 48 seconds

In other bases

ternary (3) 1220111012010

quaternary (4) 3313123020

quinary (5) 224412243

senary (6) 33415520

septenary (7) 11420442

nonary (9) 1814163

undecimal (11) 632467

duodecimal (12) 40a5a0

tridecimal (13) 296397

tetradecimal (14) 1c5492

pentadecimal (15) 150433

As an angle

1,013,448° = 2,815 × 360° + 48°

48° ≈ 0.838 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千四百四十八
Chinese (financial): 壹佰零壹萬參仟肆佰肆拾捌

In other modern scripts

Eastern Arabic ١٠١٣٤٤٨ Devanagari १०१३४४८ Bengali ১০১৩৪৪৮ Tamil ௧௦௧௩௪௪௮ Thai ๑๐๑๓๔๔๘ Tibetan ༡༠༡༣༤༤༨ Khmer ១០១៣៤៤៨ Lao ໑໐໑໓໔໔໘ Burmese ၁၀၁၃၄၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013448, here are decompositions:

17 + 1013431 = 1013448
19 + 1013429 = 1013448
47 + 1013401 = 1013448
71 + 1013377 = 1013448
127 + 1013321 = 1013448
157 + 1013291 = 1013448
181 + 1013267 = 1013448
199 + 1013249 = 1013448

Showing the first eight; more decompositions exist.

Hex color

#0F76C8

RGB(15, 118, 200)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.200.

Address: 0.15.118.200
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.200

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3448 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3448-10-01 (MMDYYYY (US, single-digit day))
3448-01-10 (DDMYYYY (Euro, single-digit month))

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 1,013,448 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 US1,013,448 on Google Patents ↗ Look up on USPTO ↗