Live analysis

1,013,488

1,013,488 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.).

1,013,488 (one million thirteen thousand four hundred eighty-eight) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 9,049. Its proper divisors sum to 1,230,912, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF76F0.

Abundant Number Arithmetic Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

2 notable facts · grade F

1,013,476 1,013,477 1,013,478 1,013,479 1,013,480 1,013,481 1,013,482 1,013,483 1,013,484 1,013,485 1,013,486 1,013,487 1,013,488 1,013,489 1,013,490 1,013,491 1,013,492 1,013,493 1,013,494 1,013,495 1,013,496 1,013,497 1,013,498 1,013,499 1,013,500

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 25
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 20 bits
Reversed: 8,843,101
Square (n²): 1,027,157,926,144
Cube (n³): 1,041,012,232,251,830,272
Divisor count: 20
σ(n) — sum of divisors: 2,244,400
φ(n) — Euler's totient: 434,304
Sum of prime factors: 9,064

Primality

Prime factorization: 2 ⁴ × 7 × 9049

Nearest primes: 1,013,477 (−11) · 1,013,501 (+13)

Divisors & multiples

All divisors (20)

1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 112 · 9049 · 18098 · 36196 · 63343 · 72392 · 126686 · 144784 · 253372 · 506744 (half) · 1013488

Aliquot sum (sum of proper divisors): 1,230,912

Factor pairs (a × b = 1,013,488)

1 × 1013488

2 × 506744

4 × 253372

7 × 144784

8 × 126686

14 × 72392

16 × 63343

28 × 36196

56 × 18098

112 × 9049

First multiples

1,013,488 · 2,026,976 (double) · 3,040,464 · 4,053,952 · 5,067,440 · 6,080,928 · 7,094,416 · 8,107,904 · 9,121,392 · 10,134,880

Sums & aliquot sequence

As consecutive integers: 144,781 + 144,782 + … + 144,787 31,656 + 31,657 + … + 31,687 4,413 + 4,414 + … + 4,636

Aliquot sequence: 1,013,488 → 1,230,912 → 2,298,926 → 1,642,114 → 821,060 → 934,036 → 700,534 → 414,314 → 239,926 → 119,966 → 121,954 → 94,622 → 77,746 → 38,876 → 29,164 → 24,260 → 26,728 — unresolved within range

Continued fraction of √n

√1,013,488 = [1006; (1, 2, 1, 1, 2, 3, 2, 2, 1, 1, 11, 2, 8, 4, 4, 1, 1, 14, 6, 1, 17, 1, 3, 1, …)]

Representations

In words: one million thirteen thousand four hundred eighty-eight
Ordinal: 1013488th
Binary: 11110111011011110000
Octal: 3673360
Hexadecimal: 0xF76F0
Base64: D3bw
One's complement: 4,293,953,807 (32-bit)
Scientific notation: 1.013488 × 10⁶
As a duration: 1,013,488 s = 11 days, 17 hours, 31 minutes, 28 seconds

In other bases

ternary (3) 1220111020121

quaternary (4) 3313123300

quinary (5) 224412423

senary (6) 33420024

septenary (7) 11420530

nonary (9) 1814217

undecimal (11) 6324a3

duodecimal (12) 40a614

tridecimal (13) 2963c8

tetradecimal (14) 1c54c0

pentadecimal (15) 15045d

As an angle

1,013,488° = 2,815 × 360° + 88°

88° ≈ 1.536 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千四百八十八
Chinese (financial): 壹佰零壹萬參仟肆佰捌拾捌

In other modern scripts

Eastern Arabic ١٠١٣٤٨٨ Devanagari १०१३४८८ Bengali ১০১৩৪৮৮ Tamil ௧௦௧௩௪௮௮ Thai ๑๐๑๓๔๘๘ Tibetan ༡༠༡༣༤༨༨ Khmer ១០១៣៤៨៨ Lao ໑໐໑໓໔໘໘ Burmese ၁၀၁၃၄၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013488, here are decompositions:

11 + 1013477 = 1013488
17 + 1013471 = 1013488
59 + 1013429 = 1013488
89 + 1013399 = 1013488
167 + 1013321 = 1013488
197 + 1013291 = 1013488
239 + 1013249 = 1013488
251 + 1013237 = 1013488

Showing the first eight; more decompositions exist.

Hex color

#0F76F0

RGB(15, 118, 240)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.240.

Address: 0.15.118.240
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.240

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 3488 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3488-10-01 (MMDYYYY (US, single-digit day))
3488-01-10 (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 1,013,488 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 US1,013,488 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1013488 first appears in π at position 67,731 of the decimal expansion (the 67,731ordinal-suffix:st 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 1013488 on Pi Search ↗