Live analysis

1,013,388

1,013,388 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.).

1,013,388 (one million thirteen thousand three hundred eighty-eight) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 84,449. Its proper divisors sum to 1,351,212, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF768C.

Abundant Number Arithmetic Number Cube-Free Evil Number Refactorable Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

1,013,376 1,013,377 1,013,378 1,013,379 1,013,380 1,013,381 1,013,382 1,013,383 1,013,384 1,013,385 1,013,386 1,013,387 1,013,388 1,013,389 1,013,390 1,013,391 1,013,392 1,013,393 1,013,394 1,013,395 1,013,396 1,013,397 1,013,398 1,013,399 1,013,400

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 8,833,101
Square (n²): 1,026,955,238,544
Cube (n³): 1,040,704,115,277,627,072
Divisor count: 12
σ(n) — sum of divisors: 2,364,600
φ(n) — Euler's totient: 337,792
Sum of prime factors: 84,456

Primality

Prime factorization: 2 ² × 3 × 84449

Nearest primes: 1,013,377 (−11) · 1,013,399 (+11)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 84449 · 168898 · 253347 · 337796 · 506694 (half) · 1013388

Aliquot sum (sum of proper divisors): 1,351,212

Factor pairs (a × b = 1,013,388)

1 × 1013388

2 × 506694

3 × 337796

4 × 253347

6 × 168898

12 × 84449

First multiples

1,013,388 · 2,026,776 (double) · 3,040,164 · 4,053,552 · 5,066,940 · 6,080,328 · 7,093,716 · 8,107,104 · 9,120,492 · 10,133,880

Sums & aliquot sequence

As consecutive integers: 337,795 + 337,796 + 337,797 126,670 + 126,671 + … + 126,677 42,213 + 42,214 + … + 42,236

Aliquot sequence: 1,013,388 → 1,351,212 → 1,801,644 → 2,725,956 → 4,164,746 → 2,103,034 → 1,217,606 → 749,338 → 374,672 → 351,286 → 228,314 → 114,160 → 151,448 → 158,512 → 148,636 → 111,484 → 88,100 — unresolved within range

Continued fraction of √n

√1,013,388 = [1006; (1, 2, 21, 1, 1, 4, 2, 2, 1, 3, 10, 2, 3, 1, 1, 1, 5, 1, 1, 2, 5, 1, 2, 27, …)]

Representations

In words: one million thirteen thousand three hundred eighty-eight
Ordinal: 1013388th
Binary: 11110111011010001100
Octal: 3673214
Hexadecimal: 0xF768C
Base64: D3aM
One's complement: 4,293,953,907 (32-bit)
Scientific notation: 1.013388 × 10⁶
As a duration: 1,013,388 s = 11 days, 17 hours, 29 minutes, 48 seconds

In other bases

ternary (3) 1220111002220

quaternary (4) 3313122030

quinary (5) 224412023

senary (6) 33415340

septenary (7) 11420325

nonary (9) 1814086

undecimal (11) 632412

duodecimal (12) 40a550

tridecimal (13) 29634c

tetradecimal (14) 1c544c

pentadecimal (15) 1503e3

As an angle

1,013,388° = 2,814 × 360° + 348°

348° ≈ 6.074 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千三百八十八
Chinese (financial): 壹佰零壹萬參仟參佰捌拾捌

In other modern scripts

Eastern Arabic ١٠١٣٣٨٨ Devanagari १०१३३८८ Bengali ১০১৩৩৮৮ Tamil ௧௦௧௩௩௮௮ Thai ๑๐๑๓๓๘๘ Tibetan ༡༠༡༣༣༨༨ Khmer ១០១៣៣៨៨ Lao ໑໐໑໓໓໘໘ Burmese ၁၀၁၃၃၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013388, here are decompositions:

11 + 1013377 = 1013388
59 + 1013329 = 1013388
67 + 1013321 = 1013388
97 + 1013291 = 1013388
109 + 1013279 = 1013388
139 + 1013249 = 1013388
149 + 1013239 = 1013388
151 + 1013237 = 1013388

Showing the first eight; more decompositions exist.

Hex color

#0F768C

RGB(15, 118, 140)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.140.

Address: 0.15.118.140
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.140

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 1, 3388 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3388-10-01 (MMDYYYY (US, single-digit day))
3388-01-10 (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 1,013,388 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 US1,013,388 on Google Patents ↗ Look up on USPTO ↗