Live analysis

1,013,684

1,013,684 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.).

1,013,684 (one million thirteen thousand six hundred eighty-four) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 41 × 883. Its proper divisors sum to 1,065,484, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF77B4.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,672 1,013,673 1,013,674 1,013,675 1,013,676 1,013,677 1,013,678 1,013,679 1,013,680 1,013,681 1,013,682 1,013,683 1,013,684 1,013,685 1,013,686 1,013,687 1,013,688 1,013,689 1,013,690 1,013,691 1,013,692 1,013,693 1,013,694 1,013,695 1,013,696

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 23
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 20 bits
Reversed: 4,863,101
Square (n²): 1,027,555,251,856
Cube (n³): 1,041,616,317,922,397,504
Divisor count: 24
σ(n) — sum of divisors: 2,079,168
φ(n) — Euler's totient: 423,360
Sum of prime factors: 935

Primality

Prime factorization: 2 ² × 7 × 41 × 883

Nearest primes: 1,013,681 (−3) · 1,013,687 (+3)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 7 · 14 · 28 · 41 · 82 · 164 · 287 · 574 · 883 · 1148 · 1766 · 3532 · 6181 · 12362 · 24724 · 36203 · 72406 · 144812 · 253421 · 506842 (half) · 1013684

Aliquot sum (sum of proper divisors): 1,065,484

Factor pairs (a × b = 1,013,684)

1 × 1013684

2 × 506842

4 × 253421

7 × 144812

14 × 72406

28 × 36203

41 × 24724

82 × 12362

164 × 6181

287 × 3532

574 × 1766

883 × 1148

First multiples

1,013,684 · 2,027,368 (double) · 3,041,052 · 4,054,736 · 5,068,420 · 6,082,104 · 7,095,788 · 8,109,472 · 9,123,156 · 10,136,840

Sums & aliquot sequence

As consecutive integers: 144,809 + 144,810 + … + 144,815 126,707 + 126,708 + … + 126,714 24,704 + 24,705 + … + 24,744 18,074 + 18,075 + … + 18,129

Aliquot sequence: 1,013,684 → 1,065,484 → 1,065,540 → 2,482,620 → 5,839,428 → 10,012,044 → 16,686,964 → 16,687,020 → 37,599,828 → 62,666,604 → 160,415,892 → 360,599,148 → 790,061,972 → 790,062,028 → 877,752,372 → 1,481,379,788 → 1,531,599,412 — unresolved within range

Continued fraction of √n

√1,013,684 = [1006; (1, 4, 1, 1, 13, 1, 15, 1, 99, 1, 2, 1, 6, 6, 1, 4, 1, 1, 6, 80, 2, 1, 1, 4, …)]

Representations

In words: one million thirteen thousand six hundred eighty-four
Ordinal: 1013684th
Binary: 11110111011110110100
Octal: 3673664
Hexadecimal: 0xF77B4
Base64: D3e0
One's complement: 4,293,953,611 (32-bit)
Scientific notation: 1.013684 × 10⁶
As a duration: 1,013,684 s = 11 days, 17 hours, 34 minutes, 44 seconds

In other bases

ternary (3) 1220111111212

quaternary (4) 3313132310

quinary (5) 224414214

senary (6) 33420552

septenary (7) 11421230

nonary (9) 1814455

undecimal (11) 632661

duodecimal (12) 40a758

tridecimal (13) 296519

tetradecimal (14) 1c55c0

pentadecimal (15) 15053e

As an angle

1,013,684° = 2,815 × 360° + 284°

284° ≈ 4.957 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千六百八十四
Chinese (financial): 壹佰零壹萬參仟陸佰捌拾肆

In other modern scripts

Eastern Arabic ١٠١٣٦٨٤ Devanagari १०१३६८४ Bengali ১০১৩৬৮৪ Tamil ௧௦௧௩௬௮௪ Thai ๑๐๑๓๖๘๔ Tibetan ༡༠༡༣༦༨༤ Khmer ១០១៣៦៨៤ Lao ໑໐໑໓໖໘໔ Burmese ၁၀၁၃၆၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013684, here are decompositions:

3 + 1013681 = 1013684
13 + 1013671 = 1013684
43 + 1013641 = 1013684
103 + 1013581 = 1013684
151 + 1013533 = 1013684
157 + 1013527 = 1013684
181 + 1013503 = 1013684
283 + 1013401 = 1013684

Showing the first eight; more decompositions exist.

Hex color

#0F77B4

RGB(15, 119, 180)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.180.

Address: 0.15.119.180
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.119.180

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3684 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3684-10-01 (MMDYYYY (US, single-digit day))
3684-01-10 (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 1,013,684 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 US1,013,684 on Google Patents ↗ Look up on USPTO ↗