Live analysis

1,013,408

1,013,408 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.).

1,013,408 (one million thirteen thousand four hundred eight) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 11 × 2,879. Its proper divisors sum to 1,163,872, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF76A0.

Abundant Number Arithmetic Number Happy Number Odious Number Pernicious Number Semiperfect Number

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,013,396 1,013,397 1,013,398 1,013,399 1,013,400 1,013,401 1,013,402 1,013,403 1,013,404 1,013,405 1,013,406 1,013,407 1,013,408 1,013,409 1,013,410 1,013,411 1,013,412 1,013,413 1,013,414 1,013,415 1,013,416 1,013,417 1,013,418 1,013,419 1,013,420

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 17
Digit product: 0
Digital root: 8
Palindrome: No
Bit width: 20 bits
Reversed: 8,043,101
Square (n²): 1,026,995,774,464
Cube (n³): 1,040,765,733,808,013,312
Divisor count: 24
σ(n) — sum of divisors: 2,177,280
φ(n) — Euler's totient: 460,480
Sum of prime factors: 2,900

Primality

Prime factorization: 2 ⁵ × 11 × 2879

Nearest primes: 1,013,401 (−7) · 1,013,429 (+21)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 8 · 11 · 16 · 22 · 32 · 44 · 88 · 176 · 352 · 2879 · 5758 · 11516 · 23032 · 31669 · 46064 · 63338 · 92128 · 126676 · 253352 · 506704 (half) · 1013408

Aliquot sum (sum of proper divisors): 1,163,872

Factor pairs (a × b = 1,013,408)

1 × 1013408

2 × 506704

4 × 253352

8 × 126676

11 × 92128

16 × 63338

22 × 46064

32 × 31669

44 × 23032

88 × 11516

176 × 5758

352 × 2879

First multiples

1,013,408 · 2,026,816 (double) · 3,040,224 · 4,053,632 · 5,067,040 · 6,080,448 · 7,093,856 · 8,107,264 · 9,120,672 · 10,134,080

Sums & aliquot sequence

As consecutive integers: 92,123 + 92,124 + … + 92,133 15,803 + 15,804 + … + 15,866 1,088 + 1,089 + … + 1,791

Aliquot sequence: 1,013,408 → 1,163,872 → 1,191,824 → 1,117,366 → 558,686 → 285,874 → 165,566 → 95,914 → 97,622 → 79,018 → 39,512 → 41,488 → 38,926 → 19,466 → 9,736 → 8,534 → 5,074 — unresolved within range

Continued fraction of √n

√1,013,408 = [1006; (1, 2, 7, 14, 1, 1, 3, 1, 2, 5, 2, 1, 3, 1, 1, 14, 7, 2, 1, 2012)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand four hundred eight
Ordinal: 1013408th
Binary: 11110111011010100000
Octal: 3673240
Hexadecimal: 0xF76A0
Base64: D3ag
One's complement: 4,293,953,887 (32-bit)
Scientific notation: 1.013408 × 10⁶
As a duration: 1,013,408 s = 11 days, 17 hours, 30 minutes, 8 seconds

In other bases

ternary (3) 1220111010122

quaternary (4) 3313122200

quinary (5) 224412113

senary (6) 33415412

septenary (7) 11420354

nonary (9) 1814118

undecimal (11) 632430

duodecimal (12) 40a568

tridecimal (13) 296366

tetradecimal (14) 1c5464

pentadecimal (15) 150408

As an angle

1,013,408° = 2,815 × 360° + 8°

8° ≈ 0.14 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千四百零八
Chinese (financial): 壹佰零壹萬參仟肆佰零捌

In other modern scripts

Eastern Arabic ١٠١٣٤٠٨ Devanagari १०१३४०८ Bengali ১০১৩৪০৮ Tamil ௧௦௧௩௪௦௮ Thai ๑๐๑๓๔๐๘ Tibetan ༡༠༡༣༤༠༨ Khmer ១០១៣៤០៨ Lao ໑໐໑໓໔໐໘ Burmese ၁၀၁၃၄၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013408, here are decompositions:

7 + 1013401 = 1013408
31 + 1013377 = 1013408
79 + 1013329 = 1013408
181 + 1013227 = 1013408
211 + 1013197 = 1013408
367 + 1013041 = 1013408
379 + 1013029 = 1013408
547 + 1012861 = 1013408

Showing the first eight; more decompositions exist.

Hex color

#0F76A0

RGB(15, 118, 160)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.160.

Address: 0.15.118.160
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.160

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

Possible date

Could be parsed as a date. Most likely interpretation: Friday, January 1, 3408 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3408-10-01 (MMDYYYY (US, single-digit day))
3408-01-10 (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 1,013,408 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 US1,013,408 on Google Patents ↗ Look up on USPTO ↗