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1,013,438

1,013,438 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.).

1,013,438 (one million thirteen thousand four hundred thirty-eight) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2 × 17 × 41 × 727. Written other ways, in hexadecimal, 0xF76BE.

Arithmetic Number Cube-Free Deficient Number Happy Number Odious Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
20 bits
Reversed
8,343,101
Square (n²)
1,027,056,579,844
Cube (n³)
1,040,858,166,163,943,672
Divisor count
16
σ(n) — sum of divisors
1,651,104
φ(n) — Euler's totient
464,640
Sum of prime factors
787

Primality

Prime factorization: 2 × 17 × 41 × 727

Nearest primes: 1,013,431 (−7) · 1,013,471 (+33)

Divisors & multiples

All divisors (16)
1 · 2 · 17 · 34 · 41 · 82 · 697 · 727 · 1394 · 1454 · 12359 · 24718 · 29807 · 59614 · 506719 (half) · 1013438
Aliquot sum (sum of proper divisors): 637,666
Factor pairs (a × b = 1,013,438)
1 × 1013438
2 × 506719
17 × 59614
34 × 29807
41 × 24718
82 × 12359
697 × 1454
727 × 1394
First multiples
1,013,438 · 2,026,876 (double) · 3,040,314 · 4,053,752 · 5,067,190 · 6,080,628 · 7,094,066 · 8,107,504 · 9,120,942 · 10,134,380

Sums & aliquot sequence

As consecutive integers: 253,358 + 253,359 + 253,360 + 253,361 59,606 + 59,607 + … + 59,622 24,698 + 24,699 + … + 24,738 14,870 + 14,871 + … + 14,937
Aliquot sequence: 1,013,438 637,666 318,836 333,004 345,296 419,536 456,276 632,364 843,180 1,866,324 2,810,796 4,174,644 5,566,220 7,185,988 6,008,732 4,506,556 3,572,564 — unresolved within range

Continued fraction of √n

√1,013,438 = [1006; (1, 2, 3, 2, 1, 1, 1, 1, 1, 4, 1, 22, 1, 1, 2, 3, 2, 2, 4, 1, 3, 3, 1, 5, …)]

Representations

In words
one million thirteen thousand four hundred thirty-eight
Ordinal
1013438th
Binary
11110111011010111110
Octal
3673276
Hexadecimal
0xF76BE
Base64
D3a+
One's complement
4,293,953,857 (32-bit)
Scientific notation
1.013438 × 10⁶
As a duration
1,013,438 s = 11 days, 17 hours, 30 minutes, 38 seconds
In other bases
ternary (3) 1220111011202
quaternary (4) 3313122332
quinary (5) 224412223
senary (6) 33415502
septenary (7) 11420426
nonary (9) 1814152
undecimal (11) 632458
duodecimal (12) 40a592
tridecimal (13) 29638a
tetradecimal (14) 1c5486
pentadecimal (15) 150428

As an angle

1,013,438° = 2,815 × 360° + 38°
38° ≈ 0.663 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬三千四百三十八
Chinese (financial)
壹佰零壹萬參仟肆佰參拾捌
In other modern scripts
Eastern Arabic ١٠١٣٤٣٨ Devanagari १०१३४३८ Bengali ১০১৩৪৩৮ Tamil ௧௦௧௩௪௩௮ Thai ๑๐๑๓๔๓๘ Tibetan ༡༠༡༣༤༣༨ Khmer ១០១៣៤៣៨ Lao ໑໐໑໓໔໓໘ Burmese ၁၀၁၃၄၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013438, here are decompositions:

  • 7 + 1013431 = 1013438
  • 37 + 1013401 = 1013438
  • 61 + 1013377 = 1013438
  • 109 + 1013329 = 1013438
  • 199 + 1013239 = 1013438
  • 211 + 1013227 = 1013438
  • 241 + 1013197 = 1013438
  • 397 + 1013041 = 1013438

Showing the first eight; more decompositions exist.

Hex color
#0F76BE
RGB(15, 118, 190)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.190.

Address
0.15.118.190
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.118.190

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3438 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3438-10-01 (MMDYYYY (US, single-digit day))
  • 3438-01-10 (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 1,013,438 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.