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1,038,601

1,038,601 is a prime, odd.

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.).

1,038,601 (one million thirty-eight thousand six hundred one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xFD909.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
1,068,301
Square (n²)
1,078,692,037,201
Cube (n³)
1,120,330,628,528,995,801
Divisor count
2
σ(n) — sum of divisors
1,038,602
φ(n) — Euler's totient
1,038,600

Primality

1,038,601 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1038601
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,038,601)
1 × 1038601
First multiples
1,038,601 · 2,077,202 (double) · 3,115,803 · 4,154,404 · 5,193,005 · 6,231,606 · 7,270,207 · 8,308,808 · 9,347,409 · 10,386,010

Sums & aliquot sequence

As a sum of two squares: 480² + 899²
As consecutive integers: 519,300 + 519,301

Continued fraction of √n

√1,038,601 = [1019; (8, 2, 31, 2, 1, 1, 1, 7, 1, 6, 1, 1, 8, 1, 1, 9, 1, 1, 18, 1, 7, 1, 5, 8, …)]

Representations

In words
one million thirty-eight thousand six hundred one
Ordinal
1038601st
Binary
11111101100100001001
Octal
3754411
Hexadecimal
0xFD909
Base64
D9kJ
One's complement
4,293,928,694 (32-bit)
Scientific notation
1.038601 × 10⁶
As a duration
1,038,601 s = 12 days, 30 minutes, 1 second
In other bases
ternary (3) 1221202200201
quaternary (4) 3331210021
quinary (5) 231213401
senary (6) 34132201
septenary (7) 11553664
nonary (9) 1852621
undecimal (11) 64a353
duodecimal (12) 421061
tridecimal (13) 2a4975
tetradecimal (14) 1d06db
pentadecimal (15) 157b01

As an angle

1,038,601° = 2,885 × 360° + 1°
1° ≈ 0.017 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺
Chinese
一百零三萬八千六百零一
Chinese (financial)
壹佰零參萬捌仟陸佰零壹
In other modern scripts
Eastern Arabic ١٠٣٨٦٠١ Devanagari १०३८६०१ Bengali ১০৩৮৬০১ Tamil ௧௦௩௮௬௦௧ Thai ๑๐๓๘๖๐๑ Tibetan ༡༠༣༨༦༠༡ Khmer ១០៣៨៦០១ Lao ໑໐໓໘໖໐໑ Burmese ၁၀၃၈၆၀၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1038599.

Hex color
#0FD909
RGB(15, 217, 9)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.217.9.

Address
0.15.217.9
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.217.9

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 3, 8601 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 8601-03-01 (DMMYYYY (Euro, single-digit day))
  • 8601-10-03 (MMDYYYY (US, single-digit day))
  • 8601-03-10 (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 1,038,601 and was likely granted around 1912.

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

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.