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1,013,313

1,013,313 is a composite number, 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.).

1,013,313 (one million thirteen thousand three hundred thirteen) is an odd 7-digit number. It is a composite number with 16 divisors, and factors as 3 × 7 × 73 × 661. Written other ways, in hexadecimal, 0xF7641.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
3,133,101
Square (n²)
1,026,803,235,969
Cube (n³)
1,040,473,067,449,455,297
Divisor count
16
σ(n) — sum of divisors
1,567,616
φ(n) — Euler's totient
570,240
Sum of prime factors
744

Primality

Prime factorization: 3 × 7 × 73 × 661

Nearest primes: 1,013,291 (−22) · 1,013,321 (+8)

Divisors & multiples

All divisors (16)
1 · 3 · 7 · 21 · 73 · 219 · 511 · 661 · 1533 · 1983 · 4627 · 13881 · 48253 · 144759 · 337771 · 1013313
Aliquot sum (sum of proper divisors): 554,303
Factor pairs (a × b = 1,013,313)
1 × 1013313
3 × 337771
7 × 144759
21 × 48253
73 × 13881
219 × 4627
511 × 1983
661 × 1533
First multiples
1,013,313 · 2,026,626 (double) · 3,039,939 · 4,053,252 · 5,066,565 · 6,079,878 · 7,093,191 · 8,106,504 · 9,119,817 · 10,133,130

Sums & aliquot sequence

As consecutive integers: 506,656 + 506,657 337,770 + 337,771 + 337,772 168,883 + 168,884 + 168,885 + 168,886 + 168,887 + 168,888 144,756 + 144,757 + … + 144,762
Aliquot sequence: 1,013,313 554,303 1 0 — terminates at zero

Continued fraction of √n

√1,013,313 = [1006; (1, 1, 1, 2, 1, 3, 1, 2, 4, 1, 12, 2, 3, 6, 41, 1, 3, 1, 1, 1, 2, 2, 2, 1, …)]

Representations

In words
one million thirteen thousand three hundred thirteen
Ordinal
1013313th
Binary
11110111011001000001
Octal
3673101
Hexadecimal
0xF7641
Base64
D3ZB
One's complement
4,293,953,982 (32-bit)
Scientific notation
1.013313 × 10⁶
As a duration
1,013,313 s = 11 days, 17 hours, 28 minutes, 33 seconds
In other bases
ternary (3) 1220111000010
quaternary (4) 3313121001
quinary (5) 224411223
senary (6) 33415133
septenary (7) 11420160
nonary (9) 1814003
undecimal (11) 632354
duodecimal (12) 40a4a9
tridecimal (13) 2962c2
tetradecimal (14) 1c53d7
pentadecimal (15) 150393

As an angle

1,013,313° = 2,814 × 360° + 273°
273° ≈ 4.765 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺
Chinese
一百零一萬三千三百一十三
Chinese (financial)
壹佰零壹萬參仟參佰壹拾參
In other modern scripts
Eastern Arabic ١٠١٣٣١٣ Devanagari १०१३३१३ Bengali ১০১৩৩১৩ Tamil ௧௦௧௩௩௧௩ Thai ๑๐๑๓๓๑๓ Tibetan ༡༠༡༣༣༡༣ Khmer ១០១៣៣១៣ Lao ໑໐໑໓໓໑໓ Burmese ၁၀၁၃၃၁၃

Also seen as

Hex color
#0F7641
RGB(15, 118, 65)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.65.

Address
0.15.118.65
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.118.65

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 3313 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3313-10-01 (MMDYYYY (US, single-digit day))
  • 3313-01-10 (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 1,013,313 and was likely granted around 1911.

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

Position in π

The digit sequence 1013313 first appears in π at position 273,667 of the decimal expansion (the 273,667ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading