Live analysis

1,013,397

1,013,397 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.).

1,013,397 (one million thirteen thousand three hundred ninety-seven) is an odd 7-digit number. It is a composite number with 32 divisors, and factors as 3 × 7 × 11 × 41 × 107. Written other ways, in hexadecimal, 0xF7695.

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

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

1,013,385 1,013,386 1,013,387 1,013,388 1,013,389 1,013,390 1,013,391 1,013,392 1,013,393 1,013,394 1,013,395 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

less more

Properties

Parity: Odd
Digit count: 7
Digit sum: 24
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 7,933,101
Square (n²): 1,026,973,479,609
Cube (n³): 1,040,731,843,315,321,773
Divisor count: 32
σ(n) — sum of divisors: 1,741,824
φ(n) — Euler's totient: 508,800
Sum of prime factors: 169

Primality

Prime factorization: 3 × 7 × 11 × 41 × 107

Nearest primes: 1,013,377 (−20) · 1,013,399 (+2)

Divisors & multiples

All divisors (32)

1 · 3 · 7 · 11 · 21 · 33 · 41 · 77 · 107 · 123 · 231 · 287 · 321 · 451 · 749 · 861 · 1177 · 1353 · 2247 · 3157 · 3531 · 4387 · 8239 · 9471 · 13161 · 24717 · 30709 · 48257 · 92127 · 144771 · 337799 · 1013397

Aliquot sum (sum of proper divisors): 728,427

Factor pairs (a × b = 1,013,397)

1 × 1013397

3 × 337799

7 × 144771

11 × 92127

21 × 48257

33 × 30709

41 × 24717

77 × 13161

107 × 9471

123 × 8239

231 × 4387

287 × 3531

321 × 3157

451 × 2247

749 × 1353

861 × 1177

First multiples

1,013,397 · 2,026,794 (double) · 3,040,191 · 4,053,588 · 5,066,985 · 6,080,382 · 7,093,779 · 8,107,176 · 9,120,573 · 10,133,970

Sums & aliquot sequence

As consecutive integers: 506,698 + 506,699 337,798 + 337,799 + 337,800 168,897 + 168,898 + 168,899 + 168,900 + 168,901 + 168,902 144,768 + 144,769 + … + 144,774

Aliquot sequence: 1,013,397 → 728,427 → 381,589 → 34,211 → 1 → 0 — terminates at zero

Continued fraction of √n

√1,013,397 = [1006; (1, 2, 11, 3, 3, 1, 1, 13, 26, 13, 1, 1, 3, 3, 11, 2, 1, 2012)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand three hundred ninety-seven
Ordinal: 1013397th
Binary: 11110111011010010101
Octal: 3673225
Hexadecimal: 0xF7695
Base64: D3aV
One's complement: 4,293,953,898 (32-bit)
Scientific notation: 1.013397 × 10⁶
As a duration: 1,013,397 s = 11 days, 17 hours, 29 minutes, 57 seconds

In other bases

ternary (3) 1220111010020

quaternary (4) 3313122111

quinary (5) 224412042

senary (6) 33415353

septenary (7) 11420340

nonary (9) 1814106

undecimal (11) 632420

duodecimal (12) 40a559

tridecimal (13) 296358

tetradecimal (14) 1c5457

pentadecimal (15) 1503ec

As an angle

1,013,397° = 2,814 × 360° + 357°

357° ≈ 6.231 rad

Compass bearing: N (north)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千三百九十七
Chinese (financial): 壹佰零壹萬參仟參佰玖拾柒

In other modern scripts

Eastern Arabic ١٠١٣٣٩٧ Devanagari १०१३३९७ Bengali ১০১৩৩৯৭ Tamil ௧௦௧௩௩௯௭ Thai ๑๐๑๓๓๙๗ Tibetan ༡༠༡༣༣༩༧ Khmer ១០១៣៣៩៧ Lao ໑໐໑໓໓໙໗ Burmese ၁၀၁၃၃၉၇

Also seen as

Hex color

#0F7695

RGB(15, 118, 149)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.149.

Address: 0.15.118.149
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.118.149

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 3397 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3397-10-01 (MMDYYYY (US, single-digit day))
3397-01-10 (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 1,013,397 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 US1,013,397 on Google Patents ↗ Look up on USPTO ↗