Live analysis

100,013

100,013 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.).

100,013 (one hundred thousand thirteen) is an odd 6-digit number. It is a composite number with 4 divisors, and factors as 103 × 971. Written other ways, in hexadecimal, 0x186AD.

Arithmetic Number Cube-Free Deficient Number Odious Number Recamán's Sequence Semiprime Squarefree

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

100,001 100,002 100,003 100,004 100,005 100,006 100,007 100,008 100,009 100,010 100,011 100,012 100,013 100,014 100,015 100,016 100,017 100,018 100,019 100,020 100,021 100,022 100,023 100,024 100,025

less more

Properties

Parity: Odd
Digit count: 6
Digit sum: 5
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 17 bits
Reversed: 310,001
Recamán's sequence: a(255,814) = 100,013
Square (n²): 10,002,600,169
Cube (n³): 1,000,390,050,702,197
Divisor count: 4
σ(n) — sum of divisors: 101,088
φ(n) — Euler's totient: 98,940
Sum of prime factors: 1,074

Primality

Prime factorization: 103 × 971

Nearest primes: 100,003 (−10) · 100,019 (+6)

Divisors & multiples

All divisors (4)

1 · 103 · 971 · 100013

Aliquot sum (sum of proper divisors): 1,075

Factor pairs (a × b = 100,013)

1 × 100013

103 × 971

First multiples

100,013 · 200,026 (double) · 300,039 · 400,052 · 500,065 · 600,078 · 700,091 · 800,104 · 900,117 · 1,000,130

Sums & aliquot sequence

As consecutive integers: 50,006 + 50,007 920 + 921 + … + 1,022 383 + 384 + … + 588

Aliquot sequence: 100,013 → 1,075 → 289 → 18 → 21 → 11 → 1 → 0 — terminates at zero

Continued fraction of √n

√100,013 = [316; (4, 36, 1, 21, 1, 1, 1, 1, 1, 1, 8, 1, 4, 1, 2, 2, 1, 6, 1, 11, 3, 2, 2, 3, …)]

Representations

In words: one hundred thousand thirteen
Ordinal: 100013th
Binary: 11000011010101101
Octal: 303255
Hexadecimal: 0x186AD
Base64: AYat
One's complement: 4,294,867,282 (32-bit)
Scientific notation: 1.00013 × 10⁵
As a duration: 100,013 s = 1 day, 3 hours, 46 minutes, 53 seconds

In other bases

ternary (3) 12002012012

quaternary (4) 120122231

quinary (5) 11200023

senary (6) 2051005

septenary (7) 564404

nonary (9) 162165

undecimal (11) 69161

duodecimal (12) 49a65

tridecimal (13) 366a4

tetradecimal (14) 2863b

pentadecimal (15) 1e978

As an angle

100,013° = 277 × 360° + 293°

293° ≈ 5.114 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓎆𓏺𓏺𓏺
Greek (Milesian): ͵ριγʹ
Mayan (base 20): 𝋬·𝋪·𝋠·𝋭
Chinese: 一十萬零一十三
Chinese (financial): 壹拾萬零壹拾參

In other modern scripts

Eastern Arabic ١٠٠٠١٣ Devanagari १०००१३ Bengali ১০০০১৩ Tamil ௧௦௦௦௧௩ Thai ๑๐๐๐๑๓ Tibetan ༡༠༠༠༡༣ Khmer ១០០០១៣ Lao ໑໐໐໐໑໓ Burmese ၁၀၀၀၁၃

Also seen as

Unicode codepoint

𘚭

Tangut Ideograph-186Ad

U+186AD

Other letter (Lo)

UTF-8 encoding: F0 98 9A AD (4 bytes).

Lookup U+186AD on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#0186AD

RGB(1, 134, 173)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.134.173.

Address: 0.1.134.173
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.134.173

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

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 100,013 and was likely granted around 1870.

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

Look up US100,013 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 100013 first appears in π at position 386,665 of the decimal expansion (the 386,665ordinal-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.

Look up 100013 on Pi Search ↗