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100,802

100,802 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.).
Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence Sphenic Number Squarefree

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
208,001
Recamán's sequence
a(255,112) = 100,802
Square (n²)
10,161,043,204
Cube (n³)
1,024,253,477,049,608
Divisor count
8
σ(n) — sum of divisors
162,876
φ(n) — Euler's totient
46,512
Sum of prime factors
3,892

Primality

Prime factorization: 2 × 13 × 3877

Nearest primes: 100,801 (−1) · 100,811 (+9)

Divisors & multiples

All divisors (8)
1 · 2 · 13 · 26 · 3877 · 7754 · 50401 (half) · 100802
Aliquot sum (sum of proper divisors): 62,074
Factor pairs (a × b = 100,802)
1 × 100802
2 × 50401
13 × 7754
26 × 3877
First multiples
100,802 · 201,604 (double) · 302,406 · 403,208 · 504,010 · 604,812 · 705,614 · 806,416 · 907,218 · 1,008,020

Sums & aliquot sequence

As a sum of two squares: 101² + 301² = 209² + 239²
As consecutive integers: 25,199 + 25,200 + 25,201 + 25,202 7,748 + 7,749 + … + 7,760 1,913 + 1,914 + … + 1,964
Aliquot sequence: 100,802 62,074 33,434 17,626 12,614 10,714 6,854 3,946 1,976 2,224 2,116 1,755 1,605 987 549 257 1 — unresolved within range

Continued fraction of √n

√100,802 = [317; (2, 36, 1, 5, 1, 3, 1, 1, 2, 2, 12, 1, 1, 5, 1, 1, 1, 4, 1, 1, 2, 44, 1, 26, …)]

Period length 57 — the block in parentheses repeats forever.

Representations

In words
one hundred thousand eight hundred two
Ordinal
100802nd
Binary
11000100111000010
Octal
304702
Hexadecimal
0x189C2
Base64
AYnC
One's complement
4,294,866,493 (32-bit)
Scientific notation
1.00802 × 10⁵
In other bases
ternary (3) 12010021102
quaternary (4) 120213002
quinary (5) 11211202
senary (6) 2054402
septenary (7) 566612
nonary (9) 163242
undecimal (11) 69809
duodecimal (12) 4a402
tridecimal (13) 36b60
tetradecimal (14) 28a42
pentadecimal (15) 1ed02

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 · 𒁹𒁹
Egyptian hieroglyphic
𓆐𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian)
͵ρωβʹ
Mayan (base 20)
𝋬·𝋬·𝋠·𝋢
Chinese
一十萬零八百零二
Chinese (financial)
壹拾萬零捌佰零貳
In other modern scripts
Eastern Arabic ١٠٠٨٠٢ Devanagari १००८०२ Bengali ১০০৮০২ Tamil ௧௦௦௮௦௨ Thai ๑๐๐๘๐๒ Tibetan ༡༠༠༨༠༢ Khmer ១០០៨០២ Lao ໑໐໐໘໐໒ Burmese ၁၀၀၈၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100802, here are decompositions:

  • 3 + 100799 = 100802
  • 61 + 100741 = 100802
  • 103 + 100699 = 100802
  • 109 + 100693 = 100802
  • 181 + 100621 = 100802
  • 193 + 100609 = 100802
  • 211 + 100591 = 100802
  • 283 + 100519 = 100802

Showing the first eight; more decompositions exist.

Unicode codepoint
𘧂
Tangut Component-451
U+189C2
Other letter (Lo)

UTF-8 encoding: F0 98 A7 82 (4 bytes).

Hex color
#0189C2
RGB(1, 137, 194)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.137.194.

Address
0.1.137.194
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.137.194

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 100,802 and was likely granted around 1870.

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

Position in π

The digit sequence 100802 first appears in π at position 694,742 of the decimal expansion (the 694,742ordinal-suffix:nd 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.