number.wiki
Live analysis

101,104

101,104 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.).
Arithmetic Number Deficient Number Evil Number Happy Number Recamán's Sequence

Properties

Parity
Even
Digit count
6
Digit sum
7
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
401,101
Recamán's sequence
a(98,591) = 101,104
Square (n²)
10,222,018,816
Cube (n³)
1,033,486,990,372,864
Divisor count
20
σ(n) — sum of divisors
200,880
φ(n) — Euler's totient
49,280
Sum of prime factors
168

Primality

Prime factorization: 2 4 × 71 × 89

Nearest primes: 101,089 (−15) · 101,107 (+3)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 71 · 89 · 142 · 178 · 284 · 356 · 568 · 712 · 1136 · 1424 · 6319 · 12638 · 25276 · 50552 (half) · 101104
Aliquot sum (sum of proper divisors): 99,776
Factor pairs (a × b = 101,104)
1 × 101104
2 × 50552
4 × 25276
8 × 12638
16 × 6319
71 × 1424
89 × 1136
142 × 712
178 × 568
284 × 356
First multiples
101,104 · 202,208 (double) · 303,312 · 404,416 · 505,520 · 606,624 · 707,728 · 808,832 · 909,936 · 1,011,040

Sums & aliquot sequence

As consecutive integers: 3,144 + 3,145 + … + 3,175 1,389 + 1,390 + … + 1,459 1,092 + 1,093 + … + 1,180
Aliquot sequence: 101,104 99,776 98,344 96,056 84,064 88,304 82,816 82,424 72,136 66,104 57,856 58,766 29,386 21,014 17,386 8,696 7,624 — unresolved within range

Continued fraction of √n

√101,104 = [317; (1, 30, 1, 3, 1, 24, 1, 1, 1, 3, 3, 4, 1, 19, 16, 3, 1, 10, 2, 2, 13, 7, 1, 6, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred one thousand one hundred four
Ordinal
101104th
Binary
11000101011110000
Octal
305360
Hexadecimal
0x18AF0
Base64
AYrw
One's complement
4,294,866,191 (32-bit)
Scientific notation
1.01104 × 10⁵
In other bases
ternary (3) 12010200121
quaternary (4) 120223300
quinary (5) 11213404
senary (6) 2100024
septenary (7) 600523
nonary (9) 163617
undecimal (11) 69a63
duodecimal (12) 4a614
tridecimal (13) 37033
tetradecimal (14) 28bba
pentadecimal (15) 1ee54

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ραρδʹ
Mayan (base 20)
𝋬·𝋬·𝋯·𝋤
Chinese
一十萬一千一百零四
Chinese (financial)
壹拾萬壹仟壹佰零肆
In other modern scripts
Eastern Arabic ١٠١١٠٤ Devanagari १०११०४ Bengali ১০১১০৪ Tamil ௧௦௧௧௦௪ Thai ๑๐๑๑๐๔ Tibetan ༡༠༡༡༠༤ Khmer ១០១១០៤ Lao ໑໐໑໑໐໔ Burmese ၁၀၁၁၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101104, here are decompositions:

  • 23 + 101081 = 101104
  • 41 + 101063 = 101104
  • 53 + 101051 = 101104
  • 83 + 101021 = 101104
  • 167 + 100937 = 101104
  • 173 + 100931 = 101104
  • 191 + 100913 = 101104
  • 197 + 100907 = 101104

Showing the first eight; more decompositions exist.

Unicode codepoint
𘫰
Tangut Component-753
U+18AF0
Other letter (Lo)

UTF-8 encoding: F0 98 AB B0 (4 bytes).

Hex color
#018AF0
RGB(1, 138, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.240.

Address
0.1.138.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.138.240

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 101,104 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 101104 first appears in π at position 23,839 of the decimal expansion (the 23,839ordinal-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.