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100,048

100,048 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.).
Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
840,001
Square (n²)
10,009,602,304
Cube (n³)
1,001,440,691,310,592
Divisor count
30
σ(n) — sum of divisors
215,574
φ(n) — Euler's totient
44,928
Sum of prime factors
71

Primality

Prime factorization: 2 4 × 13 2 × 37

Nearest primes: 100,043 (−5) · 100,049 (+1)

Divisors & multiples

All divisors (30)
1 · 2 · 4 · 8 · 13 · 16 · 26 · 37 · 52 · 74 · 104 · 148 · 169 · 208 · 296 · 338 · 481 · 592 · 676 · 962 · 1352 · 1924 · 2704 · 3848 · 6253 · 7696 · 12506 · 25012 · 50024 (half) · 100048
Aliquot sum (sum of proper divisors): 115,526
Factor pairs (a × b = 100,048)
1 × 100048
2 × 50024
4 × 25012
8 × 12506
13 × 7696
16 × 6253
26 × 3848
37 × 2704
52 × 1924
74 × 1352
104 × 962
148 × 676
169 × 592
208 × 481
296 × 338
First multiples
100,048 · 200,096 (double) · 300,144 · 400,192 · 500,240 · 600,288 · 700,336 · 800,384 · 900,432 · 1,000,480

Sums & aliquot sequence

As a sum of two squares: 52² + 312² = 72² + 308² = 168² + 268²
As consecutive integers: 7,690 + 7,691 + … + 7,702 3,111 + 3,112 + … + 3,142 2,686 + 2,687 + … + 2,722 508 + 509 + … + 676
Aliquot sequence: 100,048 115,526 61,594 43,238 26,650 28,034 14,734 7,946 4,474 2,240 3,856 3,646 1,826 1,198 602 454 230 — unresolved within range

Representations

In words
one hundred thousand forty-eight
Ordinal
100048th
Binary
11000011011010000
Octal
303320
Hexadecimal
0x186D0
Base64
AYbQ
One's complement
4,294,867,247 (32-bit)
In other bases
ternary (3) 12002020111
quaternary (4) 120123100
quinary (5) 11200143
senary (6) 2051104
septenary (7) 564454
nonary (9) 162214
undecimal (11) 69193
duodecimal (12) 49a94
tridecimal (13) 36700
tetradecimal (14) 28664
pentadecimal (15) 1e99d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρμηʹ
Mayan (base 20)
𝋬·𝋪·𝋢·𝋨
Chinese
一十萬零四十八
Chinese (financial)
壹拾萬零肆拾捌
In other modern scripts
Eastern Arabic ١٠٠٠٤٨ Devanagari १०००४८ Bengali ১০০০৪৮ Tamil ௧௦௦௦௪௮ Thai ๑๐๐๐๔๘ Tibetan ༡༠༠༠༤༨ Khmer ១០០០៤៨ Lao ໑໐໐໐໔໘ Burmese ၁၀၀၀၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 100048, here are decompositions:

  • 5 + 100043 = 100048
  • 29 + 100019 = 100048
  • 59 + 99989 = 100048
  • 167 + 99881 = 100048
  • 239 + 99809 = 100048
  • 281 + 99767 = 100048
  • 359 + 99689 = 100048
  • 467 + 99581 = 100048

Showing the first eight; more decompositions exist.

Unicode codepoint
𘛐
Tangut Ideograph-186D0
U+186D0
Other letter (Lo)

UTF-8 encoding: F0 98 9B 90 (4 bytes).

Hex color
#0186D0
RGB(1, 134, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.134.208.

Address
0.1.134.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.134.208

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 100,048 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 100048 first appears in π at position 437,152 of the decimal expansion (the 437,152ordinal-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.