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103,988

103,988 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.).

103,988 (one hundred three thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 25,997. Written other ways, in hexadecimal, 0x19634.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Recamán's Sequence Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
889,301
Recamán's sequence
a(94,127) = 103,988
Square (n²)
10,813,504,144
Cube (n³)
1,124,474,668,926,272
Divisor count
6
σ(n) — sum of divisors
181,986
φ(n) — Euler's totient
51,992
Sum of prime factors
26,001

Primality

Prime factorization: 2 2 × 25997

Nearest primes: 103,981 (−7) · 103,991 (+3)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 25997 · 51994 (half) · 103988
Aliquot sum (sum of proper divisors): 77,998
Factor pairs (a × b = 103,988)
1 × 103988
2 × 51994
4 × 25997
First multiples
103,988 · 207,976 (double) · 311,964 · 415,952 · 519,940 · 623,928 · 727,916 · 831,904 · 935,892 · 1,039,880

Sums & aliquot sequence

As a sum of two squares: 188² + 262²
As consecutive integers: 12,995 + 12,996 + … + 13,002
Aliquot sequence: 103,988 77,998 41,162 26,230 22,874 11,440 19,808 19,252 14,446 8,018 4,702 2,354 1,534 986 634 320 442 — unresolved within range

Continued fraction of √n

√103,988 = [322; (2, 8, 2, 1, 57, 1, 19, 1, 4, 1, 1, 1, 1, 4, 1, 2, 1, 1, 1, 1, 3, 1, 8, 1, …)]

Representations

In words
one hundred three thousand nine hundred eighty-eight
Ordinal
103988th
Binary
11001011000110100
Octal
313064
Hexadecimal
0x19634
Base64
AZY0
One's complement
4,294,863,307 (32-bit)
Scientific notation
1.03988 × 10⁵
As a duration
103,988 s = 1 day, 4 hours, 53 minutes, 8 seconds
In other bases
ternary (3) 12021122102
quaternary (4) 121120310
quinary (5) 11311423
senary (6) 2121232
septenary (7) 612113
nonary (9) 167572
undecimal (11) 71145
duodecimal (12) 50218
tridecimal (13) 38441
tetradecimal (14) 29c7a
pentadecimal (15) 20c28

As an angle

103,988° = 288 × 360° + 308°
308° ≈ 5.376 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ργϡπηʹ
Mayan (base 20)
𝋬·𝋳·𝋳·𝋨
Chinese
一十萬三千九百八十八
Chinese (financial)
壹拾萬參仟玖佰捌拾捌
In other modern scripts
Eastern Arabic ١٠٣٩٨٨ Devanagari १०३९८८ Bengali ১০৩৯৮৮ Tamil ௧௦௩௯௮௮ Thai ๑๐๓๙๘๘ Tibetan ༡༠༣༩༨༨ Khmer ១០៣៩៨៨ Lao ໑໐໓໙໘໘ Burmese ၁၀၃၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 103988, here are decompositions:

  • 7 + 103981 = 103988
  • 19 + 103969 = 103988
  • 37 + 103951 = 103988
  • 151 + 103837 = 103988
  • 307 + 103681 = 103988
  • 331 + 103657 = 103988
  • 337 + 103651 = 103988
  • 397 + 103591 = 103988

Showing the first eight; more decompositions exist.

Hex color
#019634
RGB(1, 150, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.52.

Address
0.1.150.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.150.52

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 103,988 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 103988 first appears in π at position 304,233 of the decimal expansion (the 304,233ordinal-suffix:rd 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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.