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101,987

101,987 is a prime, 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.).

101,987 (one hundred one thousand nine hundred eighty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x18E63.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Prime Safe Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
789,101
Square (n²)
10,401,348,169
Cube (n³)
1,060,802,295,711,803
Divisor count
2
σ(n) — sum of divisors
101,988
φ(n) — Euler's totient
101,986

Primality

101,987 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 101987
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 101,987)
1 × 101987
First multiples
101,987 · 203,974 (double) · 305,961 · 407,948 · 509,935 · 611,922 · 713,909 · 815,896 · 917,883 · 1,019,870

Sums & aliquot sequence

As consecutive integers: 50,993 + 50,994

Continued fraction of √n

√101,987 = [319; (2, 1, 4, 1, 2, 2, 1, 21, 3, 9, 1, 36, 1, 2, 90, 1, 9, 1, 5, 8, 1, 1, 2, 1, …)]

Representations

In words
one hundred one thousand nine hundred eighty-seven
Ordinal
101987th
Binary
11000111001100011
Octal
307143
Hexadecimal
0x18E63
Base64
AY5j
One's complement
4,294,865,308 (32-bit)
Scientific notation
1.01987 × 10⁵
As a duration
101,987 s = 1 day, 4 hours, 19 minutes, 47 seconds
In other bases
ternary (3) 12011220022
quaternary (4) 120321203
quinary (5) 11230422
senary (6) 2104055
septenary (7) 603224
nonary (9) 164808
undecimal (11) 6a696
duodecimal (12) 4b02b
tridecimal (13) 37562
tetradecimal (14) 2924b
pentadecimal (15) 20342

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ραϡπζʹ
Mayan (base 20)
𝋬·𝋮·𝋳·𝋧
Chinese
一十萬一千九百八十七
Chinese (financial)
壹拾萬壹仟玖佰捌拾柒
In other modern scripts
Eastern Arabic ١٠١٩٨٧ Devanagari १०१९८७ Bengali ১০১৯৮৭ Tamil ௧௦௧௯௮௭ Thai ๑๐๑๙๘๗ Tibetan ༡༠༡༩༨༧ Khmer ១០១៩៨៧ Lao ໑໐໑໙໘໗ Burmese ၁၀၁၉၈၇

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#018E63
RGB(1, 142, 99)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.142.99.

Address
0.1.142.99
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.142.99

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 101,987 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 101987 first appears in π at position 608,606 of the decimal expansion (the 608,606ordinal-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.

Related reading

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.