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101,764

101,764 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.).

101,764 (one hundred one thousand seven hundred sixty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 13 × 19 × 103. Its proper divisors sum to 102,076, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x18D84.

Abundant Number Cube-Free Happy Number Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
467,101
Square (n²)
10,355,911,696
Cube (n³)
1,053,858,997,831,744
Divisor count
24
σ(n) — sum of divisors
203,840
φ(n) — Euler's totient
44,064
Sum of prime factors
139

Primality

Prime factorization: 2 2 × 13 × 19 × 103

Nearest primes: 101,749 (−15) · 101,771 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 13 · 19 · 26 · 38 · 52 · 76 · 103 · 206 · 247 · 412 · 494 · 988 · 1339 · 1957 · 2678 · 3914 · 5356 · 7828 · 25441 · 50882 (half) · 101764
Aliquot sum (sum of proper divisors): 102,076
Factor pairs (a × b = 101,764)
1 × 101764
2 × 50882
4 × 25441
13 × 7828
19 × 5356
26 × 3914
38 × 2678
52 × 1957
76 × 1339
103 × 988
206 × 494
247 × 412
First multiples
101,764 · 203,528 (double) · 305,292 · 407,056 · 508,820 · 610,584 · 712,348 · 814,112 · 915,876 · 1,017,640

Sums & aliquot sequence

As consecutive integers: 12,717 + 12,718 + … + 12,724 7,822 + 7,823 + … + 7,834 5,347 + 5,348 + … + 5,365 937 + 938 + … + 1,039
Aliquot sequence: 101,764 102,076 92,636 69,484 56,516 44,284 33,220 43,388 32,548 25,692 34,284 45,740 50,356 37,774 28,322 24,175 5,833 — unresolved within range

Continued fraction of √n

√101,764 = [319; (212, 1, 2, 70, 1, 1, 3, 1, 22, 1, 5, 1, 3, 7, 1, 1, 1, 1, 1, 1, 2, 2, 2, 4, …)]

Representations

In words
one hundred one thousand seven hundred sixty-four
Ordinal
101764th
Binary
11000110110000100
Octal
306604
Hexadecimal
0x18D84
Base64
AY2E
One's complement
4,294,865,531 (32-bit)
Scientific notation
1.01764 × 10⁵
As a duration
101,764 s = 1 day, 4 hours, 16 minutes, 4 seconds
In other bases
ternary (3) 12011121001
quaternary (4) 120312010
quinary (5) 11224024
senary (6) 2103044
septenary (7) 602455
nonary (9) 164531
undecimal (11) 6a503
duodecimal (12) 4aa84
tridecimal (13) 37420
tetradecimal (14) 2912c
pentadecimal (15) 20244

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ραψξδʹ
Mayan (base 20)
𝋬·𝋮·𝋨·𝋤
Chinese
一十萬一千七百六十四
Chinese (financial)
壹拾萬壹仟柒佰陸拾肆
In other modern scripts
Eastern Arabic ١٠١٧٦٤ Devanagari १०१७६४ Bengali ১০১৭৬৪ Tamil ௧௦௧௭௬௪ Thai ๑๐๑๗๖๔ Tibetan ༡༠༡༧༦༤ Khmer ១០១៧៦៤ Lao ໑໐໑໗໖໔ Burmese ၁၀၁၇၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101764, here are decompositions:

  • 17 + 101747 = 101764
  • 23 + 101741 = 101764
  • 41 + 101723 = 101764
  • 71 + 101693 = 101764
  • 83 + 101681 = 101764
  • 101 + 101663 = 101764
  • 137 + 101627 = 101764
  • 191 + 101573 = 101764

Showing the first eight; more decompositions exist.

Hex color
#018D84
RGB(1, 141, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.141.132.

Address
0.1.141.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.141.132

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 101,764 and was likely granted around 1870.

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

Related reading