Live analysis

101,004

101,004 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 Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Semiperfect Number

Properties

Parity: Even
Digit count: 6
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 400,101
Square (n²): 10,201,808,016
Cube (n³): 1,030,423,416,848,064
Divisor count: 24
σ(n) — sum of divisors: 248,640
φ(n) — Euler's totient: 31,824
Sum of prime factors: 469

Primality

Prime factorization: 2 ² × 3 × 19 × 443

Nearest primes: 100,999 (−5) · 101,009 (+5)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 19 · 38 · 57 · 76 · 114 · 228 · 443 · 886 · 1329 · 1772 · 2658 · 5316 · 8417 · 16834 · 25251 · 33668 · 50502 (half) · 101004

Aliquot sum (sum of proper divisors): 147,636

Factor pairs (a × b = 101,004)

1 × 101004

2 × 50502

3 × 33668

4 × 25251

6 × 16834

12 × 8417

19 × 5316

38 × 2658

57 × 1772

76 × 1329

114 × 886

228 × 443

First multiples

101,004 · 202,008 (double) · 303,012 · 404,016 · 505,020 · 606,024 · 707,028 · 808,032 · 909,036 · 1,010,040

Sums & aliquot sequence

As consecutive integers: 33,667 + 33,668 + 33,669 12,622 + 12,623 + … + 12,629 5,307 + 5,308 + … + 5,325 4,197 + 4,198 + … + 4,220

Aliquot sequence: 101,004 → 147,636 → 235,404 → 406,692 → 816,348 → 1,235,380 → 1,496,300 → 2,003,476 → 1,597,632 → 2,736,624 → 5,191,440 → 11,140,848 → 24,481,872 → 45,791,408 → 49,754,560 → 70,123,280 → 94,377,352 — unresolved within range

Continued fraction of √n

√101,004 = [317; (1, 4, 3, 2, 1, 5, 1, 1, 1, 12, 3, 10, 10, 2, 78, 1, 41, 2, 1, 1, 2, 1, 1, 2, …)]

Representations

In words: one hundred one thousand four
Ordinal: 101004th
Binary: 11000101010001100
Octal: 305214
Hexadecimal: 0x18A8C
Base64: AYqM
One's complement: 4,294,866,291 (32-bit)
Scientific notation: 1.01004 × 10⁵

In other bases

ternary (3) 12010112220

quaternary (4) 120222030

quinary (5) 11213004

senary (6) 2055340

septenary (7) 600321

nonary (9) 163486

undecimal (11) 69982

duodecimal (12) 4a550

tridecimal (13) 36c87

tetradecimal (14) 28b48

pentadecimal (15) 1edd9

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ραδʹ
Mayan (base 20): 𝋬·𝋬·𝋪·𝋤
Chinese: 一十萬一千零四
Chinese (financial): 壹拾萬壹仟零肆

In other modern scripts

Eastern Arabic ١٠١٠٠٤ Devanagari १०१००४ Bengali ১০১০০৪ Tamil ௧௦௧௦௦௪ Thai ๑๐๑๐๐๔ Tibetan ༡༠༡༠༠༤ Khmer ១០១០០៤ Lao ໑໐໑໐໐໔ Burmese ၁၀၁၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 101004, here are decompositions:

5 + 100999 = 101004
17 + 100987 = 101004
23 + 100981 = 101004
47 + 100957 = 101004
61 + 100943 = 101004
67 + 100937 = 101004
73 + 100931 = 101004
97 + 100907 = 101004

Showing the first eight; more decompositions exist.

Unicode codepoint

𘪌

Tangut Component-653

U+18A8C

Other letter (Lo)

UTF-8 encoding: F0 98 AA 8C (4 bytes).

Lookup U+18A8C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#018A8C

RGB(1, 138, 140)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.138.140.

Address: 0.1.138.140
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.138.140

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 101,004 and was likely granted around 1870.

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

Look up US101,004 on Google Patents ↗ Look up on USPTO ↗