Live analysis

104,988

104,988 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.).

104,988 (one hundred four thousand nine hundred eighty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 13 × 673. Its proper divisors sum to 159,220, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19A1C.

Abundant Number Cube-Free Evil Number Happy Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

104,976 104,977 104,978 104,979 104,980 104,981 104,982 104,983 104,984 104,985 104,986 104,987 104,988 104,989 104,990 104,991 104,992 104,993 104,994 104,995 104,996 104,997 104,998 104,999 105,000

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 30
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 889,401
Recamán's sequence: a(91,107) = 104,988
Square (n²): 11,022,480,144
Cube (n³): 1,157,228,145,358,272
Divisor count: 24
σ(n) — sum of divisors: 264,208
φ(n) — Euler's totient: 32,256
Sum of prime factors: 693

Primality

Prime factorization: 2 ² × 3 × 13 × 673

Nearest primes: 104,987 (−1) · 104,999 (+11)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 12 · 13 · 26 · 39 · 52 · 78 · 156 · 673 · 1346 · 2019 · 2692 · 4038 · 8076 · 8749 · 17498 · 26247 · 34996 · 52494 (half) · 104988

Aliquot sum (sum of proper divisors): 159,220

Factor pairs (a × b = 104,988)

1 × 104988

2 × 52494

3 × 34996

4 × 26247

6 × 17498

12 × 8749

13 × 8076

26 × 4038

39 × 2692

52 × 2019

78 × 1346

156 × 673

First multiples

104,988 · 209,976 (double) · 314,964 · 419,952 · 524,940 · 629,928 · 734,916 · 839,904 · 944,892 · 1,049,880

Sums & aliquot sequence

As consecutive integers: 34,995 + 34,996 + 34,997 13,120 + 13,121 + … + 13,127 8,070 + 8,071 + … + 8,082 4,363 + 4,364 + … + 4,386

Aliquot sequence: 104,988 → 159,220 → 193,580 → 212,980 → 254,732 → 201,724 → 181,316 → 135,994 → 70,394 → 37,114 → 32,582 → 20,770 → 18,398 → 9,202 → 5,054 → 4,090 → 3,290 — unresolved within range

Continued fraction of √n

√104,988 = [324; (54, 648)]

Period length 2 — the block in parentheses repeats forever.

Representations

In words: one hundred four thousand nine hundred eighty-eight
Ordinal: 104988th
Binary: 11001101000011100
Octal: 315034
Hexadecimal: 0x19A1C
Base64: AZoc
One's complement: 4,294,862,307 (32-bit)
Scientific notation: 1.04988 × 10⁵
As a duration: 104,988 s = 1 day, 5 hours, 9 minutes, 48 seconds

In other bases

ternary (3) 12100000110

quaternary (4) 121220130

quinary (5) 11324423

senary (6) 2130020

septenary (7) 615042

nonary (9) 170013

undecimal (11) 71974

duodecimal (12) 50910

tridecimal (13) 38a30

tetradecimal (14) 2a392

pentadecimal (15) 21193

As an angle

104,988° = 291 × 360° + 228°

228° ≈ 3.979 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρδϡπηʹ
Mayan (base 20): 𝋭·𝋢·𝋩·𝋨
Chinese: 一十萬四千九百八十八
Chinese (financial): 壹拾萬肆仟玖佰捌拾捌

In other modern scripts

Eastern Arabic ١٠٤٩٨٨ Devanagari १०४९८८ Bengali ১০৪৯৮৮ Tamil ௧௦௪௯௮௮ Thai ๑๐๔๙๘๘ Tibetan ༡༠༤༩༨༨ Khmer ១០៤៩៨៨ Lao ໑໐໔໙໘໘ Burmese ၁၀၄၉၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104988, here are decompositions:

17 + 104971 = 104988
29 + 104959 = 104988
41 + 104947 = 104988
71 + 104917 = 104988
97 + 104891 = 104988
109 + 104879 = 104988
137 + 104851 = 104988
139 + 104849 = 104988

Showing the first eight; more decompositions exist.

Hex color

#019A1C

RGB(1, 154, 28)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.154.28.

Address: 0.1.154.28
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.154.28

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 104,988 and was likely granted around 1870.

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

Look up US104,988 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 104988 first appears in π at position 22,212 of the decimal expansion (the 22,212ordinal-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.

Look up 104988 on Pi Search ↗