Live analysis

106,464

106,464 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.).

106,464 (one hundred six thousand four hundred sixty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 3 × 1,109. Its proper divisors sum to 173,256, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x19FE0.

Abundant Number Arithmetic Number Evil Number Recamán's Sequence Refactorable Number Self Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

106,452 106,453 106,454 106,455 106,456 106,457 106,458 106,459 106,460 106,461 106,462 106,463 106,464 106,465 106,466 106,467 106,468 106,469 106,470 106,471 106,472 106,473 106,474 106,475 106,476

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 21
Digit product: 0
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 464,601
Recamán's sequence: a(252,252) = 106,464
Square (n²): 11,334,583,296
Cube (n³): 1,206,725,076,025,344
Divisor count: 24
σ(n) — sum of divisors: 279,720
φ(n) — Euler's totient: 35,456
Sum of prime factors: 1,122

Primality

Prime factorization: 2 ⁵ × 3 × 1109

Nearest primes: 106,453 (−11) · 106,487 (+23)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 96 · 1109 · 2218 · 3327 · 4436 · 6654 · 8872 · 13308 · 17744 · 26616 · 35488 · 53232 (half) · 106464

Aliquot sum (sum of proper divisors): 173,256

Factor pairs (a × b = 106,464)

1 × 106464

2 × 53232

3 × 35488

4 × 26616

6 × 17744

8 × 13308

12 × 8872

16 × 6654

24 × 4436

32 × 3327

48 × 2218

96 × 1109

First multiples

106,464 · 212,928 (double) · 319,392 · 425,856 · 532,320 · 638,784 · 745,248 · 851,712 · 958,176 · 1,064,640

Sums & aliquot sequence

As consecutive integers: 35,487 + 35,488 + 35,489 1,632 + 1,633 + … + 1,695 459 + 460 + … + 650

Aliquot sequence: 106,464 → 173,256 → 259,944 → 389,976 → 585,024 → 1,109,664 → 2,046,762 → 2,662,038 → 3,253,722 → 3,312,678 → 3,312,690 → 4,985,166 → 4,985,178 → 5,891,718 → 7,678,842 → 7,678,854 → 9,787,386 — unresolved within range

Continued fraction of √n

√106,464 = [326; (3, 2, 7, 1, 2, 1, 2, 5, 1, 5, 1, 2, 6, 1, 1, 12, 1, 3, 1, 1, 2, 1, 6, 6, …)]

Representations

In words: one hundred six thousand four hundred sixty-four
Ordinal: 106464th
Binary: 11001111111100000
Octal: 317740
Hexadecimal: 0x19FE0
Base64: AZ/g
One's complement: 4,294,860,831 (32-bit)
Scientific notation: 1.06464 × 10⁵
As a duration: 106,464 s = 1 day, 5 hours, 34 minutes, 24 seconds

In other bases

ternary (3) 12102001010

quaternary (4) 121333200

quinary (5) 11401324

senary (6) 2140520

septenary (7) 622251

nonary (9) 172033

undecimal (11) 72a96

duodecimal (12) 51740

tridecimal (13) 395c7

tetradecimal (14) 2ab28

pentadecimal (15) 21829

As an angle

106,464° = 295 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρϛυξδʹ
Mayan (base 20): 𝋭·𝋦·𝋣·𝋤
Chinese: 十萬六千四百六十四
Chinese (financial): 壹拾萬陸仟肆佰陸拾肆

In other modern scripts

Eastern Arabic ١٠٦٤٦٤ Devanagari १०६४६४ Bengali ১০৬৪৬৪ Tamil ௧௦௬௪௬௪ Thai ๑๐๖๔๖๔ Tibetan ༡༠༦༤༦༤ Khmer ១០៦៤៦៤ Lao ໑໐໖໔໖໔ Burmese ၁၀၆၄၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 106464, here are decompositions:

11 + 106453 = 106464
13 + 106451 = 106464
23 + 106441 = 106464
31 + 106433 = 106464
37 + 106427 = 106464
47 + 106417 = 106464
53 + 106411 = 106464
67 + 106397 = 106464

Showing the first eight; more decompositions exist.

Hex color

#019FE0

RGB(1, 159, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.159.224.

Address: 0.1.159.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.159.224

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 106,464 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 US106,464 on Google Patents ↗ Look up on USPTO ↗