Live analysis

488,748

488,748 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.).

488,748 (four hundred eighty-eight thousand seven hundred forty-eight) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 13² × 241. Its proper divisors sum to 751,260, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x7752C.

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

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

488,736 488,737 488,738 488,739 488,740 488,741 488,742 488,743 488,744 488,745 488,746 488,747 488,748 488,749 488,750 488,751 488,752 488,753 488,754 488,755 488,756 488,757 488,758 488,759 488,760

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 39
Digit product: 57,344
Digital root: 3
Palindrome: No
Bit width: 19 bits
Reversed: 847,884
Square (n²): 238,874,607,504
Cube (n³): 116,749,486,668,364,992
Divisor count: 36
σ(n) — sum of divisors: 1,240,008
φ(n) — Euler's totient: 149,760
Sum of prime factors: 274

Primality

Prime factorization: 2 ² × 3 × 13 ² × 241

Nearest primes: 488,743 (−5) · 488,749 (+1)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 12 · 13 · 26 · 39 · 52 · 78 · 156 · 169 · 241 · 338 · 482 · 507 · 676 · 723 · 964 · 1014 · 1446 · 2028 · 2892 · 3133 · 6266 · 9399 · 12532 · 18798 · 37596 · 40729 · 81458 · 122187 · 162916 · 244374 (half) · 488748

Aliquot sum (sum of proper divisors): 751,260

Factor pairs (a × b = 488,748)

1 × 488748

2 × 244374

3 × 162916

4 × 122187

6 × 81458

12 × 40729

13 × 37596

26 × 18798

39 × 12532

52 × 9399

78 × 6266

156 × 3133

169 × 2892

241 × 2028

338 × 1446

482 × 1014

507 × 964

676 × 723

First multiples

488,748 · 977,496 (double) · 1,466,244 · 1,954,992 · 2,443,740 · 2,932,488 · 3,421,236 · 3,909,984 · 4,398,732 · 4,887,480

Sums & aliquot sequence

As consecutive integers: 162,915 + 162,916 + 162,917 61,090 + 61,091 + … + 61,097 37,590 + 37,591 + … + 37,602 20,353 + 20,354 + … + 20,376

Aliquot sequence: 488,748 → 751,260 → 1,466,340 → 2,639,580 → 5,404,260 → 9,727,836 → 12,970,476 → 20,656,964 → 15,492,730 → 15,196,550 → 13,069,126 → 9,452,474 → 4,726,240 → 6,583,520 → 9,655,360 → 17,484,032 → 17,713,648 — unresolved within range

Continued fraction of √n

√488,748 = [699; (9, 1, 1, 22, 2, 1, 1, 7, 1, 2, 12, 1, 2, 1, 1, 2, 1, 1, 1, 9, 1, 7, 2, 1, …)]

Representations

In words: four hundred eighty-eight thousand seven hundred forty-eight
Ordinal: 488748th
Binary: 1110111010100101100
Octal: 1672454
Hexadecimal: 0x7752C
Base64: B3Us
One's complement: 4,294,478,547 (32-bit)
Scientific notation: 4.88748 × 10⁵
As a duration: 488,748 s = 5 days, 15 hours, 45 minutes, 48 seconds

In other bases

ternary (3) 220211102210

quaternary (4) 1313110230

quinary (5) 111114443

senary (6) 14250420

septenary (7) 4103631

nonary (9) 824383

undecimal (11) 304227

duodecimal (12) 1b6a10

tridecimal (13) 141600

tetradecimal (14) ca188

pentadecimal (15) 99c33

As an angle

488,748° = 1,357 × 360° + 228°

228° ≈ 3.979 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵υπηψμηʹ
Chinese: 四十八萬八千七百四十八
Chinese (financial): 肆拾捌萬捌仟柒佰肆拾捌

In other modern scripts

Eastern Arabic ٤٨٨٧٤٨ Devanagari ४८८७४८ Bengali ৪৮৮৭৪৮ Tamil ௪௮௮௭௪௮ Thai ๔๘๘๗๔๘ Tibetan ༤༨༨༧༤༨ Khmer ៤៨៨៧៤៨ Lao ໔໘໘໗໔໘ Burmese ၄၈၈၇၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 488748, here are decompositions:

5 + 488743 = 488748
19 + 488729 = 488748
31 + 488717 = 488748
37 + 488711 = 488748
47 + 488701 = 488748
59 + 488689 = 488748
61 + 488687 = 488748
97 + 488651 = 488748

Showing the first eight; more decompositions exist.

Hex color

#07752C

RGB(7, 117, 44)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.7.117.44.

Address: 0.7.117.44
Class: reserved
IPv4-mapped IPv6: ::ffff:0.7.117.44

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 488,748 and was likely granted around 1892.

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

Look up US488,748 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 488748 first appears in π at position 105,142 of the decimal expansion (the 105,142ordinal-suffix:nd 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 488748 on Pi Search ↗