Live analysis

42,684

42,684 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.).

42,684 (forty-two thousand six hundred eighty-four) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 3,557. Its proper divisors sum to 56,940, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xA6BC.

Abundant Number Arithmetic Number Cube-Free Odious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

42,672 42,673 42,674 42,675 42,676 42,677 42,678 42,679 42,680 42,681 42,682 42,683 42,684 42,685 42,686 42,687 42,688 42,689 42,690 42,691 42,692 42,693 42,694 42,695 42,696

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 24
Digit product: 1,536
Digital root: 6
Palindrome: No
Bit width: 16 bits
Reversed: 48,624
Recamán's sequence: a(73,224) = 42,684
Square (n²): 1,821,923,856
Cube (n³): 77,766,997,869,504
Divisor count: 12
σ(n) — sum of divisors: 99,624
φ(n) — Euler's totient: 14,224
Sum of prime factors: 3,564

Primality

Prime factorization: 2 ² × 3 × 3557

Nearest primes: 42,683 (−1) · 42,689 (+5)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 3557 · 7114 · 10671 · 14228 · 21342 (half) · 42684

Aliquot sum (sum of proper divisors): 56,940

Factor pairs (a × b = 42,684)

1 × 42684

2 × 21342

3 × 14228

4 × 10671

6 × 7114

12 × 3557

First multiples

42,684 · 85,368 (double) · 128,052 · 170,736 · 213,420 · 256,104 · 298,788 · 341,472 · 384,156 · 426,840

Sums & aliquot sequence

As consecutive integers: 14,227 + 14,228 + 14,229 5,332 + 5,333 + … + 5,339 1,767 + 1,768 + … + 1,790

Aliquot sequence: 42,684 → 56,940 → 117,108 → 179,006 → 108,274 → 58,046 → 29,026 → 16,478 → 14,626 → 7,838 → 3,922 → 2,234 → 1,120 → 1,904 → 2,560 → 3,578 → 1,792 — unresolved within range

Continued fraction of √n

√42,684 = [206; (1, 1, 1, 1, 36, 1, 26, 1, 1, 2, 1, 9, 1, 1, 1, 1, 2, 16, 6, 1, 16, 2, 1, 3, …)]

Representations

In words: forty-two thousand six hundred eighty-four
Ordinal: 42684th
Binary: 1010011010111100
Octal: 123274
Hexadecimal: 0xA6BC
Base64: prw=
One's complement: 22,851 (16-bit)
Scientific notation: 4.2684 × 10⁴
As a duration: 42,684 s = 11 hours, 51 minutes, 24 seconds

In other bases

ternary (3) 2011112220

quaternary (4) 22122330

quinary (5) 2331214

senary (6) 525340

septenary (7) 235305

nonary (9) 64486

undecimal (11) 2a084

duodecimal (12) 20850

tridecimal (13) 16575

tetradecimal (14) 117ac

pentadecimal (15) c9a9

As an angle

42,684° = 118 × 360° + 204°

204° ≈ 3.56 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵μβχπδʹ
Mayan (base 20): 𝋥·𝋦·𝋮·𝋤
Chinese: 四萬二千六百八十四
Chinese (financial): 肆萬貳仟陸佰捌拾肆

In other modern scripts

Eastern Arabic ٤٢٦٨٤ Devanagari ४२६८४ Bengali ৪২৬৮৪ Tamil ௪௨௬௮௪ Thai ๔๒๖๘๔ Tibetan ༤༢༦༨༤ Khmer ៤២៦៨៤ Lao ໔໒໖໘໔ Burmese ၄၂၆၈၄

Digit at this position in famous constants

π — Pi (π): Digit 42,684 = 2
e — Euler's number (e): Digit 42,684 = 4
φ — Golden ratio (φ): Digit 42,684 = 5
√2 — Pythagoras's (√2): Digit 42,684 = 3
ln 2 — Natural log of 2: Digit 42,684 = 0
γ — Euler-Mascheroni (γ): Digit 42,684 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42684, here are decompositions:

7 + 42677 = 42684
17 + 42667 = 42684
41 + 42643 = 42684
43 + 42641 = 42684
73 + 42611 = 42684
107 + 42577 = 42684
113 + 42571 = 42684
127 + 42557 = 42684

Showing the first eight; more decompositions exist.

Unicode codepoint

ꚼ

Bamum Letter Nuae

U+A6BC

Other letter (Lo)

UTF-8 encoding: EA 9A BC (3 bytes).

Lookup U+A6BC on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00A6BC

RGB(0, 166, 188)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.166.188.

Address: 0.0.166.188
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.166.188

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 42684 first appears in π at position 67,467 of the decimal expansion (the 67,467ordinal-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 42684 on Pi Search ↗