Live analysis

42,744

42,744 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.).

42,744 (forty-two thousand seven hundred forty-four) is an even 5-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 13 × 137. Its proper divisors sum to 73,176, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xA6F8.

Abundant Number Odious Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

42,732 42,733 42,734 42,735 42,736 42,737 42,738 42,739 42,740 42,741 42,742 42,743 42,744 42,745 42,746 42,747 42,748 42,749 42,750 42,751 42,752 42,753 42,754 42,755 42,756

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 21
Digit product: 896
Digital root: 3
Palindrome: No
Bit width: 16 bits
Reversed: 44,724
Recamán's sequence: a(73,104) = 42,744
Square (n²): 1,827,049,536
Cube (n³): 78,095,405,366,784
Divisor count: 32
σ(n) — sum of divisors: 115,920
φ(n) — Euler's totient: 13,056
Sum of prime factors: 159

Primality

Prime factorization: 2 ³ × 3 × 13 × 137

Nearest primes: 42,743 (−1) · 42,751 (+7)

Divisors & multiples

All divisors (32)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 13 · 24 · 26 · 39 · 52 · 78 · 104 · 137 · 156 · 274 · 312 · 411 · 548 · 822 · 1096 · 1644 · 1781 · 3288 · 3562 · 5343 · 7124 · 10686 · 14248 · 21372 (half) · 42744

Aliquot sum (sum of proper divisors): 73,176

Factor pairs (a × b = 42,744)

1 × 42744

2 × 21372

3 × 14248

4 × 10686

6 × 7124

8 × 5343

12 × 3562

13 × 3288

24 × 1781

26 × 1644

39 × 1096

52 × 822

78 × 548

104 × 411

137 × 312

156 × 274

First multiples

42,744 · 85,488 (double) · 128,232 · 170,976 · 213,720 · 256,464 · 299,208 · 341,952 · 384,696 · 427,440

Sums & aliquot sequence

As consecutive integers: 14,247 + 14,248 + 14,249 3,282 + 3,283 + … + 3,294 2,664 + 2,665 + … + 2,679 1,077 + 1,078 + … + 1,115

Aliquot sequence: 42,744 → 73,176 → 109,824 → 233,568 → 431,460 → 1,020,060 → 2,155,140 → 5,089,020 → 9,335,460 → 18,315,996 → 24,665,124 → 38,598,188 → 31,278,052 → 28,387,484 → 24,567,796 → 22,523,948 → 16,892,968 — unresolved within range

Continued fraction of √n

√42,744 = [206; (1, 2, 1, 15, 1, 3, 1, 3, 7, 8, 3, 3, 10, 3, 3, 8, 7, 3, 1, 3, 1, 15, 1, 2, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words: forty-two thousand seven hundred forty-four
Ordinal: 42744th
Binary: 1010011011111000
Octal: 123370
Hexadecimal: 0xA6F8
Base64: pvg=
One's complement: 22,791 (16-bit)
Scientific notation: 4.2744 × 10⁴
As a duration: 42,744 s = 11 hours, 52 minutes, 24 seconds

In other bases

ternary (3) 2011122010

quaternary (4) 22123320

quinary (5) 2331434

senary (6) 525520

septenary (7) 235422

nonary (9) 64563

undecimal (11) 2a129

duodecimal (12) 208a0

tridecimal (13) 165c0

tetradecimal (14) 11812

pentadecimal (15) c9e9

As an angle

42,744° = 118 × 360° + 264°

264° ≈ 4.608 rad

Compass bearing: W (west)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵μβψμδʹ
Mayan (base 20): 𝋥·𝋦·𝋱·𝋤
Chinese: 四萬二千七百四十四
Chinese (financial): 肆萬貳仟柒佰肆拾肆

In other modern scripts

Eastern Arabic ٤٢٧٤٤ Devanagari ४२७४४ Bengali ৪২৭৪৪ Tamil ௪௨௭௪௪ Thai ๔๒๗๔๔ Tibetan ༤༢༧༤༤ Khmer ៤២៧៤៤ Lao ໔໒໗໔໔ Burmese ၄၂၇၄၄

Digit at this position in famous constants

π — Pi (π): Digit 42,744 = 0
e — Euler's number (e): Digit 42,744 = 1
φ — Golden ratio (φ): Digit 42,744 = 3
√2 — Pythagoras's (√2): Digit 42,744 = 6
ln 2 — Natural log of 2: Digit 42,744 = 5
γ — Euler-Mascheroni (γ): Digit 42,744 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42744, here are decompositions:

7 + 42737 = 42744
17 + 42727 = 42744
41 + 42703 = 42744
43 + 42701 = 42744
47 + 42697 = 42744
61 + 42683 = 42744
67 + 42677 = 42744
101 + 42643 = 42744

Showing the first eight; more decompositions exist.

Hex color

#00A6F8

RGB(0, 166, 248)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.166.248.

Address: 0.0.166.248
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.166.248

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

Position in π

The digit sequence 42744 first appears in π at position 141,736 of the decimal expansion (the 141,736ordinal-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 42744 on Pi Search ↗