Live analysis

42,624

42,624 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.).

42,624 (forty-two thousand six hundred twenty-four) is an even 5-digit number. It is a composite number with 48 divisors, and factors as 2⁷ × 3² × 37. Its proper divisors sum to 83,346, more than the number itself, making it an abundant number. Its digits read the same forwards and backwards, so it is a palindromic number. Written other ways, in hexadecimal, 0xA680.

Abundant Number Harshad / Niven Odious Number Palindrome Pernicious Number Practical Number Recamán's Sequence Refactorable Number Semiperfect Number Zuckerman Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

42,612 42,613 42,614 42,615 42,616 42,617 42,618 42,619 42,620 42,621 42,622 42,623 42,624 42,625 42,626 42,627 42,628 42,629 42,630 42,631 42,632 42,633 42,634 42,635 42,636

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 18
Digit product: 384
Digital root: 9
Palindrome: Yes
Bit width: 16 bits
Recamán's sequence: a(73,344) = 42,624
Square (n²): 1,816,805,376
Cube (n³): 77,439,512,346,624
Divisor count: 48
σ(n) — sum of divisors: 125,970
φ(n) — Euler's totient: 13,824
Sum of prime factors: 57

Primality

Prime factorization: 2 ⁷ × 3 ² × 37

Nearest primes: 42,611 (−13) · 42,641 (+17)

Divisors & multiples

All divisors (48)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 32 · 36 · 37 · 48 · 64 · 72 · 74 · 96 · 111 · 128 · 144 · 148 · 192 · 222 · 288 · 296 · 333 · 384 · 444 · 576 · 592 · 666 · 888 · 1152 · 1184 · 1332 · 1776 · 2368 · 2664 · 3552 · 4736 · 5328 · 7104 · 10656 · 14208 · 21312 (half) · 42624

Aliquot sum (sum of proper divisors): 83,346

Factor pairs (a × b = 42,624)

1 × 42624

2 × 21312

3 × 14208

4 × 10656

6 × 7104

8 × 5328

9 × 4736

12 × 3552

16 × 2664

18 × 2368

24 × 1776

32 × 1332

36 × 1184

37 × 1152

48 × 888

64 × 666

72 × 592

74 × 576

96 × 444

111 × 384

128 × 333

144 × 296

148 × 288

192 × 222

First multiples

42,624 · 85,248 (double) · 127,872 · 170,496 · 213,120 · 255,744 · 298,368 · 340,992 · 383,616 · 426,240

Sums & aliquot sequence

As a sum of two squares: 120² + 168²

As consecutive integers: 14,207 + 14,208 + 14,209 4,732 + 4,733 + … + 4,740 1,134 + 1,135 + … + 1,170 329 + 330 + … + 439

Aliquot sequence: 42,624 → 83,346 → 89,454 → 100,194 → 100,206 → 129,114 → 160,560 → 381,072 → 663,504 → 1,128,048 → 1,836,048 → 3,074,352 → 5,288,208 → 8,968,320 → 23,244,300 → 51,490,500 → 98,454,204 — unresolved within range

Continued fraction of √n

√42,624 = [206; (2, 5, 6, 2, 1, 2, 5, 2, 3, 1, 8, 103, 8, 1, 3, 2, 5, 2, 1, 2, 6, 5, 2, 412)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words: forty-two thousand six hundred twenty-four
Ordinal: 42624th
Binary: 1010011010000000
Octal: 123200
Hexadecimal: 0xA680
Base64: poA=
One's complement: 22,911 (16-bit)
Scientific notation: 4.2624 × 10⁴
As a duration: 42,624 s = 11 hours, 50 minutes, 24 seconds

In other bases

ternary (3) 2011110200

quaternary (4) 22122000

quinary (5) 2330444

senary (6) 525200

septenary (7) 235161

nonary (9) 64420

undecimal (11) 2a02a

duodecimal (12) 20800

tridecimal (13) 1652a

tetradecimal (14) 11768

pentadecimal (15) c969

As an angle

42,624° = 118 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵μβχκδʹ
Mayan (base 20): 𝋥·𝋦·𝋫·𝋤
Chinese: 四萬二千六百二十四
Chinese (financial): 肆萬貳仟陸佰貳拾肆

In other modern scripts

Eastern Arabic ٤٢٦٢٤ Devanagari ४२६२४ Bengali ৪২৬২৪ Tamil ௪௨௬௨௪ Thai ๔๒๖๒๔ Tibetan ༤༢༦༢༤ Khmer ៤២៦២៤ Lao ໔໒໖໒໔ Burmese ၄၂၆၂၄

Digit at this position in famous constants

π — Pi (π): Digit 42,624 = 2
e — Euler's number (e): Digit 42,624 = 0
φ — Golden ratio (φ): Digit 42,624 = 4
√2 — Pythagoras's (√2): Digit 42,624 = 7
ln 2 — Natural log of 2: Digit 42,624 = 8
γ — Euler-Mascheroni (γ): Digit 42,624 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42624, here are decompositions:

13 + 42611 = 42624
47 + 42577 = 42624
53 + 42571 = 42624
67 + 42557 = 42624
137 + 42487 = 42624
151 + 42473 = 42624
157 + 42467 = 42624
163 + 42461 = 42624

Showing the first eight; more decompositions exist.

Unicode codepoint

Ꚁ

Cyrillic Capital Letter Dwe

U+A680

Uppercase letter (Lu)

UTF-8 encoding: EA 9A 80 (3 bytes).

Lookup U+A680 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00A680

RGB(0, 166, 128)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.166.128.

Address: 0.0.166.128
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.166.128

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

Position in π

The digit sequence 42624 first appears in π at position 3,932 of the decimal expansion (the 3,932ordinal-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 42624 on Pi Search ↗