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

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

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)
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

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
Cyrillic Capital Letter Dwe
U+A680
Uppercase letter (Lu)

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

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.