Live analysis

42,516

42,516 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.).

42,516 (forty-two thousand five hundred sixteen) is an even 5-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 1,181. Its proper divisors sum to 65,046, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xA614.

Abundant Number Cube-Free Evil Number Happy Number Harshad / Niven Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

42,504 42,505 42,506 42,507 42,508 42,509 42,510 42,511 42,512 42,513 42,514 42,515 42,516 42,517 42,518 42,519 42,520 42,521 42,522 42,523 42,524 42,525 42,526 42,527 42,528

less more

Properties

Parity: Even
Digit count: 5
Digit sum: 18
Digit product: 240
Digital root: 9
Palindrome: No
Bit width: 16 bits
Reversed: 61,524
Square (n²): 1,807,610,256
Cube (n³): 76,852,357,644,096
Divisor count: 18
σ(n) — sum of divisors: 107,562
φ(n) — Euler's totient: 14,160
Sum of prime factors: 1,191

Primality

Prime factorization: 2 ² × 3 ² × 1181

Nearest primes: 42,509 (−7) · 42,533 (+17)

Divisors & multiples

All divisors (18)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 1181 · 2362 · 3543 · 4724 · 7086 · 10629 · 14172 · 21258 (half) · 42516

Aliquot sum (sum of proper divisors): 65,046

Factor pairs (a × b = 42,516)

1 × 42516

2 × 21258

3 × 14172

4 × 10629

6 × 7086

9 × 4724

12 × 3543

18 × 2362

36 × 1181

First multiples

42,516 · 85,032 (double) · 127,548 · 170,064 · 212,580 · 255,096 · 297,612 · 340,128 · 382,644 · 425,160

Sums & aliquot sequence

As a sum of two squares: 30² + 204²

As consecutive integers: 14,171 + 14,172 + 14,173 5,311 + 5,312 + … + 5,318 4,720 + 4,721 + … + 4,728 1,760 + 1,761 + … + 1,783

Aliquot sequence: 42,516 → 65,046 → 69,018 → 69,030 → 127,530 → 232,830 → 422,370 → 825,786 → 1,101,594 → 1,357,926 → 1,517,898 → 1,517,910 → 2,318,250 → 4,016,598 → 4,016,610 → 7,233,174 → 9,644,778 — unresolved within range

Continued fraction of √n

√42,516 = [206; (5, 6, 1, 1, 3, 1, 1, 1, 2, 4, 2, 8, 1, 2, 1, 1, 17, 2, 1, 4, 5, 1, 1, 2, …)]

Representations

In words: forty-two thousand five hundred sixteen
Ordinal: 42516th
Binary: 1010011000010100
Octal: 123024
Hexadecimal: 0xA614
Base64: phQ=
One's complement: 23,019 (16-bit)
Scientific notation: 4.2516 × 10⁴
As a duration: 42,516 s = 11 hours, 48 minutes, 36 seconds

In other bases

ternary (3) 2011022200

quaternary (4) 22120110

quinary (5) 2330031

senary (6) 524500

septenary (7) 234645

nonary (9) 64280

undecimal (11) 29a41

duodecimal (12) 20730

tridecimal (13) 16476

tetradecimal (14) 116cc

pentadecimal (15) c8e6

As an angle

42,516° = 118 × 360° + 36°

36° ≈ 0.628 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓂍𓂍𓂍𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian): ͵μβφιϛʹ
Mayan (base 20): 𝋥·𝋦·𝋥·𝋰
Chinese: 四萬二千五百一十六
Chinese (financial): 肆萬貳仟伍佰壹拾陸

In other modern scripts

Eastern Arabic ٤٢٥١٦ Devanagari ४२५१६ Bengali ৪২৫১৬ Tamil ௪௨௫௧௬ Thai ๔๒๕๑๖ Tibetan ༤༢༥༡༦ Khmer ៤២៥១៦ Lao ໔໒໕໑໖ Burmese ၄၂၅၁၆

Digit at this position in famous constants

π — Pi (π): Digit 42,516 = 3
e — Euler's number (e): Digit 42,516 = 3
φ — Golden ratio (φ): Digit 42,516 = 5
√2 — Pythagoras's (√2): Digit 42,516 = 0
ln 2 — Natural log of 2: Digit 42,516 = 2
γ — Euler-Mascheroni (γ): Digit 42,516 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 42516, here are decompositions:

7 + 42509 = 42516
17 + 42499 = 42516
29 + 42487 = 42516
43 + 42473 = 42516
53 + 42463 = 42516
59 + 42457 = 42516
73 + 42443 = 42516
79 + 42437 = 42516

Showing the first eight; more decompositions exist.

Unicode codepoint

ꘔ

Vai Symbol Keeng

U+A614

Other letter (Lo)

UTF-8 encoding: EA 98 94 (3 bytes).

Lookup U+A614 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00A614

RGB(0, 166, 20)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.166.20.

Address: 0.0.166.20
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.166.20

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

Position in π

The digit sequence 42516 first appears in π at position 48,185 of the decimal expansion (the 48,185ordinal-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 42516 on Pi Search ↗