Live analysis

16,042

16,042 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.).

Deficient Number Harshad / Niven Odious Number Sphenic Number Squarefree

Properties

Parity: Even
Digit count: 5
Digit sum: 13
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 14 bits
Reversed: 24,061
Square (n²): 257,345,764
Cube (n³): 4,128,340,746,088
Divisor count: 8
σ(n) — sum of divisors: 25,956
φ(n) — Euler's totient: 7,392
Sum of prime factors: 632

Primality

Prime factorization: 2 × 13 × 617

Nearest primes: 16,033 (−9) · 16,057 (+15)

Divisors & multiples

All divisors (8)

1 · 2 · 13 · 26 · 617 · 1234 · 8021 (half) · 16042

Aliquot sum (sum of proper divisors): 9,914

Factor pairs (a × b = 16,042)

1 × 16042

2 × 8021

13 × 1234

26 × 617

First multiples

16,042 · 32,084 (double) · 48,126 · 64,168 · 80,210 · 96,252 · 112,294 · 128,336 · 144,378 · 160,420

Sums & aliquot sequence

As a sum of two squares: 61² + 111² = 79² + 99²

As consecutive integers: 4,009 + 4,010 + 4,011 + 4,012 1,228 + 1,229 + … + 1,240 283 + 284 + … + 334

Aliquot sequence: 16,042 → 9,914 → 4,960 → 7,136 → 6,976 → 6,994 → 4,346 → 2,458 → 1,232 → 1,744 → 1,666 → 1,412 → 1,066 → 698 → 352 → 404 → 310 — unresolved within range

Representations

In words: sixteen thousand forty-two
Ordinal: 16042nd
Binary: 11111010101010
Octal: 37252
Hexadecimal: 0x3EAA
Base64: Pqo=
One's complement: 49,493 (16-bit)

In other bases

ternary (3) 211000011

quaternary (4) 3322222

quinary (5) 1003132

senary (6) 202134

septenary (7) 64525

nonary (9) 24004

undecimal (11) 11064

duodecimal (12) 934a

tridecimal (13) 73c0

tetradecimal (14) 5bbc

pentadecimal (15) 4b47

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ιϛμβʹ
Mayan (base 20): 𝋢·𝋠·𝋢·𝋢
Chinese: 一萬六千零四十二
Chinese (financial): 壹萬陸仟零肆拾貳

In other modern scripts

Eastern Arabic ١٦٠٤٢ Devanagari १६०४२ Bengali ১৬০৪২ Tamil ௧௬௦௪௨ Thai ๑๖๐๔๒ Tibetan ༡༦༠༤༢ Khmer ១៦០៤២ Lao ໑໖໐໔໒ Burmese ၁၆၀၄၂

Digit at this position in famous constants

π — Pi (π): Digit 16,042 = 4
e — Euler's number (e): Digit 16,042 = 9
φ — Golden ratio (φ): Digit 16,042 = 2
√2 — Pythagoras's (√2): Digit 16,042 = 8
ln 2 — Natural log of 2: Digit 16,042 = 3
γ — Euler-Mascheroni (γ): Digit 16,042 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 16042, here are decompositions:

41 + 16001 = 16042
71 + 15971 = 16042
83 + 15959 = 16042
233 + 15809 = 16042
239 + 15803 = 16042
251 + 15791 = 16042
269 + 15773 = 16042
281 + 15761 = 16042

Showing the first eight; more decompositions exist.

Unicode codepoint

㺪

CJK Unified Ideograph-3Eaa

U+3EAA

Other letter (Lo)

UTF-8 encoding: E3 BA AA (3 bytes).

Lookup U+3EAA on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#003EAA

RGB(0, 62, 170)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.62.170.

Address: 0.0.62.170
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.62.170

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

Position in π

The digit sequence 16042 first appears in π at position 111,040 of the decimal expansion (the 111,040ordinal-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 16042 on Pi Search ↗