Live analysis

165,004

165,004 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.).

165,004 (one hundred sixty-five thousand four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 71 × 83. Its proper divisors sum to 173,684, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2848C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

164,992 164,993 164,994 164,995 164,996 164,997 164,998 164,999 165,000 165,001 165,002 165,003 165,004 165,005 165,006 165,007 165,008 165,009 165,010 165,011 165,012 165,013 165,014 165,015 165,016

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 16
Digit product: 0
Digital root: 7
Palindrome: No
Bit width: 18 bits
Reversed: 400,561
Square (n²): 27,226,320,016
Cube (n³): 4,492,451,707,920,064
Divisor count: 24
σ(n) — sum of divisors: 338,688
φ(n) — Euler's totient: 68,880
Sum of prime factors: 165

Primality

Prime factorization: 2 ² × 7 × 71 × 83

Nearest primes: 165,001 (−3) · 165,037 (+33)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 7 · 14 · 28 · 71 · 83 · 142 · 166 · 284 · 332 · 497 · 581 · 994 · 1162 · 1988 · 2324 · 5893 · 11786 · 23572 · 41251 · 82502 (half) · 165004

Aliquot sum (sum of proper divisors): 173,684

Factor pairs (a × b = 165,004)

1 × 165004

2 × 82502

4 × 41251

7 × 23572

14 × 11786

28 × 5893

71 × 2324

83 × 1988

142 × 1162

166 × 994

284 × 581

332 × 497

First multiples

165,004 · 330,008 (double) · 495,012 · 660,016 · 825,020 · 990,024 · 1,155,028 · 1,320,032 · 1,485,036 · 1,650,040

Sums & aliquot sequence

As consecutive integers: 23,569 + 23,570 + … + 23,575 20,622 + 20,623 + … + 20,629 2,919 + 2,920 + … + 2,974 2,289 + 2,290 + … + 2,359

Aliquot sequence: 165,004 → 173,684 → 173,740 → 273,812 → 339,052 → 339,108 → 650,076 → 1,124,004 → 1,873,564 → 2,371,796 → 2,456,902 → 1,754,954 → 1,016,086 → 526,658 → 359,806 → 179,906 → 101,758 — unresolved within range

Continued fraction of √n

√165,004 = [406; (4, 1, 5, 22, 2, 1, 1, 6, 1, 5, 1, 9, 5, 1, 2, 2, 1, 6, 14, 1, 1, 1, 1, 1, …)]

Representations

In words: one hundred sixty-five thousand four
Ordinal: 165004th
Binary: 101000010010001100
Octal: 502214
Hexadecimal: 0x2848C
Base64: AoSM
One's complement: 4,294,802,291 (32-bit)
Scientific notation: 1.65004 × 10⁵
As a duration: 165,004 s = 1 day, 21 hours, 50 minutes, 4 seconds

In other bases

ternary (3) 22101100021

quaternary (4) 220102030

quinary (5) 20240004

senary (6) 3311524

septenary (7) 1255030

nonary (9) 271307

undecimal (11) 102a74

duodecimal (12) 7b5a4

tridecimal (13) 5a148

tetradecimal (14) 441c0

pentadecimal (15) 33d54

As an angle

165,004° = 458 × 360° + 124°

124° ≈ 2.164 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ρξεδʹ
Chinese: 一十六萬五千零四
Chinese (financial): 壹拾陸萬伍仟零肆

In other modern scripts

Eastern Arabic ١٦٥٠٠٤ Devanagari १६५००४ Bengali ১৬৫০০৪ Tamil ௧௬௫௦௦௪ Thai ๑๖๕๐๐๔ Tibetan ༡༦༥༠༠༤ Khmer ១៦៥០០៤ Lao ໑໖໕໐໐໔ Burmese ၁၆၅၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 165004, here are decompositions:

3 + 165001 = 165004
5 + 164999 = 165004
17 + 164987 = 165004
41 + 164963 = 165004
167 + 164837 = 165004
173 + 164831 = 165004
233 + 164771 = 165004
383 + 164621 = 165004

Showing the first eight; more decompositions exist.

Unicode codepoint

𨒌

CJK Unified Ideograph-2848C

U+2848C

Other letter (Lo)

UTF-8 encoding: F0 A8 92 8C (4 bytes).

Lookup U+2848C on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#02848C

RGB(2, 132, 140)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.132.140.

Address: 0.2.132.140
Class: reserved
IPv4-mapped IPv6: ::ffff:0.2.132.140

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 165,004 and was likely granted around 1874.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US165,004 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 165004 first appears in π at position 583,728 of the decimal expansion (the 583,728ordinal-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 165004 on Pi Search ↗