Live analysis

1,004,100

1,004,100 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.).

1,004,100 (one million four thousand one hundred) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3 × 5² × 3,347. Its proper divisors sum to 1,901,964, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF5244.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,004,088 1,004,089 1,004,090 1,004,091 1,004,092 1,004,093 1,004,094 1,004,095 1,004,096 1,004,097 1,004,098 1,004,099 1,004,100 1,004,101 1,004,102 1,004,103 1,004,104 1,004,105 1,004,106 1,004,107 1,004,108 1,004,109 1,004,110 1,004,111 1,004,112

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 6
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 14,001
Square (n²): 1,008,216,810,000
Cube (n³): 1,012,350,498,921,000,000
Divisor count: 36
σ(n) — sum of divisors: 2,906,064
φ(n) — Euler's totient: 267,680
Sum of prime factors: 3,364

Primality

Prime factorization: 2 ² × 3 × 5 ² × 3347

Nearest primes: 1,004,089 (−11) · 1,004,117 (+17)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 5 · 6 · 10 · 12 · 15 · 20 · 25 · 30 · 50 · 60 · 75 · 100 · 150 · 300 · 3347 · 6694 · 10041 · 13388 · 16735 · 20082 · 33470 · 40164 · 50205 · 66940 · 83675 · 100410 · 167350 · 200820 · 251025 · 334700 · 502050 (half) · 1004100

Aliquot sum (sum of proper divisors): 1,901,964

Factor pairs (a × b = 1,004,100)

1 × 1004100

2 × 502050

3 × 334700

4 × 251025

5 × 200820

6 × 167350

10 × 100410

12 × 83675

15 × 66940

20 × 50205

25 × 40164

30 × 33470

50 × 20082

60 × 16735

75 × 13388

100 × 10041

150 × 6694

300 × 3347

First multiples

1,004,100 · 2,008,200 (double) · 3,012,300 · 4,016,400 · 5,020,500 · 6,024,600 · 7,028,700 · 8,032,800 · 9,036,900 · 10,041,000

Sums & aliquot sequence

As consecutive integers: 334,699 + 334,700 + 334,701 200,818 + 200,819 + 200,820 + 200,821 + 200,822 125,509 + 125,510 + … + 125,516 66,933 + 66,934 + … + 66,947

Aliquot sequence: 1,004,100 → 1,901,964 → 2,558,436 → 3,411,276 → 5,488,692 → 8,822,220 → 18,127,668 → 29,006,412 → 38,675,244 → 51,567,020 → 56,723,764 → 48,727,666 → 34,129,934 → 18,035,314 → 11,477,054 → 5,738,530 → 6,238,814 — unresolved within range

Continued fraction of √n

√1,004,100 = [1002; (20, 1, 7, 31, 5, 3, 4, 1, 9, 1, 2, 7, 2, 15, 1, 2, 3, 1, 2, 1, 6, 1, 1, 4, …)]

Representations

In words: one million four thousand one hundred
Ordinal: 1004100th
Binary: 11110101001001000100
Octal: 3651104
Hexadecimal: 0xF5244
Base64: D1JE
One's complement: 4,293,963,195 (32-bit)
Scientific notation: 1.0041 × 10⁶
As a duration: 1,004,100 s = 11 days, 14 hours, 55 minutes

In other bases

ternary (3) 1220000100220

quaternary (4) 3311021010

quinary (5) 224112400

senary (6) 33304340

septenary (7) 11351256

nonary (9) 1800326

undecimal (11) 626439

duodecimal (12) 4050b0

tridecimal (13) 292056

tetradecimal (14) 1c1cd6

pentadecimal (15) 14c7a0

As an angle

1,004,100° = 2,789 × 360° + 60°

60° ≈ 1.047 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic: 𓁨𓆼𓆼𓆼𓆼𓍢
Chinese: 一百萬四千一百
Chinese (financial): 壹佰萬肆仟壹佰

In other modern scripts

Eastern Arabic ١٠٠٤١٠٠ Devanagari १००४१०० Bengali ১০০৪১০০ Tamil ௧௦௦௪௧௦௦ Thai ๑๐๐๔๑๐๐ Tibetan ༡༠༠༤༡༠༠ Khmer ១០០៤១០០ Lao ໑໐໐໔໑໐໐ Burmese ၁၀၀၄၁၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1004100, here are decompositions:

11 + 1004089 = 1004100
23 + 1004077 = 1004100
37 + 1004063 = 1004100
43 + 1004057 = 1004100
47 + 1004053 = 1004100
67 + 1004033 = 1004100
73 + 1004027 = 1004100
137 + 1003963 = 1004100

Showing the first eight; more decompositions exist.

Hex color

#0F5244

RGB(15, 82, 68)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.82.68.

Address: 0.15.82.68
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.82.68

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 1,004,100 and was likely granted around 1911.

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

Look up US1,004,100 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1004100 first appears in π at position 121,558 of the decimal expansion (the 121,558ordinal-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 1004100 on Pi Search ↗