Live analysis

1,002,138

1,002,138 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.).

1,002,138 (one million two thousand one hundred thirty-eight) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 167,023. Its proper divisors sum to 1,002,150, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF4A9A.

Abundant Number Arithmetic Number Cube-Free Happy Number Odious Number Pernicious Number Semiperfect Number Sphenic Number Squarefree

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

1,002,126 1,002,127 1,002,128 1,002,129 1,002,130 1,002,131 1,002,132 1,002,133 1,002,134 1,002,135 1,002,136 1,002,137 1,002,138 1,002,139 1,002,140 1,002,141 1,002,142 1,002,143 1,002,144 1,002,145 1,002,146 1,002,147 1,002,148 1,002,149 1,002,150

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 20 bits
Reversed: 8,312,001
Square (n²): 1,004,280,571,044
Cube (n³): 1,006,427,722,904,892,072
Divisor count: 8
σ(n) — sum of divisors: 2,004,288
φ(n) — Euler's totient: 334,044
Sum of prime factors: 167,028

Primality

Prime factorization: 2 × 3 × 167023

Nearest primes: 1,002,121 (−17) · 1,002,143 (+5)

Divisors & multiples

All divisors (8)

1 · 2 · 3 · 6 · 167023 · 334046 · 501069 (half) · 1002138

Aliquot sum (sum of proper divisors): 1,002,150

Factor pairs (a × b = 1,002,138)

1 × 1002138

2 × 501069

3 × 334046

6 × 167023

First multiples

1,002,138 · 2,004,276 (double) · 3,006,414 · 4,008,552 · 5,010,690 · 6,012,828 · 7,014,966 · 8,017,104 · 9,019,242 · 10,021,380

Sums & aliquot sequence

As consecutive integers: 334,045 + 334,046 + 334,047 250,533 + 250,534 + 250,535 + 250,536 83,506 + 83,507 + … + 83,517

Aliquot sequence: 1,002,138 → 1,002,150 → 1,870,434 → 2,182,212 → 3,334,026 → 3,334,038 → 3,497,178 → 3,865,542 → 3,865,554 → 6,580,206 → 7,676,946 → 9,193,518 → 10,725,810 → 16,531,662 → 21,255,090 → 30,035,406 → 30,174,594 — unresolved within range

Continued fraction of √n

√1,002,138 = [1001; (14, 1, 1, 1, 1, 2, 3, 285, 1, 2, 1, 1, 1, 1, 1, 14, 1, 8, 1, 39, 1, 24, 2, 1, …)]

Representations

In words: one million two thousand one hundred thirty-eight
Ordinal: 1002138th
Binary: 11110100101010011010
Octal: 3645232
Hexadecimal: 0xF4A9A
Base64: D0qa
One's complement: 4,293,965,157 (32-bit)
Scientific notation: 1.002138 × 10⁶
As a duration: 1,002,138 s = 11 days, 14 hours, 22 minutes, 18 seconds

In other bases

ternary (3) 1212220200020

quaternary (4) 3310222122

quinary (5) 224032023

senary (6) 33251310

septenary (7) 11342454

nonary (9) 1786606

undecimal (11) 624a15

duodecimal (12) 403b36

tridecimal (13) 2911a7

tetradecimal (14) 1c12d4

pentadecimal (15) 14bde3

As an angle

1,002,138° = 2,783 × 360° + 258°

258° ≈ 4.503 rad

Compass bearing: WSW (west-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百萬二千一百三十八
Chinese (financial): 壹佰萬貳仟壹佰參拾捌

In other modern scripts

Eastern Arabic ١٠٠٢١٣٨ Devanagari १००२१३८ Bengali ১০০২১৩৮ Tamil ௧௦௦௨௧௩௮ Thai ๑๐๐๒๑๓๘ Tibetan ༡༠༠༢༡༣༨ Khmer ១០០២១៣៨ Lao ໑໐໐໒໑໓໘ Burmese ၁၀၀၂၁၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1002138, here are decompositions:

17 + 1002121 = 1002138
29 + 1002109 = 1002138
37 + 1002101 = 1002138
47 + 1002091 = 1002138
61 + 1002077 = 1002138
89 + 1002049 = 1002138
149 + 1001989 = 1002138
157 + 1001981 = 1002138

Showing the first eight; more decompositions exist.

Hex color

#0F4A9A

RGB(15, 74, 154)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.74.154.

Address: 0.15.74.154
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.74.154

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 1,002,138 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 US1,002,138 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1002138 first appears in π at position 206,956 of the decimal expansion (the 206,956ordinal-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 1002138 on Pi Search ↗