Live analysis

1,013,076

1,013,076 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.).

1,013,076 (one million thirteen thousand seventy-six) is an even 7-digit number. It is a composite number with 36 divisors, and factors as 2² × 3² × 107 × 263. Its proper divisors sum to 1,581,516, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7554.

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

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

1,013,064 1,013,065 1,013,066 1,013,067 1,013,068 1,013,069 1,013,070 1,013,071 1,013,072 1,013,073 1,013,074 1,013,075 1,013,076 1,013,077 1,013,078 1,013,079 1,013,080 1,013,081 1,013,082 1,013,083 1,013,084 1,013,085 1,013,086 1,013,087 1,013,088

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 18
Digit product: 0
Digital root: 9
Palindrome: No
Bit width: 20 bits
Reversed: 6,703,101
Square (n²): 1,026,322,981,776
Cube (n³): 1,039,743,181,085,702,976
Divisor count: 36
σ(n) — sum of divisors: 2,594,592
φ(n) — Euler's totient: 333,264
Sum of prime factors: 380

Primality

Prime factorization: 2 ² × 3 ² × 107 × 263

Nearest primes: 1,013,063 (−13) · 1,013,143 (+67)

Divisors & multiples

All divisors (36)

1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 107 · 214 · 263 · 321 · 428 · 526 · 642 · 789 · 963 · 1052 · 1284 · 1578 · 1926 · 2367 · 3156 · 3852 · 4734 · 9468 · 28141 · 56282 · 84423 · 112564 · 168846 · 253269 · 337692 · 506538 (half) · 1013076

Aliquot sum (sum of proper divisors): 1,581,516

Factor pairs (a × b = 1,013,076)

1 × 1013076

2 × 506538

3 × 337692

4 × 253269

6 × 168846

9 × 112564

12 × 84423

18 × 56282

36 × 28141

107 × 9468

214 × 4734

263 × 3852

321 × 3156

428 × 2367

526 × 1926

642 × 1578

789 × 1284

963 × 1052

First multiples

1,013,076 · 2,026,152 (double) · 3,039,228 · 4,052,304 · 5,065,380 · 6,078,456 · 7,091,532 · 8,104,608 · 9,117,684 · 10,130,760

Sums & aliquot sequence

As consecutive integers: 337,691 + 337,692 + 337,693 126,631 + 126,632 + … + 126,638 112,560 + 112,561 + … + 112,568 42,200 + 42,201 + … + 42,223

Aliquot sequence: 1,013,076 → 1,581,516 → 2,454,516 → 3,909,324 → 5,212,460 → 8,093,140 → 10,448,012 → 7,836,016 → 7,397,384 → 7,571,416 → 7,242,584 → 6,381,616 → 6,169,416 → 10,656,984 → 18,035,736 → 28,155,864 → 51,988,776 — unresolved within range

Continued fraction of √n

√1,013,076 = [1006; (1, 1, 14, 2, 2, 3, 6, 4, 7, 1, 1, 125, 3, 1, 1, 5, 2, 2, 18, 2, 2, 5, 1, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: one million thirteen thousand seventy-six
Ordinal: 1013076th
Binary: 11110111010101010100
Octal: 3672524
Hexadecimal: 0xF7554
Base64: D3VU
One's complement: 4,293,954,219 (32-bit)
Scientific notation: 1.013076 × 10⁶
As a duration: 1,013,076 s = 11 days, 17 hours, 24 minutes, 36 seconds

In other bases

ternary (3) 1220110200100

quaternary (4) 3313111110

quinary (5) 224404301

senary (6) 33414100

septenary (7) 11416401

nonary (9) 1813610

undecimal (11) 632159

duodecimal (12) 40a330

tridecimal (13) 29616c

tetradecimal (14) 1c52a8

pentadecimal (15) 150286

As an angle

1,013,076° = 2,814 × 360° + 36°

36° ≈ 0.628 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千零七十六
Chinese (financial): 壹佰零壹萬參仟零柒拾陸

In other modern scripts

Eastern Arabic ١٠١٣٠٧٦ Devanagari १०१३०७६ Bengali ১০১৩০৭৬ Tamil ௧௦௧௩௦௭௬ Thai ๑๐๑๓๐๗๖ Tibetan ༡༠༡༣༠༧༦ Khmer ១០១៣០៧៦ Lao ໑໐໑໓໐໗໖ Burmese ၁၀၁၃၀၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013076, here are decompositions:

13 + 1013063 = 1013076
23 + 1013053 = 1013076
47 + 1013029 = 1013076
67 + 1013009 = 1013076
73 + 1013003 = 1013076
79 + 1012997 = 1013076
83 + 1012993 = 1013076
109 + 1012967 = 1013076

Showing the first eight; more decompositions exist.

Hex color

#0F7554

RGB(15, 117, 84)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.117.84.

Address: 0.15.117.84
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.117.84

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3076 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3076-10-01 (MMDYYYY (US, single-digit day))
3076-01-10 (DDMYYYY (Euro, single-digit month))

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 1,013,076 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 US1,013,076 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 1013076 first appears in π at position 493,175 of the decimal expansion (the 493,175ordinal-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 1013076 on Pi Search ↗