Live analysis

1,013,728

1,013,728 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.).

1,013,728 (one million thirteen thousand seven hundred twenty-eight) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 79 × 401. Written other ways, in hexadecimal, 0xF77E0.

Arithmetic Number Deficient Number Odious Number Pernicious Number

Interestingness

★ ☆ ☆ ☆ ☆

1 notable fact · grade F

1,013,716 1,013,717 1,013,718 1,013,719 1,013,720 1,013,721 1,013,722 1,013,723 1,013,724 1,013,725 1,013,726 1,013,727 1,013,728 1,013,729 1,013,730 1,013,731 1,013,732 1,013,733 1,013,734 1,013,735 1,013,736 1,013,737 1,013,738 1,013,739 1,013,740

less more

Properties

Parity: Even
Digit count: 7
Digit sum: 22
Digit product: 0
Digital root: 4
Palindrome: No
Bit width: 20 bits
Reversed: 8,273,101
Square (n²): 1,027,644,457,984
Cube (n³): 1,041,751,961,103,204,352
Divisor count: 24
σ(n) — sum of divisors: 2,026,080
φ(n) — Euler's totient: 499,200
Sum of prime factors: 490

Primality

Prime factorization: 2 ⁵ × 79 × 401

Nearest primes: 1,013,717 (−11) · 1,013,729 (+1)

Divisors & multiples

All divisors (24)

1 · 2 · 4 · 8 · 16 · 32 · 79 · 158 · 316 · 401 · 632 · 802 · 1264 · 1604 · 2528 · 3208 · 6416 · 12832 · 31679 · 63358 · 126716 · 253432 · 506864 (half) · 1013728

Aliquot sum (sum of proper divisors): 1,012,352

Factor pairs (a × b = 1,013,728)

1 × 1013728

2 × 506864

4 × 253432

8 × 126716

16 × 63358

32 × 31679

79 × 12832

158 × 6416

316 × 3208

401 × 2528

632 × 1604

802 × 1264

First multiples

1,013,728 · 2,027,456 (double) · 3,041,184 · 4,054,912 · 5,068,640 · 6,082,368 · 7,096,096 · 8,109,824 · 9,123,552 · 10,137,280

Sums & aliquot sequence

As consecutive integers: 15,808 + 15,809 + … + 15,871 12,793 + 12,794 + … + 12,871 2,328 + 2,329 + … + 2,728

Aliquot sequence: 1,013,728 → 1,012,352 → 1,190,848 → 1,278,032 → 1,552,144 → 1,728,896 → 1,983,904 → 2,461,376 → 2,423,044 → 2,413,844 → 1,956,256 → 1,936,388 → 1,569,352 → 1,373,198 → 691,594 → 406,874 → 250,426 — unresolved within range

Continued fraction of √n

√1,013,728 = [1006; (1, 5, 3, 1, 1, 1, 8, 2, 1, 5, 3, 2, 1, 1, 1, 40, 2, 6, 1, 7, 2, 22, 6, 2, …)]

Representations

In words: one million thirteen thousand seven hundred twenty-eight
Ordinal: 1013728th
Binary: 11110111011111100000
Octal: 3673740
Hexadecimal: 0xF77E0
Base64: D3fg
One's complement: 4,293,953,567 (32-bit)
Scientific notation: 1.013728 × 10⁶
As a duration: 1,013,728 s = 11 days, 17 hours, 35 minutes, 28 seconds

In other bases

ternary (3) 1220111120111

quaternary (4) 3313133200

quinary (5) 224414403

senary (6) 33421104

septenary (7) 11421322

nonary (9) 1814514

undecimal (11) 6326a1

duodecimal (12) 40a794

tridecimal (13) 296551

tetradecimal (14) 1c5612

pentadecimal (15) 15056d

As an angle

1,013,728° = 2,815 × 360° + 328°

328° ≈ 5.725 rad

Compass bearing: NNW (north-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese: 一百零一萬三千七百二十八
Chinese (financial): 壹佰零壹萬參仟柒佰貳拾捌

In other modern scripts

Eastern Arabic ١٠١٣٧٢٨ Devanagari १०१३७२८ Bengali ১০১৩৭২৮ Tamil ௧௦௧௩௭௨௮ Thai ๑๐๑๓๗๒๘ Tibetan ༡༠༡༣༧༢༨ Khmer ១០១៣៧២៨ Lao ໑໐໑໓໗໒໘ Burmese ၁၀၁၃၇၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013728, here are decompositions:

11 + 1013717 = 1013728
17 + 1013711 = 1013728
29 + 1013699 = 1013728
41 + 1013687 = 1013728
47 + 1013681 = 1013728
101 + 1013627 = 1013728
197 + 1013531 = 1013728
227 + 1013501 = 1013728

Showing the first eight; more decompositions exist.

Hex color

#0F77E0

RGB(15, 119, 224)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.224.

Address: 0.15.119.224
Class: reserved
IPv4-mapped IPv6: ::ffff:0.15.119.224

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3728 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)

3728-10-01 (MMDYYYY (US, single-digit day))
3728-01-10 (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 1,013,728 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 US1,013,728 on Google Patents ↗ Look up on USPTO ↗