1,409,342

2 × 11 × 29 × 47²

1,409,342 factors as 2 × 11 × 29 × 47^2. Its 24 positive divisors give a proper-divisor sum of 1,028,218, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2 × 11 × 29 × 47^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,437,560

Proper Divisor Sum 1,028,218

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #1409341 ← → #1409357

Radix Representation

Decimal	1409342
Binary	101011000000100111110 (21 bits)
Octal	0o5300476
Hexadecimal	0x15813E

Divisor Catalog (24)

1 2 11 22 29 47 58 94 319 517 638 1,034 1,363 2,209 2,726 4,418 14,993 24,299 29,986 48,598 64,061 128,122 704,671 1,409,342

Collatz Trajectory (155 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

1,409,342 704,671 2,114,014 1,057,007 3,171,022 1,585,511 4,756,534 2,378,267 7,134,802 3,567,401 10,702,204 5,351,102 2,675,551 8,026,654 4,013,327 12,039,982 6,019,991 18,059,974 9,029,987 27,089,962 13,544,981 40,634,944 20,317,472 10,158,736 5,079,368 2,539,684 1,269,842 634,921 1,904,764 952,382 476,191 1,428,574 714,287 2,142,862 1,071,431 3,214,294 1,607,147 4,821,442 2,410,721 7,232,164 3,616,082 1,808,041 5,424,124 2,712,062 1,356,031 4,068,094 2,034,047 6,102,142 3,051,071 9,153,214 4,576,607 13,729,822 6,864,911 20,594,734 10,297,367 30,892,102 15,446,051 46,338,154 23,169,077 69,507,232

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