λ
Sigma Notebook

1,507,941

32 × 131 × 1279
Deficient Odd Composite

1,507,941 is odd and not a perfect square. Its factorization is 3^2 × 131 × 1279 and its 12 divisors sum to 2,196,480.

Prime Factor Structure

Factorization String 3^2 × 131 × 1279
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,196,480
Proper Divisor Sum 688,539
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1507921 ← → #1507993

Radix Representation

Decimal 1507941
Binary 101110000001001100101 (21 bits)
Octal 0o5601145
Hexadecimal 0x170265

Divisor Catalog (12)

1 3 9 131 393 1,179 1,279 3,837 11,511 167,549 502,647 1,507,941

Collatz Trajectory (88 steps to reach 1)

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

1,507,941 4,523,824 2,261,912 1,130,956 565,478 282,739 848,218 424,109 1,272,328 636,164 318,082 159,041 477,124 238,562 119,281 357,844 178,922 89,461 268,384 134,192 67,096 33,548 16,774 8,387 25,162 12,581 37,744 18,872 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266

More profiles

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