λ
Sequence Observatory

1,529,513

1529513
Deficient Odd Prime

Starting at 1,529,513, the Collatz iteration reaches 1 after 106 steps. The first transition is 4588540; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 1529513
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,529,514
Proper Divisor Sum 1
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1529503 ← → #1529531

Radix Representation

Decimal 1529513
Binary 101110101011010101001 (21 bits)
Octal 0o5653251
Hexadecimal 0x1756A9

Divisor Catalog (2)

Collatz Trajectory (106 steps to reach 1)

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

1,529,513 4,588,540 2,294,270 1,147,135 3,441,406 1,720,703 5,162,110 2,581,055 7,743,166 3,871,583 11,614,750 5,807,375 17,422,126 8,711,063 26,133,190 13,066,595 39,199,786 19,599,893 58,799,680 29,399,840 14,699,920 7,349,960 3,674,980 1,837,490 918,745 2,756,236 1,378,118 689,059 2,067,178 1,033,589 3,100,768 1,550,384 775,192 387,596 193,798 96,899 290,698 145,349 436,048 218,024 109,012 54,506 27,253 81,760 40,880 20,440 10,220 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706

More profiles

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