1,005,121

13 × 77317

Starting at 1,005,121, the Collatz iteration reaches 1 after 90 steps. The first transition is 3015364; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 77317

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 1,082,452

Proper Divisor Sum 77,331

Digit Sum / Digital Root 10 (Root: 1)

Adjacent Primes #1005107 ← → #1005131

Radix Representation

Decimal	1005121
Binary	11110101011001000001 (20 bits)
Octal	0o3653101
Hexadecimal	0xF5641

Divisor Catalog (4)

1 13 77,317 1,005,121

Collatz Trajectory (90 steps to reach 1)

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

1,005,121 3,015,364 1,507,682 753,841 2,261,524 1,130,762 565,381 1,696,144 848,072 424,036 212,018 106,009 318,028 159,014 79,507 238,522 119,261 357,784 178,892 89,446 44,723 134,170 67,085 201,256 100,628 50,314 25,157 75,472 37,736 18,868 9,434 4,717 14,152 7,076 3,538 1,769 5,308 2,654 1,327 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

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