λ
Sequence Observatory

1,059,621

3 × 107 × 3301
Deficient Odd Composite

Starting at 1,059,621, the Collatz iteration reaches 1 after 121 steps. The first transition is 3178864; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 107 × 3301
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,426,464
Proper Divisor Sum 366,843
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1059613 ← → #1059637

Radix Representation

Decimal 1059621
Binary 100000010101100100101 (21 bits)
Octal 0o4025445
Hexadecimal 0x102B25

Divisor Catalog (8)

1 3 107 321 3,301 9,903 353,207 1,059,621

Collatz Trajectory (121 steps to reach 1)

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

1,059,621 3,178,864 1,589,432 794,716 397,358 198,679 596,038 298,019 894,058 447,029 1,341,088 670,544 335,272 167,636 83,818 41,909 125,728 62,864 31,432 15,716 7,858 3,929 11,788 5,894 2,947 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132

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