λ
Sequence Observatory

4,406,609

587 × 7507
Deficient Odd Composite

Starting at 4,406,609, the Collatz iteration reaches 1 after 149 steps. The first transition is 13219828; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 587 × 7507
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 4,414,704
Proper Divisor Sum 8,095
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4406599 ← → #4406627

Radix Representation

Decimal 4406609
Binary 10000110011110101010001 (23 bits)
Octal 0o20636521
Hexadecimal 0x433D51

Divisor Catalog (4)

1 587 7,507 4,406,609

Collatz Trajectory (149 steps to reach 1)

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

4,406,609 13,219,828 6,609,914 3,304,957 9,914,872 4,957,436 2,478,718 1,239,359 3,718,078 1,859,039 5,577,118 2,788,559 8,365,678 4,182,839 12,548,518 6,274,259 18,822,778 9,411,389 28,234,168 14,117,084 7,058,542 3,529,271 10,587,814 5,293,907 15,881,722 7,940,861 23,822,584 11,911,292 5,955,646 2,977,823 8,933,470 4,466,735 13,400,206 6,700,103 20,100,310 10,050,155 30,150,466 15,075,233 45,225,700 22,612,850 11,306,425 33,919,276 16,959,638 8,479,819 25,439,458 12,719,729 38,159,188 19,079,594 9,539,797 28,619,392 14,309,696 7,154,848 3,577,424 1,788,712 894,356 447,178 223,589 670,768 335,384 167,692

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