3,354,464

2⁵ × 104827

Starting at 3,354,464, the Collatz iteration reaches 1 after 115 steps. The first transition is 1677232; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 104827

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,604,164

Proper Divisor Sum 3,249,700

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3354443 ← → #3354467

Radix Representation

Decimal	3354464
Binary	1100110010111101100000 (22 bits)
Octal	0o14627540
Hexadecimal	0x332F60

Divisor Catalog (12)

1 2 4 8 16 32 104,827 209,654 419,308 838,616 1,677,232 3,354,464

Collatz Trajectory (115 steps to reach 1)

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

3,354,464 1,677,232 838,616 419,308 209,654 104,827 314,482 157,241 471,724 235,862 117,931 353,794 176,897 530,692 265,346 132,673 398,020 199,010 99,505 298,516 149,258 74,629 223,888 111,944 55,972 27,986 13,993 41,980 20,990 10,495 31,486 15,743 47,230 23,615 70,846 35,423 106,270 53,135 159,406 79,703 239,110 119,555 358,666 179,333 538,000 269,000 134,500 67,250 33,625 100,876 50,438 25,219 75,658 37,829 113,488 56,744 28,372 14,186 7,093 21,280

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