3,284,816

2⁴ × 239 × 859

Starting at 3,284,816, the Collatz iteration reaches 1 after 84 steps. The first transition is 1642408; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 239 × 859

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 6,398,400

Proper Divisor Sum 3,113,584

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3284807 ← → #3284833

Radix Representation

Decimal	3284816
Binary	1100100001111101010000 (22 bits)
Octal	0o14417520
Hexadecimal	0x321F50

Divisor Catalog (20)

1 2 4 8 16 239 478 859 956 1,718 1,912 3,436 3,824 6,872 13,744 205,301 410,602 821,204 1,642,408 3,284,816

Collatz Trajectory (84 steps to reach 1)

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

3,284,816 1,642,408 821,204 410,602 205,301 615,904 307,952 153,976 76,988 38,494 19,247 57,742 28,871 86,614 43,307 129,922 64,961 194,884 97,442 48,721 146,164 73,082 36,541 109,624 54,812 27,406 13,703 41,110 20,555 61,666 30,833 92,500 46,250 23,125 69,376 34,688 17,344 8,672 4,336 2,168 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98

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