3,469,412

2² × 23 × 43 × 877

Starting at 3,469,412, the Collatz iteration reaches 1 after 146 steps. The first transition is 1734706; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 23 × 43 × 877

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,490,176

Proper Divisor Sum 3,020,764

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3469393 ← → #3469421

Radix Representation

Decimal	3469412
Binary	1101001111000001100100 (22 bits)
Octal	0o15170144
Hexadecimal	0x34F064

Divisor Catalog (24)

1 2 4 23 43 46 86 92 172 877 989 1,754 1,978 3,508 3,956 20,171 37,711 40,342 75,422 80,684 150,844 867,353 1,734,706 3,469,412

Collatz Trajectory (146 steps to reach 1)

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

3,469,412 1,734,706 867,353 2,602,060 1,301,030 650,515 1,951,546 975,773 2,927,320 1,463,660 731,830 365,915 1,097,746 548,873 1,646,620 823,310 411,655 1,234,966 617,483 1,852,450 926,225 2,778,676 1,389,338 694,669 2,084,008 1,042,004 521,002 260,501 781,504 390,752 195,376 97,688 48,844 24,422 12,211 36,634 18,317 54,952 27,476 13,738 6,869 20,608 10,304 5,152 2,576 1,288 644 322 161 484 242 121 364 182 91 274 137 412 206 103

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