3,412,541

11 × 310231

Starting at 3,412,541, the Collatz iteration reaches 1 after 76 steps. The first transition is 10237624; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 310231

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 3,722,784

Proper Divisor Sum 310,243

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #3412537 ← → #3412559

Radix Representation

Decimal	3412541
Binary	1101000001001000111101 (22 bits)
Octal	0o15011075
Hexadecimal	0x34123D

Divisor Catalog (4)

1 11 310,231 3,412,541

Collatz Trajectory (76 steps to reach 1)

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

3,412,541 10,237,624 5,118,812 2,559,406 1,279,703 3,839,110 1,919,555 5,758,666 2,879,333 8,638,000 4,319,000 2,159,500 1,079,750 539,875 1,619,626 809,813 2,429,440 1,214,720 607,360 303,680 151,840 75,920 37,960 18,980 9,490 4,745 14,236 7,118 3,559 10,678 5,339 16,018 8,009 24,028 12,014 6,007 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069 15,208 7,604 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616

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