λ
Integer Codex

3,412,536

23 × 3 × 142189
Abundant Even Composite

For 3,412,536, the 16 positive divisors have a total of 8,531,400. Removing 3,412,536 leaves 5,118,864, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 142189
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,531,400
Proper Divisor Sum 5,118,864
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #3412499 ← → #3412537

Radix Representation

Decimal 3412536
Binary 1101000001001000111000 (22 bits)
Octal 0o15011070
Hexadecimal 0x341238

Divisor Catalog (16)

1 2 3 4 6 8 12 24 142,189 284,378 426,567 568,756 853,134 1,137,512 1,706,268 3,412,536

Collatz Trajectory (76 steps to reach 1)

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

3,412,536 1,706,268 853,134 426,567 1,279,702 639,851 1,919,554 959,777 2,879,332 1,439,666 719,833 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

More profiles

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