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3,486,456

23 × 33 × 16141
Abundant Even Composite

3,486,456 factors as 2^3 × 3^3 × 16141. Its 32 positive divisors give a proper-divisor sum of 6,198,744, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 16141
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,685,200
Proper Divisor Sum 6,198,744
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3486403 ← → #3486463

Radix Representation

Decimal 3486456
Binary 1101010011001011111000 (22 bits)
Octal 0o15231370
Hexadecimal 0x3532F8

Divisor Catalog (32)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 16,141 32,282 48,423 64,564 96,846 129,128 145,269 193,692 290,538 387,384 435,807 581,076 871,614 1,162,152 1,743,228 3,486,456

Collatz Trajectory (97 steps to reach 1)

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

3,486,456 1,743,228 871,614 435,807 1,307,422 653,711 1,961,134 980,567 2,941,702 1,470,851 4,412,554 2,206,277 6,618,832 3,309,416 1,654,708 827,354 413,677 1,241,032 620,516 310,258 155,129 465,388 232,694 116,347 349,042 174,521 523,564 261,782 130,891 392,674 196,337 589,012 294,506 147,253 441,760 220,880 110,440 55,220 27,610 13,805 41,416 20,708 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688

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