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Atlas › Integer Profiles › Node 3,548,856

3,548,856

23 × 3 × 67 × 2207
Abundant Even Composite

3,548,856 factors as 2^3 × 3 × 67 × 2207. Its 32 positive divisors give a proper-divisor sum of 5,459,784, so this integer is abundant. The Collatz stopping time is 234 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 67 × 2207
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,008,640
Proper Divisor Sum 5,459,784
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3548851 ← → #3548863

Radix Representation

Decimal 3548856
Binary 1101100010011010111000 (22 bits)
Octal 0o15423270
Hexadecimal 0x3626B8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 67 134 201 268 402 536 804 1,608 2,207 4,414 6,621 8,828 13,242 17,656 26,484 52,968 147,869 295,738 443,607 591,476 887,214 1,182,952 1,774,428 3,548,856

Collatz Trajectory (234 steps to reach 1)

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

3,548,856 1,774,428 887,214 443,607 1,330,822 665,411 1,996,234 998,117 2,994,352 1,497,176 748,588 374,294 187,147 561,442 280,721 842,164 421,082 210,541 631,624 315,812 157,906 78,953 236,860 118,430 59,215 177,646 88,823 266,470 133,235 399,706 199,853 599,560 299,780 149,890 74,945 224,836 112,418 56,209 168,628 84,314 42,157 126,472 63,236 31,618 15,809 47,428 23,714 11,857 35,572 17,786 8,893 26,680 13,340 6,670 3,335 10,006 5,003 15,010 7,505 22,516

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