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Atlas › Integer Profiles › Node 3,597,672

3,597,672

23 × 3 × 132 × 887
Abundant Even Composite

3,597,672 factors as 2^3 × 3 × 13^2 × 887. Its 48 positive divisors give a proper-divisor sum of 6,152,568, so this integer is abundant. The Collatz stopping time is 203 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 13^2 × 887
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,750,240
Proper Divisor Sum 6,152,568
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3597617 ← → #3597673

Radix Representation

Decimal 3597672
Binary 1101101110010101101000 (22 bits)
Octal 0o15562550
Hexadecimal 0x36E568

Divisor Catalog (48)

1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 887 1,014 1,352 1,774 2,028 2,661 3,548 4,056 5,322 7,096 10,644 11,531 21,288 23,062 34,593 46,124 69,186 92,248 138,372 149,903 276,744 299,806 449,709 599,612 899,418 1,199,224 1,798,836 3,597,672

Collatz Trajectory (203 steps to reach 1)

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

3,597,672 1,798,836 899,418 449,709 1,349,128 674,564 337,282 168,641 505,924 252,962 126,481 379,444 189,722 94,861 284,584 142,292 71,146 35,573 106,720 53,360 26,680 13,340 6,670 3,335 10,006 5,003 15,010 7,505 22,516 11,258 5,629 16,888 8,444 4,222 2,111 6,334 3,167 9,502 4,751 14,254 7,127 21,382 10,691 32,074 16,037 48,112 24,056 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841

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