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897,204

22 × 3 × 7 × 11 × 971
Abundant Even Composite

897,204 factors as 2^2 × 3 × 7 × 11 × 971. Its 48 positive divisors give a proper-divisor sum of 1,715,532, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 11 × 971
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,612,736
Proper Divisor Sum 1,715,532
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #897191 ← → #897223

Radix Representation

Decimal 897204
Binary 11011011000010110100 (20 bits)
Octal 0o3330264
Hexadecimal 0xDB0B4

Divisor Catalog (48)

1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 971 1,942 2,913 3,884 5,826 6,797 10,681 11,652 13,594 20,391 21,362 27,188 32,043 40,782 42,724 64,086 74,767 81,564 128,172 149,534 224,301 299,068 448,602 897,204

Collatz Trajectory (95 steps to reach 1)

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

897,204 448,602 224,301 672,904 336,452 168,226 84,113 252,340 126,170 63,085 189,256 94,628 47,314 23,657 70,972 35,486 17,743 53,230 26,615 79,846 39,923 119,770 59,885 179,656 89,828 44,914 22,457 67,372 33,686 16,843 50,530 25,265 75,796 37,898 18,949 56,848 28,424 14,212 7,106 3,553 10,660 5,330 2,665 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696

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