896,847

3 × 7² × 6101

896,847 factors as 3 × 7^2 × 6101. Its 12 positive divisors give a proper-divisor sum of 494,409, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 6101

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,391,256

Proper Divisor Sum 494,409

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #896837 ← → #896867

Radix Representation

Decimal	896847
Binary	11011010111101001111 (20 bits)
Octal	0o3327517
Hexadecimal	0xDAF4F

Divisor Catalog (12)

1 3 7 21 49 147 6,101 18,303 42,707 128,121 298,949 896,847

Collatz Trajectory (126 steps to reach 1)

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

896,847 2,690,542 1,345,271 4,035,814 2,017,907 6,053,722 3,026,861 9,080,584 4,540,292 2,270,146 1,135,073 3,405,220 1,702,610 851,305 2,553,916 1,276,958 638,479 1,915,438 957,719 2,873,158 1,436,579 4,309,738 2,154,869 6,464,608 3,232,304 1,616,152 808,076 404,038 202,019 606,058 303,029 909,088 454,544 227,272 113,636 56,818 28,409 85,228 42,614 21,307 63,922 31,961 95,884 47,942 23,971 71,914 35,957 107,872 53,936 26,968 13,484 6,742 3,371 10,114 5,057 15,172 7,586 3,793 11,380 5,690

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