λ
Ratio Atlas

8,414,635

5 × 41 × 41047
Deficient Odd Composite

8,414,635 factors as 5 × 41 × 41047. Its 8 positive divisors give a proper-divisor sum of 1,929,461, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 5 × 41 × 41047
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,344,096
Proper Divisor Sum 1,929,461
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8414621 ← → #8414641

Radix Representation

Decimal 8414635
Binary 100000000110010110101011 (24 bits)
Octal 0o40062653
Hexadecimal 0x8065AB

Divisor Catalog (8)

1 5 41 205 41,047 205,235 1,682,927 8,414,635

Collatz Trajectory (129 steps to reach 1)

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

8,414,635 25,243,906 12,621,953 37,865,860 18,932,930 9,466,465 28,399,396 14,199,698 7,099,849 21,299,548 10,649,774 5,324,887 15,974,662 7,987,331 23,961,994 11,980,997 35,942,992 17,971,496 8,985,748 4,492,874 2,246,437 6,739,312 3,369,656 1,684,828 842,414 421,207 1,263,622 631,811 1,895,434 947,717 2,843,152 1,421,576 710,788 355,394 177,697 533,092 266,546 133,273 399,820 199,910 99,955 299,866 149,933 449,800 224,900 112,450 56,225 168,676 84,338 42,169 126,508 63,254 31,627 94,882 47,441 142,324 71,162 35,581 106,744 53,372

More profiles

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