λ
Math Directory

9,959,410

2 × 5 × 995941
Deficient Even Composite

9,959,410 factors as 2 × 5 × 995941. Its 8 positive divisors give a proper-divisor sum of 7,967,546, so this integer is deficient. The Collatz stopping time is 344 steps.

Prime Factor Structure

Factorization String 2 × 5 × 995941
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 17,926,956
Proper Divisor Sum 7,967,546
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9959407 ← → #9959431

Radix Representation

Decimal 9959410
Binary 100101111111011111110010 (24 bits)
Octal 0o45773762
Hexadecimal 0x97F7F2

Divisor Catalog (8)

1 2 5 10 995,941 1,991,882 4,979,705 9,959,410

Collatz Trajectory (344 steps to reach 1)

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

9,959,410 4,979,705 14,939,116 7,469,558 3,734,779 11,204,338 5,602,169 16,806,508 8,403,254 4,201,627 12,604,882 6,302,441 18,907,324 9,453,662 4,726,831 14,180,494 7,090,247 21,270,742 10,635,371 31,906,114 15,953,057 47,859,172 23,929,586 11,964,793 35,894,380 17,947,190 8,973,595 26,920,786 13,460,393 40,381,180 20,190,590 10,095,295 30,285,886 15,142,943 45,428,830 22,714,415 68,143,246 34,071,623 102,214,870 51,107,435 153,322,306 76,661,153 229,983,460 114,991,730 57,495,865 172,487,596 86,243,798 43,121,899 129,365,698 64,682,849 194,048,548 97,024,274 48,512,137 145,536,412 72,768,206 36,384,103 109,152,310 54,576,155 163,728,466 81,864,233

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