λ
Sigma Notebook

7,405,705

5 × 61 × 24281
Deficient Odd Composite

7,405,705 is odd and not a perfect square. Its factorization is 5 × 61 × 24281 and its 8 divisors sum to 9,032,904.

Prime Factor Structure

Factorization String 5 × 61 × 24281
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,032,904
Proper Divisor Sum 1,627,199
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7405691 ← → #7405709

Radix Representation

Decimal 7405705
Binary 11100010000000010001001 (23 bits)
Octal 0o34200211
Hexadecimal 0x710089

Divisor Catalog (8)

1 5 61 305 24,281 121,405 1,481,141 7,405,705

Collatz Trajectory (165 steps to reach 1)

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

7,405,705 22,217,116 11,108,558 5,554,279 16,662,838 8,331,419 24,994,258 12,497,129 37,491,388 18,745,694 9,372,847 28,118,542 14,059,271 42,177,814 21,088,907 63,266,722 31,633,361 94,900,084 47,450,042 23,725,021 71,175,064 35,587,532 17,793,766 8,896,883 26,690,650 13,345,325 40,035,976 20,017,988 10,008,994 5,004,497 15,013,492 7,506,746 3,753,373 11,260,120 5,630,060 2,815,030 1,407,515 4,222,546 2,111,273 6,333,820 3,166,910 1,583,455 4,750,366 2,375,183 7,125,550 3,562,775 10,688,326 5,344,163 16,032,490 8,016,245 24,048,736 12,024,368 6,012,184 3,006,092 1,503,046 751,523 2,254,570 1,127,285 3,381,856 1,690,928

More profiles

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