λ
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9,504,705

3 × 5 × 7 × 131 × 691
Deficient Odd Composite

9,504,705 factors as 3 × 5 × 7 × 131 × 691. Its 32 positive divisors give a proper-divisor sum of 8,033,343, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 131 × 691
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,538,048
Proper Divisor Sum 8,033,343
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9504697 ← → #9504707

Radix Representation

Decimal 9504705
Binary 100100010000011111000001 (24 bits)
Octal 0o44203701
Hexadecimal 0x9107C1

Divisor Catalog (32)

1 3 5 7 15 21 35 105 131 393 655 691 917 1,965 2,073 2,751 3,455 4,585 4,837 10,365 13,755 14,511 24,185 72,555 90,521 271,563 452,605 633,647 1,357,815 1,900,941 3,168,235 9,504,705

Collatz Trajectory (225 steps to reach 1)

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

9,504,705 28,514,116 14,257,058 7,128,529 21,385,588 10,692,794 5,346,397 16,039,192 8,019,596 4,009,798 2,004,899 6,014,698 3,007,349 9,022,048 4,511,024 2,255,512 1,127,756 563,878 281,939 845,818 422,909 1,268,728 634,364 317,182 158,591 475,774 237,887 713,662 356,831 1,070,494 535,247 1,605,742 802,871 2,408,614 1,204,307 3,612,922 1,806,461 5,419,384 2,709,692 1,354,846 677,423 2,032,270 1,016,135 3,048,406 1,524,203 4,572,610 2,286,305 6,858,916 3,429,458 1,714,729 5,144,188 2,572,094 1,286,047 3,858,142 1,929,071 5,787,214 2,893,607 8,680,822 4,340,411 13,021,234

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