λ
Sigma Notebook

8,961,675

3 × 52 × 119489
Deficient Odd Composite

8,961,675 is odd and not a perfect square. Its factorization is 3 × 5^2 × 119489 and its 12 divisors sum to 14,816,760.

Prime Factor Structure

Factorization String 3 × 5^2 × 119489
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,816,760
Proper Divisor Sum 5,855,085
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8961671 ← → #8961679

Radix Representation

Decimal 8961675
Binary 100010001011111010001011 (24 bits)
Octal 0o42137213
Hexadecimal 0x88BE8B

Divisor Catalog (12)

1 3 5 15 25 75 119,489 358,467 597,445 1,792,335 2,987,225 8,961,675

Collatz Trajectory (119 steps to reach 1)

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

8,961,675 26,885,026 13,442,513 40,327,540 20,163,770 10,081,885 30,245,656 15,122,828 7,561,414 3,780,707 11,342,122 5,671,061 17,013,184 8,506,592 4,253,296 2,126,648 1,063,324 531,662 265,831 797,494 398,747 1,196,242 598,121 1,794,364 897,182 448,591 1,345,774 672,887 2,018,662 1,009,331 3,027,994 1,513,997 4,541,992 2,270,996 1,135,498 567,749 1,703,248 851,624 425,812 212,906 106,453 319,360 159,680 79,840 39,920 19,960 9,980 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860

More profiles

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