λ
Sigma Notebook

9,600,100

22 × 52 × 96001
Abundant Even Composite

9,600,100 is even and not a perfect square. Its factorization is 2^2 × 5^2 × 96001 and its 18 divisors sum to 20,832,434.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 96001
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 20,832,434
Proper Divisor Sum 11,232,334
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #9600091 ← → #9600103

Radix Representation

Decimal 9600100
Binary 100100100111110001100100 (24 bits)
Octal 0o44476144
Hexadecimal 0x927C64

Divisor Catalog (18)

1 2 4 5 10 20 25 50 100 96,001 192,002 384,004 480,005 960,010 1,920,020 2,400,025 4,800,050 9,600,100

Collatz Trajectory (194 steps to reach 1)

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

9,600,100 4,800,050 2,400,025 7,200,076 3,600,038 1,800,019 5,400,058 2,700,029 8,100,088 4,050,044 2,025,022 1,012,511 3,037,534 1,518,767 4,556,302 2,278,151 6,834,454 3,417,227 10,251,682 5,125,841 15,377,524 7,688,762 3,844,381 11,533,144 5,766,572 2,883,286 1,441,643 4,324,930 2,162,465 6,487,396 3,243,698 1,621,849 4,865,548 2,432,774 1,216,387 3,649,162 1,824,581 5,473,744 2,736,872 1,368,436 684,218 342,109 1,026,328 513,164 256,582 128,291 384,874 192,437 577,312 288,656 144,328 72,164 36,082 18,041 54,124 27,062 13,531 40,594 20,297 60,892

More profiles

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