λ
Prime Ledger

9,744,606

2 × 32 × 19 × 28493
Abundant Even Composite

9,744,606 has the prime decomposition 2 × 3^2 × 19 × 28493. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 19 × 28493
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 22,225,320
Proper Divisor Sum 12,480,714
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9744599 ← → #9744641

Radix Representation

Decimal 9744606
Binary 100101001011000011011110 (24 bits)
Octal 0o45130336
Hexadecimal 0x94B0DE

Divisor Catalog (24)

1 2 3 6 9 18 19 38 57 114 171 342 28,493 56,986 85,479 170,958 256,437 512,874 541,367 1,082,734 1,624,101 3,248,202 4,872,303 9,744,606

Collatz Trajectory (199 steps to reach 1)

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

9,744,606 4,872,303 14,616,910 7,308,455 21,925,366 10,962,683 32,888,050 16,444,025 49,332,076 24,666,038 12,333,019 36,999,058 18,499,529 55,498,588 27,749,294 13,874,647 41,623,942 20,811,971 62,435,914 31,217,957 93,653,872 46,826,936 23,413,468 11,706,734 5,853,367 17,560,102 8,780,051 26,340,154 13,170,077 39,510,232 19,755,116 9,877,558 4,938,779 14,816,338 7,408,169 22,224,508 11,112,254 5,556,127 16,668,382 8,334,191 25,002,574 12,501,287 37,503,862 18,751,931 56,255,794 28,127,897 84,383,692 42,191,846 21,095,923 63,287,770 31,643,885 94,931,656 47,465,828 23,732,914 11,866,457 35,599,372 17,799,686 8,899,843 26,699,530 13,349,765

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