λ
Prime Ledger

9,575,028

22 × 32 × 47 × 5659
Abundant Even Composite

9,575,028 has the prime decomposition 2^2 × 3^2 × 47 × 5659. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 47 × 5659
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 24,722,880
Proper Divisor Sum 15,147,852
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9575011 ← → #9575039

Radix Representation

Decimal 9575028
Binary 100100100001101001110100 (24 bits)
Octal 0o44415164
Hexadecimal 0x921A74

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1,692 5,659 11,318 16,977 22,636 33,954 50,931 67,908 101,862 203,724 265,973 531,946 797,919 1,063,892 1,595,838 2,393,757 3,191,676 4,787,514 9,575,028

Collatz Trajectory (269 steps to reach 1)

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

9,575,028 4,787,514 2,393,757 7,181,272 3,590,636 1,795,318 897,659 2,692,978 1,346,489 4,039,468 2,019,734 1,009,867 3,029,602 1,514,801 4,544,404 2,272,202 1,136,101 3,408,304 1,704,152 852,076 426,038 213,019 639,058 319,529 958,588 479,294 239,647 718,942 359,471 1,078,414 539,207 1,617,622 808,811 2,426,434 1,213,217 3,639,652 1,819,826 909,913 2,729,740 1,364,870 682,435 2,047,306 1,023,653 3,070,960 1,535,480 767,740 383,870 191,935 575,806 287,903 863,710 431,855 1,295,566 647,783 1,943,350 971,675 2,915,026 1,457,513 4,372,540 2,186,270

More profiles

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