λ
Prime Ledger

9,542,897

72 × 13 × 71 × 211
Deficient Odd Composite

9,542,897 has the prime decomposition 7^2 × 13 × 71 × 211. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 13 × 71 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,180,672
Proper Divisor Sum 2,637,775
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #9542891 ← → #9542903

Radix Representation

Decimal 9542897
Binary 100100011001110011110001 (24 bits)
Octal 0o44316361
Hexadecimal 0x919CF1

Divisor Catalog (24)

1 7 13 49 71 91 211 497 637 923 1,477 2,743 3,479 6,461 10,339 14,981 19,201 45,227 104,867 134,407 194,753 734,069 1,363,271 9,542,897

Collatz Trajectory (176 steps to reach 1)

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

9,542,897 28,628,692 14,314,346 7,157,173 21,471,520 10,735,760 5,367,880 2,683,940 1,341,970 670,985 2,012,956 1,006,478 503,239 1,509,718 754,859 2,264,578 1,132,289 3,396,868 1,698,434 849,217 2,547,652 1,273,826 636,913 1,910,740 955,370 477,685 1,433,056 716,528 358,264 179,132 89,566 44,783 134,350 67,175 201,526 100,763 302,290 151,145 453,436 226,718 113,359 340,078 170,039 510,118 255,059 765,178 382,589 1,147,768 573,884 286,942 143,471 430,414 215,207 645,622 322,811 968,434 484,217 1,452,652 726,326 363,163

More profiles

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