λ
Prime Ledger

7,561,713

3 × 71 × 131 × 271
Deficient Odd Composite

7,561,713 has the prime decomposition 3 × 71 × 131 × 271. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 71 × 131 × 271
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,340,352
Proper Divisor Sum 2,778,639
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7561709 ← → #7561751

Radix Representation

Decimal 7561713
Binary 11100110110000111110001 (23 bits)
Octal 0o34660761
Hexadecimal 0x7361F1

Divisor Catalog (16)

1 3 71 131 213 271 393 813 9,301 19,241 27,903 35,501 57,723 106,503 2,520,571 7,561,713

Collatz Trajectory (80 steps to reach 1)

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

7,561,713 22,685,140 11,342,570 5,671,285 17,013,856 8,506,928 4,253,464 2,126,732 1,063,366 531,683 1,595,050 797,525 2,392,576 1,196,288 598,144 299,072 149,536 74,768 37,384 18,692 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38

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