λ
Prime Ledger

7,542,849

3 × 17 × 131 × 1129
Deficient Odd Composite

7,542,849 has the prime decomposition 3 × 17 × 131 × 1129. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 17 × 131 × 1129
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,739,520
Proper Divisor Sum 3,196,671
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7542823 ← → #7542851

Radix Representation

Decimal 7542849
Binary 11100110001100001000001 (23 bits)
Octal 0o34614101
Hexadecimal 0x731841

Divisor Catalog (16)

1 3 17 51 131 393 1,129 2,227 3,387 6,681 19,193 57,579 147,899 443,697 2,514,283 7,542,849

Collatz Trajectory (235 steps to reach 1)

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

7,542,849 22,628,548 11,314,274 5,657,137 16,971,412 8,485,706 4,242,853 12,728,560 6,364,280 3,182,140 1,591,070 795,535 2,386,606 1,193,303 3,579,910 1,789,955 5,369,866 2,684,933 8,054,800 4,027,400 2,013,700 1,006,850 503,425 1,510,276 755,138 377,569 1,132,708 566,354 283,177 849,532 424,766 212,383 637,150 318,575 955,726 477,863 1,433,590 716,795 2,150,386 1,075,193 3,225,580 1,612,790 806,395 2,419,186 1,209,593 3,628,780 1,814,390 907,195 2,721,586 1,360,793 4,082,380 2,041,190 1,020,595 3,061,786 1,530,893 4,592,680 2,296,340 1,148,170 574,085 1,722,256

More profiles

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