λ
Zalai Atlas

8,157,442

2 × 41 × 53 × 1877
Deficient Even Composite

8,157,442 has the prime decomposition 2 × 41 × 53 × 1877. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 41 × 53 × 1877
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,777,912
Proper Divisor Sum 4,620,470
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8157431 ← → #8157463

Radix Representation

Decimal 8157442
Binary 11111000111100100000010 (23 bits)
Octal 0o37074402
Hexadecimal 0x7C7902

Divisor Catalog (16)

1 2 41 53 82 106 1,877 2,173 3,754 4,346 76,957 99,481 153,914 198,962 4,078,721 8,157,442

Collatz Trajectory (111 steps to reach 1)

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

8,157,442 4,078,721 12,236,164 6,118,082 3,059,041 9,177,124 4,588,562 2,294,281 6,882,844 3,441,422 1,720,711 5,162,134 2,581,067 7,743,202 3,871,601 11,614,804 5,807,402 2,903,701 8,711,104 4,355,552 2,177,776 1,088,888 544,444 272,222 136,111 408,334 204,167 612,502 306,251 918,754 459,377 1,378,132 689,066 344,533 1,033,600 516,800 258,400 129,200 64,600 32,300 16,150 8,075 24,226 12,113 36,340 18,170 9,085 27,256 13,628 6,814 3,407 10,222 5,111 15,334 7,667 23,002 11,501 34,504 17,252 8,626

More profiles

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