λ
Prime Ledger

7,436,002

2 × 7 × 531143
Deficient Even Composite

7,436,002 has the prime decomposition 2 × 7 × 531143. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 531143
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,747,456
Proper Divisor Sum 5,311,454
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #7435997 ← → #7436027

Radix Representation

Decimal 7436002
Binary 11100010111011011100010 (23 bits)
Octal 0o34273342
Hexadecimal 0x7176E2

Divisor Catalog (8)

1 2 7 14 531,143 1,062,286 3,718,001 7,436,002

Collatz Trajectory (80 steps to reach 1)

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

7,436,002 3,718,001 11,154,004 5,577,002 2,788,501 8,365,504 4,182,752 2,091,376 1,045,688 522,844 261,422 130,711 392,134 196,067 588,202 294,101 882,304 441,152 220,576 110,288 55,144 27,572 13,786 6,893 20,680 10,340 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37

More profiles

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