λ
Prime Ledger

1,642,082

2 × 13 × 137 × 461
Deficient Even Composite

1,642,082 has the prime decomposition 2 × 13 × 137 × 461. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 137 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,677,752
Proper Divisor Sum 1,035,670
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1642079 ← → #1642093

Radix Representation

Decimal 1642082
Binary 110010000111001100010 (21 bits)
Octal 0o6207142
Hexadecimal 0x190E62

Divisor Catalog (16)

1 2 13 26 137 274 461 922 1,781 3,562 5,993 11,986 63,157 126,314 821,041 1,642,082

Collatz Trajectory (83 steps to reach 1)

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

1,642,082 821,041 2,463,124 1,231,562 615,781 1,847,344 923,672 461,836 230,918 115,459 346,378 173,189 519,568 259,784 129,892 64,946 32,473 97,420 48,710 24,355 73,066 36,533 109,600 54,800 27,400 13,700 6,850 3,425 10,276 5,138 2,569 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49

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