λ
Prime Ledger

842,609

419 × 2011
Deficient Odd Composite

842,609 has the prime decomposition 419 × 2011. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 419 × 2011
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 845,040
Proper Divisor Sum 2,431
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #842599 ← → #842617

Radix Representation

Decimal 842609
Binary 11001101101101110001 (20 bits)
Octal 0o3155561
Hexadecimal 0xCDB71

Divisor Catalog (4)

1 419 2,011 842,609

Collatz Trajectory (175 steps to reach 1)

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

842,609 2,527,828 1,263,914 631,957 1,895,872 947,936 473,968 236,984 118,492 59,246 29,623 88,870 44,435 133,306 66,653 199,960 99,980 49,990 24,995 74,986 37,493 112,480 56,240 28,120 14,060 7,030 3,515 10,546 5,273 15,820 7,910 3,955 11,866 5,933 17,800 8,900 4,450 2,225 6,676 3,338 1,669 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898

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