λ
Harmonic Matrix

841,404

22 × 3 × 70117
Abundant Even Composite

841,404 has digital root 3. The neighboring primes are 841397 and 841411; its proper-divisor sum differs from the starting integer by 280,496.

Prime Factor Structure

Factorization String 2^2 × 3 × 70117
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,963,304
Proper Divisor Sum 1,121,900
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #841397 ← → #841411

Radix Representation

Decimal 841404
Binary 11001101011010111100 (20 bits)
Octal 0o3153274
Hexadecimal 0xCD6BC

Divisor Catalog (12)

1 2 3 4 6 12 70,117 140,234 210,351 280,468 420,702 841,404

Collatz Trajectory (105 steps to reach 1)

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

841,404 420,702 210,351 631,054 315,527 946,582 473,291 1,419,874 709,937 2,129,812 1,064,906 532,453 1,597,360 798,680 399,340 199,670 99,835 299,506 149,753 449,260 224,630 112,315 336,946 168,473 505,420 252,710 126,355 379,066 189,533 568,600 284,300 142,150 71,075 213,226 106,613 319,840 159,920 79,960 39,980 19,990 9,995 29,986 14,993 44,980 22,490 11,245 33,736 16,868 8,434 4,217 12,652 6,326 3,163 9,490 4,745 14,236 7,118 3,559 10,678 5,339

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