λ
Integer Codex

334,621

72 × 6829
Deficient Odd Composite

For 334,621, the 6 positive divisors have a total of 389,310. Removing 334,621 leaves 54,689, which gives the deficient classification.

Prime Factor Structure

Factorization String 7^2 × 6829
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 389,310
Proper Divisor Sum 54,689
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #334619 ← → #334637

Radix Representation

Decimal 334621
Binary 1010001101100011101 (19 bits)
Octal 0o1215435
Hexadecimal 0x51B1D

Divisor Catalog (6)

1 7 49 6,829 47,803 334,621

Collatz Trajectory (60 steps to reach 1)

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

334,621 1,003,864 501,932 250,966 125,483 376,450 188,225 564,676 282,338 141,169 423,508 211,754 105,877 317,632 158,816 79,408 39,704 19,852 9,926 4,963 14,890 7,445 22,336 11,168 5,584 2,792 1,396 698 349 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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