λ
Sigma Notebook

6,921,661

41 × 401 × 421
Deficient Odd Composite

6,921,661 is odd and not a perfect square. Its factorization is 41 × 401 × 421 and its 8 divisors sum to 7,125,048.

Prime Factor Structure

Factorization String 41 × 401 × 421
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,125,048
Proper Divisor Sum 203,387
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6921653 ← → #6921671

Radix Representation

Decimal 6921661
Binary 11010011001110110111101 (23 bits)
Octal 0o32316675
Hexadecimal 0x699DBD

Divisor Catalog (8)

1 41 401 421 16,441 17,261 168,821 6,921,661

Collatz Trajectory (328 steps to reach 1)

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

6,921,661 20,764,984 10,382,492 5,191,246 2,595,623 7,786,870 3,893,435 11,680,306 5,840,153 17,520,460 8,760,230 4,380,115 13,140,346 6,570,173 19,710,520 9,855,260 4,927,630 2,463,815 7,391,446 3,695,723 11,087,170 5,543,585 16,630,756 8,315,378 4,157,689 12,473,068 6,236,534 3,118,267 9,354,802 4,677,401 14,032,204 7,016,102 3,508,051 10,524,154 5,262,077 15,786,232 7,893,116 3,946,558 1,973,279 5,919,838 2,959,919 8,879,758 4,439,879 13,319,638 6,659,819 19,979,458 9,989,729 29,969,188 14,984,594 7,492,297 22,476,892 11,238,446 5,619,223 16,857,670 8,428,835 25,286,506 12,643,253 37,929,760 18,964,880 9,482,440

More profiles

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