λ
Prime Ledger

6,946,923

3 × 2315641
Deficient Odd Composite

6,946,923 has the prime decomposition 3 × 2315641. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 2315641
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,262,568
Proper Divisor Sum 2,315,645
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6946909 ← → #6946939

Radix Representation

Decimal 6946923
Binary 11010100000000001101011 (23 bits)
Octal 0o32400153
Hexadecimal 0x6A006B

Divisor Catalog (4)

1 3 2,315,641 6,946,923

Collatz Trajectory (204 steps to reach 1)

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

6,946,923 20,840,770 10,420,385 31,261,156 15,630,578 7,815,289 23,445,868 11,722,934 5,861,467 17,584,402 8,792,201 26,376,604 13,188,302 6,594,151 19,782,454 9,891,227 29,673,682 14,836,841 44,510,524 22,255,262 11,127,631 33,382,894 16,691,447 50,074,342 25,037,171 75,111,514 37,555,757 112,667,272 56,333,636 28,166,818 14,083,409 42,250,228 21,125,114 10,562,557 31,687,672 15,843,836 7,921,918 3,960,959 11,882,878 5,941,439 17,824,318 8,912,159 26,736,478 13,368,239 40,104,718 20,052,359 60,157,078 30,078,539 90,235,618 45,117,809 135,353,428 67,676,714 33,838,357 101,515,072 50,757,536 25,378,768 12,689,384 6,344,692 3,172,346 1,586,173

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