λ
Prime Ledger

6,977,732

22 × 1744433
Deficient Even Composite

6,977,732 has the prime decomposition 2^2 × 1744433. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 1744433
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 12,211,038
Proper Divisor Sum 5,233,306
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6977723 ← → #6977741

Radix Representation

Decimal 6977732
Binary 11010100111100011000100 (23 bits)
Octal 0o32474304
Hexadecimal 0x6A78C4

Divisor Catalog (6)

1 2 4 1,744,433 3,488,866 6,977,732

Collatz Trajectory (222 steps to reach 1)

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

6,977,732 3,488,866 1,744,433 5,233,300 2,616,650 1,308,325 3,924,976 1,962,488 981,244 490,622 245,311 735,934 367,967 1,103,902 551,951 1,655,854 827,927 2,483,782 1,241,891 3,725,674 1,862,837 5,588,512 2,794,256 1,397,128 698,564 349,282 174,641 523,924 261,962 130,981 392,944 196,472 98,236 49,118 24,559 73,678 36,839 110,518 55,259 165,778 82,889 248,668 124,334 62,167 186,502 93,251 279,754 139,877 419,632 209,816 104,908 52,454 26,227 78,682 39,341 118,024 59,012 29,506 14,753 44,260

More profiles

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