λ
Prime Ledger

6,977,372

22 × 23 × 149 × 509
Deficient Even Composite

6,977,372 has the prime decomposition 2^2 × 23 × 149 × 509. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 23 × 149 × 509
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,852,000
Proper Divisor Sum 5,874,628
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6977329 ← → #6977381

Radix Representation

Decimal 6977372
Binary 11010100111011101011100 (23 bits)
Octal 0o32473534
Hexadecimal 0x6A775C

Divisor Catalog (24)

1 2 4 23 46 92 149 298 509 596 1,018 2,036 3,427 6,854 11,707 13,708 23,414 46,828 75,841 151,682 303,364 1,744,343 3,488,686 6,977,372

Collatz Trajectory (98 steps to reach 1)

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

6,977,372 3,488,686 1,744,343 5,233,030 2,616,515 7,849,546 3,924,773 11,774,320 5,887,160 2,943,580 1,471,790 735,895 2,207,686 1,103,843 3,311,530 1,655,765 4,967,296 2,483,648 1,241,824 620,912 310,456 155,228 77,614 38,807 116,422 58,211 174,634 87,317 261,952 130,976 65,488 32,744 16,372 8,186 4,093 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243 78,730 39,365 118,096 59,048 29,524 14,762 7,381

More profiles

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