λ
Harmonic Matrix

977,943

3 × 181 × 1801
Deficient Odd Composite

977,943 has digital root 3. The neighboring primes are 977927 and 977971; its proper-divisor sum differs from the starting integer by -644,030.

Prime Factor Structure

Factorization String 3 × 181 × 1801
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,311,856
Proper Divisor Sum 333,913
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #977927 ← → #977971

Radix Representation

Decimal 977943
Binary 11101110110000010111 (20 bits)
Octal 0o3566027
Hexadecimal 0xEEC17

Divisor Catalog (8)

1 3 181 543 1,801 5,403 325,981 977,943

Collatz Trajectory (90 steps to reach 1)

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

977,943 2,933,830 1,466,915 4,400,746 2,200,373 6,601,120 3,300,560 1,650,280 825,140 412,570 206,285 618,856 309,428 154,714 77,357 232,072 116,036 58,018 29,009 87,028 43,514 21,757 65,272 32,636 16,318 8,159 24,478 12,239 36,718 18,359 55,078 27,539 82,618 41,309 123,928 61,964 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173

More profiles

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