λ
Harmonic Matrix

981,249

3 × 23 × 14221
Deficient Odd Composite

981,249 has digital root 6. The neighboring primes are 981241 and 981263; its proper-divisor sum differs from the starting integer by -597,186.

Prime Factor Structure

Factorization String 3 × 23 × 14221
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,365,312
Proper Divisor Sum 384,063
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #981241 ← → #981263

Radix Representation

Decimal 981249
Binary 11101111100100000001 (20 bits)
Octal 0o3574401
Hexadecimal 0xEF901

Divisor Catalog (8)

1 3 23 69 14,221 42,663 327,083 981,249

Collatz Trajectory (90 steps to reach 1)

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

981,249 2,943,748 1,471,874 735,937 2,207,812 1,103,906 551,953 1,655,860 827,930 413,965 1,241,896 620,948 310,474 155,237 465,712 232,856 116,428 58,214 29,107 87,322 43,661 130,984 65,492 32,746 16,373 49,120 24,560 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 22,144 11,072 5,536 2,768 1,384 692 346 173

More profiles

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