λ
Harmonic Matrix

289,461

3 × 96487
Deficient Odd Composite

289,461 has digital root 3. The neighboring primes are 289453 and 289463; its proper-divisor sum differs from the starting integer by -192,970.

Prime Factor Structure

Factorization String 3 × 96487
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 385,952
Proper Divisor Sum 96,491
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #289453 ← → #289463

Radix Representation

Decimal 289461
Binary 1000110101010110101 (19 bits)
Octal 0o1065265
Hexadecimal 0x46AB5

Divisor Catalog (4)

1 3 96,487 289,461

Collatz Trajectory (145 steps to reach 1)

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

289,461 868,384 434,192 217,096 108,548 54,274 27,137 81,412 40,706 20,353 61,060 30,530 15,265 45,796 22,898 11,449 34,348 17,174 8,587 25,762 12,881 38,644 19,322 9,661 28,984 14,492 7,246 3,623 10,870 5,435 16,306 8,153 24,460 12,230 6,115 18,346 9,173 27,520 13,760 6,880 3,440 1,720 860 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310

More profiles

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