λ
Prime Ledger

977,190

2 × 3 × 5 × 32573
Abundant Even Composite

977,190 has the prime decomposition 2 × 3 × 5 × 32573. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 32573
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,345,328
Proper Divisor Sum 1,368,138
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #977183 ← → #977191

Radix Representation

Decimal 977190
Binary 11101110100100100110 (20 bits)
Octal 0o3564446
Hexadecimal 0xEE926

Divisor Catalog (16)

1 2 3 5 6 10 15 30 32,573 65,146 97,719 162,865 195,438 325,730 488,595 977,190

Collatz Trajectory (139 steps to reach 1)

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

977,190 488,595 1,465,786 732,893 2,198,680 1,099,340 549,670 274,835 824,506 412,253 1,236,760 618,380 309,190 154,595 463,786 231,893 695,680 347,840 173,920 86,960 43,480 21,740 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 91 274 137 412 206 103 310 155 466 233 700 350 175

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