λ
Prime Ledger

1,016,372

22 × 7 × 36299
Abundant Even Composite

1,016,372 has the prime decomposition 2^2 × 7 × 36299. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 36299
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,032,800
Proper Divisor Sum 1,016,428
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1016371 ← → #1016399

Radix Representation

Decimal 1016372
Binary 11111000001000110100 (20 bits)
Octal 0o3701064
Hexadecimal 0xF8234

Divisor Catalog (12)

1 2 4 7 14 28 36,299 72,598 145,196 254,093 508,186 1,016,372

Collatz Trajectory (152 steps to reach 1)

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

1,016,372 508,186 254,093 762,280 381,140 190,570 95,285 285,856 142,928 71,464 35,732 17,866 8,933 26,800 13,400 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182

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