λ
Prime Ledger

1,000,978

2 × 11 × 173 × 263
Deficient Even Composite

1,000,978 has the prime decomposition 2 × 11 × 173 × 263. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 173 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,653,696
Proper Divisor Sum 652,718
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1000973 ← → #1000981

Radix Representation

Decimal 1000978
Binary 11110100011000010010 (20 bits)
Octal 0o3643022
Hexadecimal 0xF4612

Divisor Catalog (16)

1 2 11 22 173 263 346 526 1,903 2,893 3,806 5,786 45,499 90,998 500,489 1,000,978

Collatz Trajectory (139 steps to reach 1)

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

1,000,978 500,489 1,501,468 750,734 375,367 1,126,102 563,051 1,689,154 844,577 2,533,732 1,266,866 633,433 1,900,300 950,150 475,075 1,425,226 712,613 2,137,840 1,068,920 534,460 267,230 133,615 400,846 200,423 601,270 300,635 901,906 450,953 1,352,860 676,430 338,215 1,014,646 507,323 1,521,970 760,985 2,282,956 1,141,478 570,739 1,712,218 856,109 2,568,328 1,284,164 642,082 321,041 963,124 481,562 240,781 722,344 361,172 180,586 90,293 270,880 135,440 67,720 33,860 16,930 8,465 25,396 12,698 6,349

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