λ
Prime Ledger

1,007,027

7 × 263 × 547
Deficient Odd Composite

1,007,027 has the prime decomposition 7 × 263 × 547. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 263 × 547
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,157,376
Proper Divisor Sum 150,349
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1007023 ← → #1007047

Radix Representation

Decimal 1007027
Binary 11110101110110110011 (20 bits)
Octal 0o3656663
Hexadecimal 0xF5DB3

Divisor Catalog (8)

1 7 263 547 1,841 3,829 143,861 1,007,027

Collatz Trajectory (59 steps to reach 1)

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

1,007,027 3,021,082 1,510,541 4,531,624 2,265,812 1,132,906 566,453 1,699,360 849,680 424,840 212,420 106,210 53,105 159,316 79,658 39,829 119,488 59,744 29,872 14,936 7,468 3,734 1,867 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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