λ
Harmonic Matrix

1,109,247

3 × 47 × 7867
Deficient Odd Composite

1,109,247 has digital root 6. The neighboring primes are 1109243 and 1109249; its proper-divisor sum differs from the starting integer by -707,838.

Prime Factor Structure

Factorization String 3 × 47 × 7867
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,510,656
Proper Divisor Sum 401,409
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1109243 ← → #1109249

Radix Representation

Decimal 1109247
Binary 100001110110011111111 (21 bits)
Octal 0o4166377
Hexadecimal 0x10ECFF

Divisor Catalog (8)

1 3 47 141 7,867 23,601 369,749 1,109,247

Collatz Trajectory (178 steps to reach 1)

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

1,109,247 3,327,742 1,663,871 4,991,614 2,495,807 7,487,422 3,743,711 11,231,134 5,615,567 16,846,702 8,423,351 25,270,054 12,635,027 37,905,082 18,952,541 56,857,624 28,428,812 14,214,406 7,107,203 21,321,610 10,660,805 31,982,416 15,991,208 7,995,604 3,997,802 1,998,901 5,996,704 2,998,352 1,499,176 749,588 374,794 187,397 562,192 281,096 140,548 70,274 35,137 105,412 52,706 26,353 79,060 39,530 19,765 59,296 29,648 14,824 7,412 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174

More profiles

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