λ
Harmonic Matrix

1,247,847

3 × 415949
Deficient Odd Composite

1,247,847 has digital root 6. The neighboring primes are 1247837 and 1247861; its proper-divisor sum differs from the starting integer by -831,894.

Prime Factor Structure

Factorization String 3 × 415949
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,663,800
Proper Divisor Sum 415,953
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1247837 ← → #1247861

Radix Representation

Decimal 1247847
Binary 100110000101001100111 (21 bits)
Octal 0o4605147
Hexadecimal 0x130A67

Divisor Catalog (4)

1 3 415,949 1,247,847

Collatz Trajectory (111 steps to reach 1)

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

1,247,847 3,743,542 1,871,771 5,615,314 2,807,657 8,422,972 4,211,486 2,105,743 6,317,230 3,158,615 9,475,846 4,737,923 14,213,770 7,106,885 21,320,656 10,660,328 5,330,164 2,665,082 1,332,541 3,997,624 1,998,812 999,406 499,703 1,499,110 749,555 2,248,666 1,124,333 3,373,000 1,686,500 843,250 421,625 1,264,876 632,438 316,219 948,658 474,329 1,422,988 711,494 355,747 1,067,242 533,621 1,600,864 800,432 400,216 200,108 100,054 50,027 150,082 75,041 225,124 112,562 56,281 168,844 84,422 42,211 126,634 63,317 189,952 94,976 47,488

More profiles

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