λ
Harmonic Matrix

1,333,847

97 × 13751
Deficient Odd Composite

1,333,847 has digital root 2. The neighboring primes are 1333841 and 1333867; its proper-divisor sum differs from the starting integer by -1,319,998.

Prime Factor Structure

Factorization String 97 × 13751
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,347,696
Proper Divisor Sum 13,849
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1333841 ← → #1333867

Radix Representation

Decimal 1333847
Binary 101000101101001010111 (21 bits)
Octal 0o5055127
Hexadecimal 0x145A57

Divisor Catalog (4)

1 97 13,751 1,333,847

Collatz Trajectory (142 steps to reach 1)

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

1,333,847 4,001,542 2,000,771 6,002,314 3,001,157 9,003,472 4,501,736 2,250,868 1,125,434 562,717 1,688,152 844,076 422,038 211,019 633,058 316,529 949,588 474,794 237,397 712,192 356,096 178,048 89,024 44,512 22,256 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476

More profiles

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