λ
Harmonic Matrix

742,882

2 × 7 × 47 × 1129
Deficient Even Composite

742,882 has digital root 4. The neighboring primes are 742817 and 742891; its proper-divisor sum differs from the starting integer by -184,004.

Prime Factor Structure

Factorization String 2 × 7 × 47 × 1129
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,301,760
Proper Divisor Sum 558,878
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #742817 ← → #742891

Radix Representation

Decimal 742882
Binary 10110101010111100010 (20 bits)
Octal 0o2652742
Hexadecimal 0xB55E2

Divisor Catalog (16)

1 2 7 14 47 94 329 658 1,129 2,258 7,903 15,806 53,063 106,126 371,441 742,882

Collatz Trajectory (180 steps to reach 1)

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

742,882 371,441 1,114,324 557,162 278,581 835,744 417,872 208,936 104,468 52,234 26,117 78,352 39,176 19,588 9,794 4,897 14,692 7,346 3,673 11,020 5,510 2,755 8,266 4,133 12,400 6,200 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738

More profiles

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