λ
Harmonic Matrix

787,041

32 × 157 × 557
Deficient Odd Composite

787,041 has digital root 9. The neighboring primes are 787021 and 787043; its proper-divisor sum differs from the starting integer by -427,950.

Prime Factor Structure

Factorization String 3^2 × 157 × 557
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,146,132
Proper Divisor Sum 359,091
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #787021 ← → #787043

Radix Representation

Decimal 787041
Binary 11000000001001100001 (20 bits)
Octal 0o3001141
Hexadecimal 0xC0261

Divisor Catalog (12)

1 3 9 157 471 557 1,413 1,671 5,013 87,449 262,347 787,041

Collatz Trajectory (100 steps to reach 1)

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

787,041 2,361,124 1,180,562 590,281 1,770,844 885,422 442,711 1,328,134 664,067 1,992,202 996,101 2,988,304 1,494,152 747,076 373,538 186,769 560,308 280,154 140,077 420,232 210,116 105,058 52,529 157,588 78,794 39,397 118,192 59,096 29,548 14,774 7,387 22,162 11,081 33,244 16,622 8,311 24,934 12,467 37,402 18,701 56,104 28,052 14,026 7,013 21,040 10,520 5,260 2,630 1,315 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139

More profiles

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