λ
Harmonic Matrix

940,705

5 × 47 × 4003
Deficient Odd Composite

940,705 has digital root 7. The neighboring primes are 940703 and 940721; its proper-divisor sum differs from the starting integer by -728,258.

Prime Factor Structure

Factorization String 5 × 47 × 4003
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,153,152
Proper Divisor Sum 212,447
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #940703 ← → #940721

Radix Representation

Decimal 940705
Binary 11100101101010100001 (20 bits)
Octal 0o3455241
Hexadecimal 0xE5AA1

Divisor Catalog (8)

1 5 47 235 4,003 20,015 188,141 940,705

Collatz Trajectory (152 steps to reach 1)

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

940,705 2,822,116 1,411,058 705,529 2,116,588 1,058,294 529,147 1,587,442 793,721 2,381,164 1,190,582 595,291 1,785,874 892,937 2,678,812 1,339,406 669,703 2,009,110 1,004,555 3,013,666 1,506,833 4,520,500 2,260,250 1,130,125 3,390,376 1,695,188 847,594 423,797 1,271,392 635,696 317,848 158,924 79,462 39,731 119,194 59,597 178,792 89,396 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969

More profiles

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