λ
Harmonic Matrix

7,753,793

1787 × 4339
Deficient Odd Composite

7,753,793 has digital root 5. The neighboring primes are 7753787 and 7753799; its proper-divisor sum differs from the starting integer by -7,747,666.

Prime Factor Structure

Factorization String 1787 × 4339
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 7,759,920
Proper Divisor Sum 6,127
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #7753787 ← → #7753799

Radix Representation

Decimal 7753793
Binary 11101100101000001000001 (23 bits)
Octal 0o35450101
Hexadecimal 0x765041

Divisor Catalog (4)

1 1,787 4,339 7,753,793

Collatz Trajectory (54 steps to reach 1)

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

7,753,793 23,261,380 11,630,690 5,815,345 17,446,036 8,723,018 4,361,509 13,084,528 6,542,264 3,271,132 1,635,566 817,783 2,453,350 1,226,675 3,680,026 1,840,013 5,520,040 2,760,020 1,380,010 690,005 2,070,016 1,035,008 517,504 258,752 129,376 64,688 32,344 16,172 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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