λ
Harmonic Matrix

787,945

5 × 59 × 2671
Deficient Odd Composite

787,945 has digital root 4. The neighboring primes are 787939 and 787973; its proper-divisor sum differs from the starting integer by -613,970.

Prime Factor Structure

Factorization String 5 × 59 × 2671
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 961,920
Proper Divisor Sum 173,975
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #787939 ← → #787973

Radix Representation

Decimal 787945
Binary 11000000010111101001 (20 bits)
Octal 0o3002751
Hexadecimal 0xC05E9

Divisor Catalog (8)

1 5 59 295 2,671 13,355 157,589 787,945

Collatz Trajectory (149 steps to reach 1)

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

787,945 2,363,836 1,181,918 590,959 1,772,878 886,439 2,659,318 1,329,659 3,988,978 1,994,489 5,983,468 2,991,734 1,495,867 4,487,602 2,243,801 6,731,404 3,365,702 1,682,851 5,048,554 2,524,277 7,572,832 3,786,416 1,893,208 946,604 473,302 236,651 709,954 354,977 1,064,932 532,466 266,233 798,700 399,350 199,675 599,026 299,513 898,540 449,270 224,635 673,906 336,953 1,010,860 505,430 252,715 758,146 379,073 1,137,220 568,610 284,305 852,916 426,458 213,229 639,688 319,844 159,922 79,961 239,884 119,942 59,971 179,914

More profiles

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