λ
Harmonic Matrix

5,781,775

52 × 231271
Deficient Odd Composite

5,781,775 has digital root 4. The neighboring primes are 5781749 and 5781791; its proper-divisor sum differs from the starting integer by -4,394,118.

Prime Factor Structure

Factorization String 5^2 × 231271
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 7,169,432
Proper Divisor Sum 1,387,657
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5781749 ← → #5781791

Radix Representation

Decimal 5781775
Binary 10110000011100100001111 (23 bits)
Octal 0o26034417
Hexadecimal 0x58390F

Divisor Catalog (6)

1 5 25 231,271 1,156,355 5,781,775

Collatz Trajectory (214 steps to reach 1)

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

5,781,775 17,345,326 8,672,663 26,017,990 13,008,995 39,026,986 19,513,493 58,540,480 29,270,240 14,635,120 7,317,560 3,658,780 1,829,390 914,695 2,744,086 1,372,043 4,116,130 2,058,065 6,174,196 3,087,098 1,543,549 4,630,648 2,315,324 1,157,662 578,831 1,736,494 868,247 2,604,742 1,302,371 3,907,114 1,953,557 5,860,672 2,930,336 1,465,168 732,584 366,292 183,146 91,573 274,720 137,360 68,680 34,340 17,170 8,585 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113

More profiles

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