λ
Harmonic Matrix

3,719,761

71 × 52391
Deficient Odd Composite

3,719,761 has digital root 7. The neighboring primes are 3719759 and 3719777; its proper-divisor sum differs from the starting integer by -3,667,298.

Prime Factor Structure

Factorization String 71 × 52391
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,772,224
Proper Divisor Sum 52,463
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3719759 ← → #3719777

Radix Representation

Decimal 3719761
Binary 1110001100001001010001 (22 bits)
Octal 0o16141121
Hexadecimal 0x38C251

Divisor Catalog (4)

1 71 52,391 3,719,761

Collatz Trajectory (172 steps to reach 1)

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

3,719,761 11,159,284 5,579,642 2,789,821 8,369,464 4,184,732 2,092,366 1,046,183 3,138,550 1,569,275 4,707,826 2,353,913 7,061,740 3,530,870 1,765,435 5,296,306 2,648,153 7,944,460 3,972,230 1,986,115 5,958,346 2,979,173 8,937,520 4,468,760 2,234,380 1,117,190 558,595 1,675,786 837,893 2,513,680 1,256,840 628,420 314,210 157,105 471,316 235,658 117,829 353,488 176,744 88,372 44,186 22,093 66,280 33,140 16,570 8,285 24,856 12,428 6,214 3,107 9,322 4,661 13,984 6,992 3,496 1,748 874 437 1,312 656

More profiles

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