λ
Harmonic Matrix

3,757,789

7 × 31 × 17317
Deficient Odd Composite

3,757,789 has digital root 1. The neighboring primes are 3757781 and 3757807; its proper-divisor sum differs from the starting integer by -3,082,170.

Prime Factor Structure

Factorization String 7 × 31 × 17317
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,433,408
Proper Divisor Sum 675,619
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #3757781 ← → #3757807

Radix Representation

Decimal 3757789
Binary 1110010101011011011101 (22 bits)
Octal 0o16253335
Hexadecimal 0x3956DD

Divisor Catalog (8)

1 7 31 217 17,317 121,219 536,827 3,757,789

Collatz Trajectory (110 steps to reach 1)

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

3,757,789 11,273,368 5,636,684 2,818,342 1,409,171 4,227,514 2,113,757 6,341,272 3,170,636 1,585,318 792,659 2,377,978 1,188,989 3,566,968 1,783,484 891,742 445,871 1,337,614 668,807 2,006,422 1,003,211 3,009,634 1,504,817 4,514,452 2,257,226 1,128,613 3,385,840 1,692,920 846,460 423,230 211,615 634,846 317,423 952,270 476,135 1,428,406 714,203 2,142,610 1,071,305 3,213,916 1,606,958 803,479 2,410,438 1,205,219 3,615,658 1,807,829 5,423,488 2,711,744 1,355,872 677,936 338,968 169,484 84,742 42,371 127,114 63,557 190,672 95,336 47,668 23,834

More profiles

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