λ
Harmonic Matrix

4,198,445

5 × 179 × 4691
Deficient Odd Composite

4,198,445 has digital root 8. The neighboring primes are 4198433 and 4198457; its proper-divisor sum differs from the starting integer by -3,329,530.

Prime Factor Structure

Factorization String 5 × 179 × 4691
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,067,360
Proper Divisor Sum 868,915
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4198433 ← → #4198457

Radix Representation

Decimal 4198445
Binary 10000000001000000101101 (23 bits)
Octal 0o20010055
Hexadecimal 0x40102D

Divisor Catalog (8)

1 5 179 895 4,691 23,455 839,689 4,198,445

Collatz Trajectory (154 steps to reach 1)

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

4,198,445 12,595,336 6,297,668 3,148,834 1,574,417 4,723,252 2,361,626 1,180,813 3,542,440 1,771,220 885,610 442,805 1,328,416 664,208 332,104 166,052 83,026 41,513 124,540 62,270 31,135 93,406 46,703 140,110 70,055 210,166 105,083 315,250 157,625 472,876 236,438 118,219 354,658 177,329 531,988 265,994 132,997 398,992 199,496 99,748 49,874 24,937 74,812 37,406 18,703 56,110 28,055 84,166 42,083 126,250 63,125 189,376 94,688 47,344 23,672 11,836 5,918 2,959 8,878 4,439

More profiles

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