λ
Harmonic Matrix

8,417,768

23 × 1052221
Deficient Even Composite

8,417,768 has digital root 5. The neighboring primes are 8417749 and 8417791; its proper-divisor sum differs from the starting integer by -1,052,206.

Prime Factor Structure

Factorization String 2^3 × 1052221
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,783,330
Proper Divisor Sum 7,365,562
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #8417749 ← → #8417791

Radix Representation

Decimal 8417768
Binary 100000000111000111101000 (24 bits)
Octal 0o40070750
Hexadecimal 0x8071E8

Divisor Catalog (8)

1 2 4 8 1,052,221 2,104,442 4,208,884 8,417,768

Collatz Trajectory (168 steps to reach 1)

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

8,417,768 4,208,884 2,104,442 1,052,221 3,156,664 1,578,332 789,166 394,583 1,183,750 591,875 1,775,626 887,813 2,663,440 1,331,720 665,860 332,930 166,465 499,396 249,698 124,849 374,548 187,274 93,637 280,912 140,456 70,228 35,114 17,557 52,672 26,336 13,168 6,584 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322 661 1,984 992 496 248

More profiles

← Previous Integer #8,417,767 Browse Full Index Next Integer #8,417,769 →