λ
Harmonic Matrix

6,808,418

2 × 73 × 46633
Deficient Even Composite

6,808,418 has digital root 8. The neighboring primes are 6808409 and 6808421; its proper-divisor sum differs from the starting integer by -3,264,088.

Prime Factor Structure

Factorization String 2 × 73 × 46633
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,352,748
Proper Divisor Sum 3,544,330
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6808409 ← → #6808421

Radix Representation

Decimal 6808418
Binary 11001111110001101100010 (23 bits)
Octal 0o31761542
Hexadecimal 0x67E362

Divisor Catalog (8)

1 2 73 146 46,633 93,266 3,404,209 6,808,418

Collatz Trajectory (178 steps to reach 1)

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

6,808,418 3,404,209 10,212,628 5,106,314 2,553,157 7,659,472 3,829,736 1,914,868 957,434 478,717 1,436,152 718,076 359,038 179,519 538,558 269,279 807,838 403,919 1,211,758 605,879 1,817,638 908,819 2,726,458 1,363,229 4,089,688 2,044,844 1,022,422 511,211 1,533,634 766,817 2,300,452 1,150,226 575,113 1,725,340 862,670 431,335 1,294,006 647,003 1,941,010 970,505 2,911,516 1,455,758 727,879 2,183,638 1,091,819 3,275,458 1,637,729 4,913,188 2,456,594 1,228,297 3,684,892 1,842,446 921,223 2,763,670 1,381,835 4,145,506 2,072,753 6,218,260 3,109,130 1,554,565

More profiles

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