λ
Harmonic Matrix

8,170,649

8170649
Deficient Odd Prime

8,170,649 has digital root 8. The neighboring primes are 8170619 and 8170697; its proper-divisor sum differs from the starting integer by -8,170,648.

Prime Factor Structure

Factorization String 8170649
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,170,650
Proper Divisor Sum 1
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8170619 ← → #8170697

Radix Representation

Decimal 8170649
Binary 11111001010110010011001 (23 bits)
Octal 0o37126231
Hexadecimal 0x7CAC99

Divisor Catalog (2)

Collatz Trajectory (186 steps to reach 1)

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

8,170,649 24,511,948 12,255,974 6,127,987 18,383,962 9,191,981 27,575,944 13,787,972 6,893,986 3,446,993 10,340,980 5,170,490 2,585,245 7,755,736 3,877,868 1,938,934 969,467 2,908,402 1,454,201 4,362,604 2,181,302 1,090,651 3,271,954 1,635,977 4,907,932 2,453,966 1,226,983 3,680,950 1,840,475 5,521,426 2,760,713 8,282,140 4,141,070 2,070,535 6,211,606 3,105,803 9,317,410 4,658,705 13,976,116 6,988,058 3,494,029 10,482,088 5,241,044 2,620,522 1,310,261 3,930,784 1,965,392 982,696 491,348 245,674 122,837 368,512 184,256 92,128 46,064 23,032 11,516 5,758 2,879 8,638

More profiles

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