λ
Harmonic Matrix

8,049,167

7 × 1149881
Deficient Odd Composite

8,049,167 has digital root 8. The neighboring primes are 8049137 and 8049169; its proper-divisor sum differs from the starting integer by -6,899,278.

Prime Factor Structure

Factorization String 7 × 1149881
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,199,056
Proper Divisor Sum 1,149,889
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8049137 ← → #8049169

Radix Representation

Decimal 8049167
Binary 11110101101001000001111 (23 bits)
Octal 0o36551017
Hexadecimal 0x7AD20F

Divisor Catalog (4)

1 7 1,149,881 8,049,167

Collatz Trajectory (142 steps to reach 1)

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

8,049,167 24,147,502 12,073,751 36,221,254 18,110,627 54,331,882 27,165,941 81,497,824 40,748,912 20,374,456 10,187,228 5,093,614 2,546,807 7,640,422 3,820,211 11,460,634 5,730,317 17,190,952 8,595,476 4,297,738 2,148,869 6,446,608 3,223,304 1,611,652 805,826 402,913 1,208,740 604,370 302,185 906,556 453,278 226,639 679,918 339,959 1,019,878 509,939 1,529,818 764,909 2,294,728 1,147,364 573,682 286,841 860,524 430,262 215,131 645,394 322,697 968,092 484,046 242,023 726,070 363,035 1,089,106 544,553 1,633,660 816,830 408,415 1,225,246 612,623 1,837,870

More profiles

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