λ
Harmonic Matrix

8,374,887

33 × 310181
Deficient Odd Composite

8,374,887 has digital root 9. The neighboring primes are 8374871 and 8374907; its proper-divisor sum differs from the starting integer by -4,342,494.

Prime Factor Structure

Factorization String 3^3 × 310181
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,407,280
Proper Divisor Sum 4,032,393
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #8374871 ← → #8374907

Radix Representation

Decimal 8374887
Binary 11111111100101001100111 (23 bits)
Octal 0o37745147
Hexadecimal 0x7FCA67

Divisor Catalog (8)

1 3 9 27 310,181 930,543 2,791,629 8,374,887

Collatz Trajectory (106 steps to reach 1)

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

8,374,887 25,124,662 12,562,331 37,686,994 18,843,497 56,530,492 28,265,246 14,132,623 42,397,870 21,198,935 63,596,806 31,798,403 95,395,210 47,697,605 143,092,816 71,546,408 35,773,204 17,886,602 8,943,301 26,829,904 13,414,952 6,707,476 3,353,738 1,676,869 5,030,608 2,515,304 1,257,652 628,826 314,413 943,240 471,620 235,810 117,905 353,716 176,858 88,429 265,288 132,644 66,322 33,161 99,484 49,742 24,871 74,614 37,307 111,922 55,961 167,884 83,942 41,971 125,914 62,957 188,872 94,436 47,218 23,609 70,828 35,414 17,707 53,122

More profiles

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