λ
Harmonic Matrix

8,388,957

3 × 229 × 12211
Deficient Odd Composite

8,388,957 has digital root 3. The neighboring primes are 8388953 and 8388971; its proper-divisor sum differs from the starting integer by -5,542,874.

Prime Factor Structure

Factorization String 3 × 229 × 12211
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,235,040
Proper Divisor Sum 2,846,083
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #8388953 ← → #8388971

Radix Representation

Decimal 8388957
Binary 100000000000000101011101 (24 bits)
Octal 0o40000535
Hexadecimal 0x80015D

Divisor Catalog (8)

1 3 229 687 12,211 36,633 2,796,319 8,388,957

Collatz Trajectory (106 steps to reach 1)

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

8,388,957 25,166,872 12,583,436 6,291,718 3,145,859 9,437,578 4,718,789 14,156,368 7,078,184 3,539,092 1,769,546 884,773 2,654,320 1,327,160 663,580 331,790 165,895 497,686 248,843 746,530 373,265 1,119,796 559,898 279,949 839,848 419,924 209,962 104,981 314,944 157,472 78,736 39,368 19,684 9,842 4,921 14,764 7,382 3,691 11,074 5,537 16,612 8,306 4,153 12,460 6,230 3,115 9,346 4,673 14,020 7,010 3,505 10,516 5,258 2,629 7,888 3,944 1,972 986 493 1,480

More profiles

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