λ
Harmonic Matrix

8,734,737

3 × 11 × 19 × 13931
Deficient Odd Composite

8,734,737 has digital root 3. The neighboring primes are 8734729 and 8734741; its proper-divisor sum differs from the starting integer by -4,094,754.

Prime Factor Structure

Factorization String 3 × 11 × 19 × 13931
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,374,720
Proper Divisor Sum 4,639,983
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8734729 ← → #8734741

Radix Representation

Decimal 8734737
Binary 100001010100100000010001 (24 bits)
Octal 0o41244021
Hexadecimal 0x854811

Divisor Catalog (16)

1 3 11 19 33 57 209 627 13,931 41,793 153,241 264,689 459,723 794,067 2,911,579 8,734,737

Collatz Trajectory (199 steps to reach 1)

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

8,734,737 26,204,212 13,102,106 6,551,053 19,653,160 9,826,580 4,913,290 2,456,645 7,369,936 3,684,968 1,842,484 921,242 460,621 1,381,864 690,932 345,466 172,733 518,200 259,100 129,550 64,775 194,326 97,163 291,490 145,745 437,236 218,618 109,309 327,928 163,964 81,982 40,991 122,974 61,487 184,462 92,231 276,694 138,347 415,042 207,521 622,564 311,282 155,641 466,924 233,462 116,731 350,194 175,097 525,292 262,646 131,323 393,970 196,985 590,956 295,478 147,739 443,218 221,609 664,828 332,414

More profiles

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