λ
Harmonic Matrix

8,249,745

3 × 5 × 7 × 78569
Deficient Odd Composite

8,249,745 has digital root 3. The neighboring primes are 8249723 and 8249783; its proper-divisor sum differs from the starting integer by -1,414,050.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 78569
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,085,440
Proper Divisor Sum 6,835,695
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8249723 ← → #8249783

Radix Representation

Decimal 8249745
Binary 11111011110000110010001 (23 bits)
Octal 0o37360621
Hexadecimal 0x7DE191

Divisor Catalog (16)

1 3 5 7 15 21 35 105 78,569 235,707 392,845 549,983 1,178,535 1,649,949 2,749,915 8,249,745

Collatz Trajectory (199 steps to reach 1)

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

8,249,745 24,749,236 12,374,618 6,187,309 18,561,928 9,280,964 4,640,482 2,320,241 6,960,724 3,480,362 1,740,181 5,220,544 2,610,272 1,305,136 652,568 326,284 163,142 81,571 244,714 122,357 367,072 183,536 91,768 45,884 22,942 11,471 34,414 17,207 51,622 25,811 77,434 38,717 116,152 58,076 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723

More profiles

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