λ
Harmonic Matrix

8,049,071

89 × 90439
Deficient Odd Composite

8,049,071 has digital root 2. The neighboring primes are 8049061 and 8049077; its proper-divisor sum differs from the starting integer by -7,958,542.

Prime Factor Structure

Factorization String 89 × 90439
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,139,600
Proper Divisor Sum 90,529
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8049061 ← → #8049077

Radix Representation

Decimal 8049071
Binary 11110101101000110101111 (23 bits)
Octal 0o36550657
Hexadecimal 0x7AD1AF

Divisor Catalog (4)

1 89 90,439 8,049,071

Collatz Trajectory (186 steps to reach 1)

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

8,049,071 24,147,214 12,073,607 36,220,822 18,110,411 54,331,234 27,165,617 81,496,852 40,748,426 20,374,213 61,122,640 30,561,320 15,280,660 7,640,330 3,820,165 11,460,496 5,730,248 2,865,124 1,432,562 716,281 2,148,844 1,074,422 537,211 1,611,634 805,817 2,417,452 1,208,726 604,363 1,813,090 906,545 2,719,636 1,359,818 679,909 2,039,728 1,019,864 509,932 254,966 127,483 382,450 191,225 573,676 286,838 143,419 430,258 215,129 645,388 322,694 161,347 484,042 242,021 726,064 363,032 181,516 90,758 45,379 136,138 68,069 204,208 102,104 51,052

More profiles

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