λ
Harmonic Matrix

8,737,862

2 × 7 × 624133
Deficient Even Composite

8,737,862 has digital root 5. The neighboring primes are 8737849 and 8737867; its proper-divisor sum differs from the starting integer by -2,496,508.

Prime Factor Structure

Factorization String 2 × 7 × 624133
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,979,216
Proper Divisor Sum 6,241,354
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #8737849 ← → #8737867

Radix Representation

Decimal 8737862
Binary 100001010101010001000110 (24 bits)
Octal 0o41252106
Hexadecimal 0x855446

Divisor Catalog (8)

1 2 7 14 624,133 1,248,266 4,368,931 8,737,862

Collatz Trajectory (212 steps to reach 1)

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

8,737,862 4,368,931 13,106,794 6,553,397 19,660,192 9,830,096 4,915,048 2,457,524 1,228,762 614,381 1,843,144 921,572 460,786 230,393 691,180 345,590 172,795 518,386 259,193 777,580 388,790 194,395 583,186 291,593 874,780 437,390 218,695 656,086 328,043 984,130 492,065 1,476,196 738,098 369,049 1,107,148 553,574 276,787 830,362 415,181 1,245,544 622,772 311,386 155,693 467,080 233,540 116,770 58,385 175,156 87,578 43,789 131,368 65,684 32,842 16,421 49,264 24,632 12,316 6,158 3,079 9,238

More profiles

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