λ
Harmonic Matrix

8,551,397

8551397
Deficient Odd Prime

8,551,397 has digital root 2. The neighboring primes are 8551393 and 8551409; its proper-divisor sum differs from the starting integer by -8,551,396.

Prime Factor Structure

Factorization String 8551397
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 8,551,398
Proper Divisor Sum 1
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8551393 ← → #8551409

Radix Representation

Decimal 8551397
Binary 100000100111101111100101 (24 bits)
Octal 0o40475745
Hexadecimal 0x827BE5

Divisor Catalog (2)

Collatz Trajectory (124 steps to reach 1)

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

8,551,397 25,654,192 12,827,096 6,413,548 3,206,774 1,603,387 4,810,162 2,405,081 7,215,244 3,607,622 1,803,811 5,411,434 2,705,717 8,117,152 4,058,576 2,029,288 1,014,644 507,322 253,661 760,984 380,492 190,246 95,123 285,370 142,685 428,056 214,028 107,014 53,507 160,522 80,261 240,784 120,392 60,196 30,098 15,049 45,148 22,574 11,287 33,862 16,931 50,794 25,397 76,192 38,096 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510

More profiles

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