λ
Harmonic Matrix

8,046,307

251 × 32057
Deficient Odd Composite

8,046,307 has digital root 1. The neighboring primes are 8046299 and 8046331; its proper-divisor sum differs from the starting integer by -8,013,998.

Prime Factor Structure

Factorization String 251 × 32057
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,078,616
Proper Divisor Sum 32,309
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8046299 ← → #8046331

Radix Representation

Decimal 8046307
Binary 11110101100011011100011 (23 bits)
Octal 0o36543343
Hexadecimal 0x7AC6E3

Divisor Catalog (4)

1 251 32,057 8,046,307

Collatz Trajectory (230 steps to reach 1)

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

8,046,307 24,138,922 12,069,461 36,208,384 18,104,192 9,052,096 4,526,048 2,263,024 1,131,512 565,756 282,878 141,439 424,318 212,159 636,478 318,239 954,718 477,359 1,432,078 716,039 2,148,118 1,074,059 3,222,178 1,611,089 4,833,268 2,416,634 1,208,317 3,624,952 1,812,476 906,238 453,119 1,359,358 679,679 2,039,038 1,019,519 3,058,558 1,529,279 4,587,838 2,293,919 6,881,758 3,440,879 10,322,638 5,161,319 15,483,958 7,741,979 23,225,938 11,612,969 34,838,908 17,419,454 8,709,727 26,129,182 13,064,591 39,193,774 19,596,887 58,790,662 29,395,331 88,185,994 44,092,997 132,278,992 66,139,496

More profiles

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