λ
Harmonic Matrix

5,728,337

17 × 336961
Deficient Odd Composite

5,728,337 has digital root 8. The neighboring primes are 5728319 and 5728363; its proper-divisor sum differs from the starting integer by -5,391,358.

Prime Factor Structure

Factorization String 17 × 336961
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,065,316
Proper Divisor Sum 336,979
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5728319 ← → #5728363

Radix Representation

Decimal 5728337
Binary 10101110110100001010001 (23 bits)
Octal 0o25664121
Hexadecimal 0x576851

Divisor Catalog (4)

1 17 336,961 5,728,337

Collatz Trajectory (121 steps to reach 1)

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

5,728,337 17,185,012 8,592,506 4,296,253 12,888,760 6,444,380 3,222,190 1,611,095 4,833,286 2,416,643 7,249,930 3,624,965 10,874,896 5,437,448 2,718,724 1,359,362 679,681 2,039,044 1,019,522 509,761 1,529,284 764,642 382,321 1,146,964 573,482 286,741 860,224 430,112 215,056 107,528 53,764 26,882 13,441 40,324 20,162 10,081 30,244 15,122 7,561 22,684 11,342 5,671 17,014 8,507 25,522 12,761 38,284 19,142 9,571 28,714 14,357 43,072 21,536 10,768 5,384 2,692 1,346 673 2,020 1,010

More profiles

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