λ
Harmonic Matrix

2,828,515

5 × 29 × 19507
Deficient Odd Composite

2,828,515 has digital root 4. The neighboring primes are 2828491 and 2828521; its proper-divisor sum differs from the starting integer by -2,145,590.

Prime Factor Structure

Factorization String 5 × 29 × 19507
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,511,440
Proper Divisor Sum 682,925
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2828491 ← → #2828521

Radix Representation

Decimal 2828515
Binary 1010110010100011100011 (22 bits)
Octal 0o12624343
Hexadecimal 0x2B28E3

Divisor Catalog (8)

1 5 29 145 19,507 97,535 565,703 2,828,515

Collatz Trajectory (76 steps to reach 1)

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

2,828,515 8,485,546 4,242,773 12,728,320 6,364,160 3,182,080 1,591,040 795,520 397,760 198,880 99,440 49,720 24,860 12,430 6,215 18,646 9,323 27,970 13,985 41,956 20,978 10,489 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832 19,916 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14

More profiles

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