λ
Harmonic Matrix

2,535,765

3 × 5 × 71 × 2381
Deficient Odd Composite

2,535,765 has digital root 6. The neighboring primes are 2535763 and 2535781; its proper-divisor sum differs from the starting integer by -955,434.

Prime Factor Structure

Factorization String 3 × 5 × 71 × 2381
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,116,096
Proper Divisor Sum 1,580,331
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2535763 ← → #2535781

Radix Representation

Decimal 2535765
Binary 1001101011000101010101 (22 bits)
Octal 0o11530525
Hexadecimal 0x26B155

Divisor Catalog (16)

1 3 5 15 71 213 355 1,065 2,381 7,143 11,905 35,715 169,051 507,153 845,255 2,535,765

Collatz Trajectory (50 steps to reach 1)

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

2,535,765 7,607,296 3,803,648 1,901,824 950,912 475,456 237,728 118,864 59,432 29,716 14,858 7,429 22,288 11,144 5,572 2,786 1,393 4,180 2,090 1,045 3,136 1,568 784 392 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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