λ
Harmonic Matrix

1,095,333

3 × 233 × 1567
Deficient Odd Composite

1,095,333 has digital root 6. The neighboring primes are 1095319 and 1095343; its proper-divisor sum differs from the starting integer by -723,018.

Prime Factor Structure

Factorization String 3 × 233 × 1567
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,467,648
Proper Divisor Sum 372,315
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1095319 ← → #1095343

Radix Representation

Decimal 1095333
Binary 100001011011010100101 (21 bits)
Octal 0o4133245
Hexadecimal 0x10B6A5

Divisor Catalog (8)

1 3 233 699 1,567 4,701 365,111 1,095,333

Collatz Trajectory (85 steps to reach 1)

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

1,095,333 3,286,000 1,643,000 821,500 410,750 205,375 616,126 308,063 924,190 462,095 1,386,286 693,143 2,079,430 1,039,715 3,119,146 1,559,573 4,678,720 2,339,360 1,169,680 584,840 292,420 146,210 73,105 219,316 109,658 54,829 164,488 82,244 41,122 20,561 61,684 30,842 15,421 46,264 23,132 11,566 5,783 17,350 8,675 26,026 13,013 39,040 19,520 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196

More profiles

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