λ
Harmonic Matrix

1,013,276

22 × 11 × 23029
Deficient Even Composite

1,013,276 has digital root 2. The neighboring primes are 1013267 and 1013279; its proper-divisor sum differs from the starting integer by -92,032.

Prime Factor Structure

Factorization String 2^2 × 11 × 23029
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,934,520
Proper Divisor Sum 921,244
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1013267 ← → #1013279

Radix Representation

Decimal 1013276
Binary 11110111011000011100 (20 bits)
Octal 0o3673034
Hexadecimal 0xF761C

Divisor Catalog (12)

1 2 4 11 22 44 23,029 46,058 92,116 253,319 506,638 1,013,276

Collatz Trajectory (108 steps to reach 1)

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

1,013,276 506,638 253,319 759,958 379,979 1,139,938 569,969 1,709,908 854,954 427,477 1,282,432 641,216 320,608 160,304 80,152 40,076 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079

More profiles

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