λ
Harmonic Matrix

1,050,396

22 × 3 × 17 × 19 × 271
Abundant Even Composite

1,050,396 has digital root 6. The neighboring primes are 1050391 and 1050421; its proper-divisor sum differs from the starting integer by 640,968.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 19 × 271
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,741,760
Proper Divisor Sum 1,691,364
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #1050391 ← → #1050421

Radix Representation

Decimal 1050396
Binary 100000000011100011100 (21 bits)
Octal 0o4003434
Hexadecimal 0x10071C

Divisor Catalog (48)

1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 271 323 542 646 813 969 1,084 1,292 1,626 1,938 3,252 3,876 4,607 5,149 9,214 10,298 13,821 15,447 18,428 20,596 27,642 30,894 55,284 61,788 87,533 175,066 262,599 350,132 525,198 1,050,396

Collatz Trajectory (72 steps to reach 1)

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

1,050,396 525,198 262,599 787,798 393,899 1,181,698 590,849 1,772,548 886,274 443,137 1,329,412 664,706 332,353 997,060 498,530 249,265 747,796 373,898 186,949 560,848 280,424 140,212 70,106 35,053 105,160 52,580 26,290 13,145 39,436 19,718 9,859 29,578 14,789 44,368 22,184 11,092 5,546 2,773 8,320 4,160 2,080 1,040 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34

More profiles

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