λ
Harmonic Matrix

1,126,032

24 × 3 × 23459
Abundant Even Composite

1,126,032 has digital root 6. The neighboring primes are 1126031 and 1126033; its proper-divisor sum differs from the starting integer by 656,976.

Prime Factor Structure

Factorization String 2^4 × 3 × 23459
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 2,909,040
Proper Divisor Sum 1,783,008
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1126031 ← → #1126033

Radix Representation

Decimal 1126032
Binary 100010010111010010000 (21 bits)
Octal 0o4227220
Hexadecimal 0x112E90

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 23,459 46,918 70,377 93,836 140,754 187,672 281,508 375,344 563,016 1,126,032

Collatz Trajectory (90 steps to reach 1)

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

1,126,032 563,016 281,508 140,754 70,377 211,132 105,566 52,783 158,350 79,175 237,526 118,763 356,290 178,145 534,436 267,218 133,609 400,828 200,414 100,207 300,622 150,311 450,934 225,467 676,402 338,201 1,014,604 507,302 253,651 760,954 380,477 1,141,432 570,716 285,358 142,679 428,038 214,019 642,058 321,029 963,088 481,544 240,772 120,386 60,193 180,580 90,290 45,145 135,436 67,718 33,859 101,578 50,789 152,368 76,184 38,092 19,046 9,523 28,570 14,285 42,856

More profiles

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