λ
Harmonic Matrix

1,101,980

22 × 5 × 11 × 5009
Abundant Even Composite

1,101,980 has digital root 2. The neighboring primes are 1101967 and 1102001; its proper-divisor sum differs from the starting integer by 321,080.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 5009
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,525,040
Proper Divisor Sum 1,423,060
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1101967 ← → #1102001

Radix Representation

Decimal 1101980
Binary 100001101000010011100 (21 bits)
Octal 0o4150234
Hexadecimal 0x10D09C

Divisor Catalog (24)

1 2 4 5 10 11 20 22 44 55 110 220 5,009 10,018 20,036 25,045 50,090 55,099 100,180 110,198 220,396 275,495 550,990 1,101,980

Collatz Trajectory (116 steps to reach 1)

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

1,101,980 550,990 275,495 826,486 413,243 1,239,730 619,865 1,859,596 929,798 464,899 1,394,698 697,349 2,092,048 1,046,024 523,012 261,506 130,753 392,260 196,130 98,065 294,196 147,098 73,549 220,648 110,324 55,162 27,581 82,744 41,372 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366 26,183 78,550 39,275 117,826 58,913 176,740 88,370 44,185 132,556 66,278 33,139 99,418 49,709 149,128 74,564 37,282 18,641 55,924 27,962 13,981 41,944

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