λ
Harmonic Matrix

1,576,116

22 × 32 × 43781
Abundant Even Composite

1,576,116 has digital root 9. The neighboring primes are 1576111 and 1576117; its proper-divisor sum differs from the starting integer by 831,930.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 43781
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 3,984,162
Proper Divisor Sum 2,408,046
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1576111 ← → #1576117

Radix Representation

Decimal 1576116
Binary 110000000110010110100 (21 bits)
Octal 0o6006264
Hexadecimal 0x180CB4

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 43,781 87,562 131,343 175,124 262,686 394,029 525,372 788,058 1,576,116

Collatz Trajectory (101 steps to reach 1)

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

1,576,116 788,058 394,029 1,182,088 591,044 295,522 147,761 443,284 221,642 110,821 332,464 166,232 83,116 41,558 20,779 62,338 31,169 93,508 46,754 23,377 70,132 35,066 17,533 52,600 26,300 13,150 6,575 19,726 9,863 29,590 14,795 44,386 22,193 66,580 33,290 16,645 49,936 24,968 12,484 6,242 3,121 9,364 4,682 2,341 7,024 3,512 1,756 878 439 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672

More profiles

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