λ
Harmonic Matrix

1,566,876

22 × 3 × 37 × 3529
Abundant Even Composite

1,566,876 has digital root 3. The neighboring primes are 1566857 and 1566881; its proper-divisor sum differs from the starting integer by 622,168.

Prime Factor Structure

Factorization String 2^2 × 3 × 37 × 3529
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,755,920
Proper Divisor Sum 2,189,044
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1566857 ← → #1566881

Radix Representation

Decimal 1566876
Binary 101111110100010011100 (21 bits)
Octal 0o5764234
Hexadecimal 0x17E89C

Divisor Catalog (24)

1 2 3 4 6 12 37 74 111 148 222 444 3,529 7,058 10,587 14,116 21,174 42,348 130,573 261,146 391,719 522,292 783,438 1,566,876

Collatz Trajectory (194 steps to reach 1)

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

1,566,876 783,438 391,719 1,175,158 587,579 1,762,738 881,369 2,644,108 1,322,054 661,027 1,983,082 991,541 2,974,624 1,487,312 743,656 371,828 185,914 92,957 278,872 139,436 69,718 34,859 104,578 52,289 156,868 78,434 39,217 117,652 58,826 29,413 88,240 44,120 22,060 11,030 5,515 16,546 8,273 24,820 12,410 6,205 18,616 9,308 4,654 2,327 6,982 3,491 10,474 5,237 15,712 7,856 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660

More profiles

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