λ
Harmonic Matrix

1,506,858

2 × 3 × 251143
Abundant Even Composite

1,506,858 has digital root 6. The neighboring primes are 1506851 and 1506877; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 251143
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,013,728
Proper Divisor Sum 1,506,870
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1506851 ← → #1506877

Radix Representation

Decimal 1506858
Binary 101101111111000101010 (21 bits)
Octal 0o5577052
Hexadecimal 0x16FE2A

Divisor Catalog (8)

1 2 3 6 251,143 502,286 753,429 1,506,858

Collatz Trajectory (181 steps to reach 1)

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

1,506,858 753,429 2,260,288 1,130,144 565,072 282,536 141,268 70,634 35,317 105,952 52,976 26,488 13,244 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177 33,532 16,766 8,383 25,150 12,575 37,726 18,863 56,590 28,295 84,886 42,443 127,330 63,665 190,996 95,498 47,749 143,248 71,624 35,812 17,906 8,953 26,860 13,430 6,715 20,146 10,073 30,220 15,110 7,555 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376 3,188 1,594

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