λ
Harmonic Matrix

1,864,974

2 × 3 × 310829
Abundant Even Composite

1,864,974 has digital root 3. The neighboring primes are 1864939 and 1864979; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 310829
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,729,960
Proper Divisor Sum 1,864,986
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1864939 ← → #1864979

Radix Representation

Decimal 1864974
Binary 111000111010100001110 (21 bits)
Octal 0o7072416
Hexadecimal 0x1C750E

Divisor Catalog (8)

1 2 3 6 310,829 621,658 932,487 1,864,974

Collatz Trajectory (109 steps to reach 1)

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

1,864,974 932,487 2,797,462 1,398,731 4,196,194 2,098,097 6,294,292 3,147,146 1,573,573 4,720,720 2,360,360 1,180,180 590,090 295,045 885,136 442,568 221,284 110,642 55,321 165,964 82,982 41,491 124,474 62,237 186,712 93,356 46,678 23,339 70,018 35,009 105,028 52,514 26,257 78,772 39,386 19,693 59,080 29,540 14,770 7,385 22,156 11,078 5,539 16,618 8,309 24,928 12,464 6,232 3,116 1,558 779 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329

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