λ
Harmonic Matrix

1,524,649

7 × 173 × 1259
Deficient Odd Composite

1,524,649 has digital root 4. The neighboring primes are 1524641 and 1524683; its proper-divisor sum differs from the starting integer by -1,295,378.

Prime Factor Structure

Factorization String 7 × 173 × 1259
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,753,920
Proper Divisor Sum 229,271
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #1524641 ← → #1524683

Radix Representation

Decimal 1524649
Binary 101110100001110101001 (21 bits)
Octal 0o5641651
Hexadecimal 0x1743A9

Divisor Catalog (8)

1 7 173 1,211 1,259 8,813 217,807 1,524,649

Collatz Trajectory (80 steps to reach 1)

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

1,524,649 4,573,948 2,286,974 1,143,487 3,430,462 1,715,231 5,145,694 2,572,847 7,718,542 3,859,271 11,577,814 5,788,907 17,366,722 8,683,361 26,050,084 13,025,042 6,512,521 19,537,564 9,768,782 4,884,391 14,653,174 7,326,587 21,979,762 10,989,881 32,969,644 16,484,822 8,242,411 24,727,234 12,363,617 37,090,852 18,545,426 9,272,713 27,818,140 13,909,070 6,954,535 20,863,606 10,431,803 31,295,410 15,647,705 46,943,116 23,471,558 11,735,779 35,207,338 17,603,669 52,811,008 26,405,504 13,202,752 6,601,376 3,300,688 1,650,344 825,172 412,586 206,293 618,880 309,440 154,720 77,360 38,680 19,340 9,670

More profiles

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