λ
Harmonic Matrix

730,543

11 × 66413
Deficient Odd Composite

730,543 has digital root 4. The neighboring primes are 730537 and 730553; its proper-divisor sum differs from the starting integer by -664,118.

Prime Factor Structure

Factorization String 11 × 66413
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 796,968
Proper Divisor Sum 66,425
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #730537 ← → #730553

Radix Representation

Decimal 730543
Binary 10110010010110101111 (20 bits)
Octal 0o2622657
Hexadecimal 0xB25AF

Divisor Catalog (4)

1 11 66,413 730,543

Collatz Trajectory (87 steps to reach 1)

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

730,543 2,191,630 1,095,815 3,287,446 1,643,723 4,931,170 2,465,585 7,396,756 3,698,378 1,849,189 5,547,568 2,773,784 1,386,892 693,446 346,723 1,040,170 520,085 1,560,256 780,128 390,064 195,032 97,516 48,758 24,379 73,138 36,569 109,708 54,854 27,427 82,282 41,141 123,424 61,712 30,856 15,428 7,714 3,857 11,572 5,786 2,893 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130

More profiles

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