λ
Harmonic Matrix

7,490,145

3 × 5 × 13 × 71 × 541
Deficient Odd Composite

7,490,145 has digital root 3. The neighboring primes are 7490143 and 7490159; its proper-divisor sum differs from the starting integer by -1,868,226.

Prime Factor Structure

Factorization String 3 × 5 × 13 × 71 × 541
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,112,064
Proper Divisor Sum 5,621,919
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7490143 ← → #7490159

Radix Representation

Decimal 7490145
Binary 11100100100101001100001 (23 bits)
Octal 0o34445141
Hexadecimal 0x724A61

Divisor Catalog (32)

1 3 5 13 15 39 65 71 195 213 355 541 923 1,065 1,623 2,705 2,769 4,615 7,033 8,115 13,845 21,099 35,165 38,411 105,495 115,233 192,055 499,343 576,165 1,498,029 2,496,715 7,490,145

Collatz Trajectory (134 steps to reach 1)

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

7,490,145 22,470,436 11,235,218 5,617,609 16,852,828 8,426,414 4,213,207 12,639,622 6,319,811 18,959,434 9,479,717 28,439,152 14,219,576 7,109,788 3,554,894 1,777,447 5,332,342 2,666,171 7,998,514 3,999,257 11,997,772 5,998,886 2,999,443 8,998,330 4,499,165 13,497,496 6,748,748 3,374,374 1,687,187 5,061,562 2,530,781 7,592,344 3,796,172 1,898,086 949,043 2,847,130 1,423,565 4,270,696 2,135,348 1,067,674 533,837 1,601,512 800,756 400,378 200,189 600,568 300,284 150,142 75,071 225,214 112,607 337,822 168,911 506,734 253,367 760,102 380,051 1,140,154 570,077 1,710,232

More profiles

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