λ
Harmonic Matrix

4,249,088

29 × 43 × 193
Abundant Even Composite

4,249,088 has digital root 8. The neighboring primes are 4249087 and 4249097; its proper-divisor sum differs from the starting integer by 234,152.

Prime Factor Structure

Factorization String 2^9 × 43 × 193
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,732,328
Proper Divisor Sum 4,483,240
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4249087 ← → #4249097

Radix Representation

Decimal 4249088
Binary 10000001101011000000000 (23 bits)
Octal 0o20153000
Hexadecimal 0x40D600

Divisor Catalog (40)

1 2 4 8 16 32 43 64 86 128 172 193 256 344 386 512 688 772 1,376 1,544 2,752 3,088 5,504 6,176 8,299 11,008 12,352 16,598 22,016 24,704 33,196 49,408 66,392 98,816 132,784 265,568 531,136 1,062,272 2,124,544 4,249,088

Collatz Trajectory (167 steps to reach 1)

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

4,249,088 2,124,544 1,062,272 531,136 265,568 132,784 66,392 33,196 16,598 8,299 24,898 12,449 37,348 18,674 9,337 28,012 14,006 7,003 21,010 10,505 31,516 15,758 7,879 23,638 11,819 35,458 17,729 53,188 26,594 13,297 39,892 19,946 9,973 29,920 14,960 7,480 3,740 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125

More profiles

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