λ
Harmonic Matrix

3,648,055

5 × 29 × 139 × 181
Deficient Odd Composite

3,648,055 has digital root 4. The neighboring primes are 3648041 and 3648067; its proper-divisor sum differs from the starting integer by -2,709,710.

Prime Factor Structure

Factorization String 5 × 29 × 139 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,586,400
Proper Divisor Sum 938,345
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3648041 ← → #3648067

Radix Representation

Decimal 3648055
Binary 1101111010101000110111 (22 bits)
Octal 0o15725067
Hexadecimal 0x37AA37

Divisor Catalog (16)

1 5 29 139 145 181 695 905 4,031 5,249 20,155 25,159 26,245 125,795 729,611 3,648,055

Collatz Trajectory (190 steps to reach 1)

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

3,648,055 10,944,166 5,472,083 16,416,250 8,208,125 24,624,376 12,312,188 6,156,094 3,078,047 9,234,142 4,617,071 13,851,214 6,925,607 20,776,822 10,388,411 31,165,234 15,582,617 46,747,852 23,373,926 11,686,963 35,060,890 17,530,445 52,591,336 26,295,668 13,147,834 6,573,917 19,721,752 9,860,876 4,930,438 2,465,219 7,395,658 3,697,829 11,093,488 5,546,744 2,773,372 1,386,686 693,343 2,080,030 1,040,015 3,120,046 1,560,023 4,680,070 2,340,035 7,020,106 3,510,053 10,530,160 5,265,080 2,632,540 1,316,270 658,135 1,974,406 987,203 2,961,610 1,480,805 4,442,416 2,221,208 1,110,604 555,302 277,651 832,954

More profiles

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