λ
Harmonic Matrix

2,088,235

5 × 149 × 2803
Deficient Odd Composite

2,088,235 has digital root 1. The neighboring primes are 2088227 and 2088241; its proper-divisor sum differs from the starting integer by -1,652,870.

Prime Factor Structure

Factorization String 5 × 149 × 2803
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,523,600
Proper Divisor Sum 435,365
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2088227 ← → #2088241

Radix Representation

Decimal 2088235
Binary 111111101110100101011 (21 bits)
Octal 0o7756453
Hexadecimal 0x1FDD2B

Divisor Catalog (8)

1 5 149 745 2,803 14,015 417,647 2,088,235

Collatz Trajectory (303 steps to reach 1)

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

2,088,235 6,264,706 3,132,353 9,397,060 4,698,530 2,349,265 7,047,796 3,523,898 1,761,949 5,285,848 2,642,924 1,321,462 660,731 1,982,194 991,097 2,973,292 1,486,646 743,323 2,229,970 1,114,985 3,344,956 1,672,478 836,239 2,508,718 1,254,359 3,763,078 1,881,539 5,644,618 2,822,309 8,466,928 4,233,464 2,116,732 1,058,366 529,183 1,587,550 793,775 2,381,326 1,190,663 3,571,990 1,785,995 5,357,986 2,678,993 8,036,980 4,018,490 2,009,245 6,027,736 3,013,868 1,506,934 753,467 2,260,402 1,130,201 3,390,604 1,695,302 847,651 2,542,954 1,271,477 3,814,432 1,907,216 953,608 476,804

More profiles

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