λ
Harmonic Matrix

9,038,794

2 × 19 × 31 × 7673
Deficient Even Composite

9,038,794 has digital root 4. The neighboring primes are 9038789 and 9038831; its proper-divisor sum differs from the starting integer by -3,343,508.

Prime Factor Structure

Factorization String 2 × 19 × 31 × 7673
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,734,080
Proper Divisor Sum 5,695,286
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9038789 ← → #9038831

Radix Representation

Decimal 9038794
Binary 100010011110101111001010 (24 bits)
Octal 0o42365712
Hexadecimal 0x89EBCA

Divisor Catalog (16)

1 2 19 31 38 62 589 1,178 7,673 15,346 145,787 237,863 291,574 475,726 4,519,397 9,038,794

Collatz Trajectory (163 steps to reach 1)

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

9,038,794 4,519,397 13,558,192 6,779,096 3,389,548 1,694,774 847,387 2,542,162 1,271,081 3,813,244 1,906,622 953,311 2,859,934 1,429,967 4,289,902 2,144,951 6,434,854 3,217,427 9,652,282 4,826,141 14,478,424 7,239,212 3,619,606 1,809,803 5,429,410 2,714,705 8,144,116 4,072,058 2,036,029 6,108,088 3,054,044 1,527,022 763,511 2,290,534 1,145,267 3,435,802 1,717,901 5,153,704 2,576,852 1,288,426 644,213 1,932,640 966,320 483,160 241,580 120,790 60,395 181,186 90,593 271,780 135,890 67,945 203,836 101,918 50,959 152,878 76,439 229,318 114,659 343,978

More profiles

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