λ
Harmonic Matrix

9,642,278

2 × 73 × 211 × 313
Deficient Even Composite

9,642,278 has digital root 2. The neighboring primes are 9642263 and 9642287; its proper-divisor sum differs from the starting integer by -4,506,460.

Prime Factor Structure

Factorization String 2 × 73 × 211 × 313
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,778,096
Proper Divisor Sum 5,135,818
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #9642263 ← → #9642287

Radix Representation

Decimal 9642278
Binary 100100110010000100100110 (24 bits)
Octal 0o44620446
Hexadecimal 0x932126

Divisor Catalog (16)

1 2 73 146 211 313 422 626 15,403 22,849 30,806 45,698 66,043 132,086 4,821,139 9,642,278

Collatz Trajectory (132 steps to reach 1)

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

9,642,278 4,821,139 14,463,418 7,231,709 21,695,128 10,847,564 5,423,782 2,711,891 8,135,674 4,067,837 12,203,512 6,101,756 3,050,878 1,525,439 4,576,318 2,288,159 6,864,478 3,432,239 10,296,718 5,148,359 15,445,078 7,722,539 23,167,618 11,583,809 34,751,428 17,375,714 8,687,857 26,063,572 13,031,786 6,515,893 19,547,680 9,773,840 4,886,920 2,443,460 1,221,730 610,865 1,832,596 916,298 458,149 1,374,448 687,224 343,612 171,806 85,903 257,710 128,855 386,566 193,283 579,850 289,925 869,776 434,888 217,444 108,722 54,361 163,084 81,542 40,771 122,314 61,157

More profiles

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