λ
Harmonic Matrix

9,164,978

2 × 107 × 113 × 379
Deficient Even Composite

9,164,978 has digital root 8. The neighboring primes are 9164959 and 9165007; its proper-divisor sum differs from the starting integer by -4,294,276.

Prime Factor Structure

Factorization String 2 × 107 × 113 × 379
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,035,680
Proper Divisor Sum 4,870,702
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #9164959 ← → #9165007

Radix Representation

Decimal 9164978
Binary 100010111101100010110010 (24 bits)
Octal 0o42754262
Hexadecimal 0x8BD8B2

Divisor Catalog (16)

1 2 107 113 214 226 379 758 12,091 24,182 40,553 42,827 81,106 85,654 4,582,489 9,164,978

Collatz Trajectory (132 steps to reach 1)

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

9,164,978 4,582,489 13,747,468 6,873,734 3,436,867 10,310,602 5,155,301 15,465,904 7,732,952 3,866,476 1,933,238 966,619 2,899,858 1,449,929 4,349,788 2,174,894 1,087,447 3,262,342 1,631,171 4,893,514 2,446,757 7,340,272 3,670,136 1,835,068 917,534 458,767 1,376,302 688,151 2,064,454 1,032,227 3,096,682 1,548,341 4,645,024 2,322,512 1,161,256 580,628 290,314 145,157 435,472 217,736 108,868 54,434 27,217 81,652 40,826 20,413 61,240 30,620 15,310 7,655 22,966 11,483 34,450 17,225 51,676 25,838 12,919 38,758 19,379 58,138

More profiles

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