λ
Harmonic Matrix

7,926,199

17 × 466247
Deficient Odd Composite

7,926,199 has digital root 7. The neighboring primes are 7926187 and 7926229; its proper-divisor sum differs from the starting integer by -7,459,934.

Prime Factor Structure

Factorization String 17 × 466247
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,392,464
Proper Divisor Sum 466,265
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7926187 ← → #7926229

Radix Representation

Decimal 7926199
Binary 11110001111000110110111 (23 bits)
Octal 0o36170667
Hexadecimal 0x78F1B7

Divisor Catalog (4)

1 17 466,247 7,926,199

Collatz Trajectory (168 steps to reach 1)

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

7,926,199 23,778,598 11,889,299 35,667,898 17,833,949 53,501,848 26,750,924 13,375,462 6,687,731 20,063,194 10,031,597 30,094,792 15,047,396 7,523,698 3,761,849 11,285,548 5,642,774 2,821,387 8,464,162 4,232,081 12,696,244 6,348,122 3,174,061 9,522,184 4,761,092 2,380,546 1,190,273 3,570,820 1,785,410 892,705 2,678,116 1,339,058 669,529 2,008,588 1,004,294 502,147 1,506,442 753,221 2,259,664 1,129,832 564,916 282,458 141,229 423,688 211,844 105,922 52,961 158,884 79,442 39,721 119,164 59,582 29,791 89,374 44,687 134,062 67,031 201,094 100,547 301,642

More profiles

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