λ
Harmonic Matrix

9,787,363

149 × 65687
Deficient Odd Composite

9,787,363 has digital root 7. The neighboring primes are 9787343 and 9787373; its proper-divisor sum differs from the starting integer by -9,721,526.

Prime Factor Structure

Factorization String 149 × 65687
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,853,200
Proper Divisor Sum 65,837
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9787343 ← → #9787373

Radix Representation

Decimal 9787363
Binary 100101010101011111100011 (24 bits)
Octal 0o45253743
Hexadecimal 0x9557E3

Divisor Catalog (4)

1 149 65,687 9,787,363

Collatz Trajectory (114 steps to reach 1)

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

9,787,363 29,362,090 14,681,045 44,043,136 22,021,568 11,010,784 5,505,392 2,752,696 1,376,348 688,174 344,087 1,032,262 516,131 1,548,394 774,197 2,322,592 1,161,296 580,648 290,324 145,162 72,581 217,744 108,872 54,436 27,218 13,609 40,828 20,414 10,207 30,622 15,311 45,934 22,967 68,902 34,451 103,354 51,677 155,032 77,516 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727

More profiles

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