λ
Harmonic Matrix

9,440,139

3 × 1571 × 2003
Deficient Odd Composite

9,440,139 has digital root 3. The neighboring primes are 9440113 and 9440149; its proper-divisor sum differs from the starting integer by -6,279,126.

Prime Factor Structure

Factorization String 3 × 1571 × 2003
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,601,152
Proper Divisor Sum 3,161,013
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9440113 ← → #9440149

Radix Representation

Decimal 9440139
Binary 100100000000101110001011 (24 bits)
Octal 0o44005613
Hexadecimal 0x900B8B

Divisor Catalog (8)

1 3 1,571 2,003 4,713 6,009 3,146,713 9,440,139

Collatz Trajectory (225 steps to reach 1)

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

9,440,139 28,320,418 14,160,209 42,480,628 21,240,314 10,620,157 31,860,472 15,930,236 7,965,118 3,982,559 11,947,678 5,973,839 17,921,518 8,960,759 26,882,278 13,441,139 40,323,418 20,161,709 60,485,128 30,242,564 15,121,282 7,560,641 22,681,924 11,340,962 5,670,481 17,011,444 8,505,722 4,252,861 12,758,584 6,379,292 3,189,646 1,594,823 4,784,470 2,392,235 7,176,706 3,588,353 10,765,060 5,382,530 2,691,265 8,073,796 4,036,898 2,018,449 6,055,348 3,027,674 1,513,837 4,541,512 2,270,756 1,135,378 567,689 1,703,068 851,534 425,767 1,277,302 638,651 1,915,954 957,977 2,873,932 1,436,966 718,483 2,155,450

More profiles

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