λ
Harmonic Matrix

9,400,003

19 × 494737
Deficient Odd Composite

9,400,003 has digital root 7. The neighboring primes are 9399989 and 9400009; its proper-divisor sum differs from the starting integer by -8,905,246.

Prime Factor Structure

Factorization String 19 × 494737
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,894,760
Proper Divisor Sum 494,757
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #9399989 ← → #9400009

Radix Representation

Decimal 9400003
Binary 100011110110111011000011 (24 bits)
Octal 0o43667303
Hexadecimal 0x8F6EC3

Divisor Catalog (4)

1 19 494,737 9,400,003

Collatz Trajectory (132 steps to reach 1)

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

9,400,003 28,200,010 14,100,005 42,300,016 21,150,008 10,575,004 5,287,502 2,643,751 7,931,254 3,965,627 11,896,882 5,948,441 17,845,324 8,922,662 4,461,331 13,383,994 6,691,997 20,075,992 10,037,996 5,018,998 2,509,499 7,528,498 3,764,249 11,292,748 5,646,374 2,823,187 8,469,562 4,234,781 12,704,344 6,352,172 3,176,086 1,588,043 4,764,130 2,382,065 7,146,196 3,573,098 1,786,549 5,359,648 2,679,824 1,339,912 669,956 334,978 167,489 502,468 251,234 125,617 376,852 188,426 94,213 282,640 141,320 70,660 35,330 17,665 52,996 26,498 13,249 39,748 19,874 9,937

More profiles

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