1,617,003

3⁴ × 19963

1,617,003 has digital root 9. The neighboring primes are 1616983 and 1617019; its proper-divisor sum differs from the starting integer by -818,362.

Prime Factor Structure

Factorization String 3^4 × 19963

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 2,415,644

Proper Divisor Sum 798,641

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1616983 ← → #1617019

Radix Representation

Decimal	1617003
Binary	110001010110001101011 (21 bits)
Octal	0o6126153
Hexadecimal	0x18AC6B

Divisor Catalog (10)

1 3 9 27 81 19,963 59,889 179,667 539,001 1,617,003

Collatz Trajectory (207 steps to reach 1)

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

1,617,003 4,851,010 2,425,505 7,276,516 3,638,258 1,819,129 5,457,388 2,728,694 1,364,347 4,093,042 2,046,521 6,139,564 3,069,782 1,534,891 4,604,674 2,302,337 6,907,012 3,453,506 1,726,753 5,180,260 2,590,130 1,295,065 3,885,196 1,942,598 971,299 2,913,898 1,456,949 4,370,848 2,185,424 1,092,712 546,356 273,178 136,589 409,768 204,884 102,442 51,221 153,664 76,832 38,416 19,208 9,604 4,802 2,401 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711

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