3,418,003

17² × 11827

3,418,003 has digital root 1. The neighboring primes are 3418001 and 3418021; its proper-divisor sum differs from the starting integer by -3,204,810.

Prime Factor Structure

Factorization String 17^2 × 11827

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 3,631,196

Proper Divisor Sum 213,193

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3418001 ← → #3418021

Radix Representation

Decimal	3418003
Binary	1101000010011110010011 (22 bits)
Octal	0o15023623
Hexadecimal	0x342793

Divisor Catalog (6)

1 17 289 11,827 201,059 3,418,003

Collatz Trajectory (190 steps to reach 1)

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

3,418,003 10,254,010 5,127,005 15,381,016 7,690,508 3,845,254 1,922,627 5,767,882 2,883,941 8,651,824 4,325,912 2,162,956 1,081,478 540,739 1,622,218 811,109 2,433,328 1,216,664 608,332 304,166 152,083 456,250 228,125 684,376 342,188 171,094 85,547 256,642 128,321 384,964 192,482 96,241 288,724 144,362 72,181 216,544 108,272 54,136 27,068 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683

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