7,003,014

2 × 3 × 17 × 71 × 967

For 7,003,014, the 32 positive divisors have a total of 15,054,336. Removing 7,003,014 leaves 8,051,322, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 71 × 967

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 15,054,336

Proper Divisor Sum 8,051,322

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #7002991 ← → #7003021

Radix Representation

Decimal	7003014
Binary	11010101101101110000110 (23 bits)
Octal	0o32555606
Hexadecimal	0x6ADB86

Divisor Catalog (32)

1 2 3 6 17 34 51 71 102 142 213 426 967 1,207 1,934 2,414 2,901 3,621 5,802 7,242 16,439 32,878 49,317 68,657 98,634 137,314 205,971 411,942 1,167,169 2,334,338 3,501,507 7,003,014

Collatz Trajectory (253 steps to reach 1)

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

7,003,014 3,501,507 10,504,522 5,252,261 15,756,784 7,878,392 3,939,196 1,969,598 984,799 2,954,398 1,477,199 4,431,598 2,215,799 6,647,398 3,323,699 9,971,098 4,985,549 14,956,648 7,478,324 3,739,162 1,869,581 5,608,744 2,804,372 1,402,186 701,093 2,103,280 1,051,640 525,820 262,910 131,455 394,366 197,183 591,550 295,775 887,326 443,663 1,330,990 665,495 1,996,486 998,243 2,994,730 1,497,365 4,492,096 2,246,048 1,123,024 561,512 280,756 140,378 70,189 210,568 105,284 52,642 26,321 78,964 39,482 19,741 59,224 29,612 14,806 7,403

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