6,989,017

7² × 19 × 7507

6,989,017 factors as 7^2 × 19 × 7507. Its 12 positive divisors give a proper-divisor sum of 1,570,103, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 7^2 × 19 × 7507

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,559,120

Proper Divisor Sum 1,570,103

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #6989009 ← → #6989039

Radix Representation

Decimal	6989017
Binary	11010101010010011011001 (23 bits)
Octal	0o32522331
Hexadecimal	0x6AA4D9

Divisor Catalog (12)

1 7 19 49 133 931 7,507 52,549 142,633 367,843 998,431 6,989,017

Collatz Trajectory (147 steps to reach 1)

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

6,989,017 20,967,052 10,483,526 5,241,763 15,725,290 7,862,645 23,587,936 11,793,968 5,896,984 2,948,492 1,474,246 737,123 2,211,370 1,105,685 3,317,056 1,658,528 829,264 414,632 207,316 103,658 51,829 155,488 77,744 38,872 19,436 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206

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