6,988,264

2³ × 37 × 23609

6,988,264 factors as 2^3 × 37 × 23609. Its 16 positive divisors give a proper-divisor sum of 6,469,436, so this integer is deficient. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^3 × 37 × 23609

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,457,700

Proper Divisor Sum 6,469,436

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #6988253 ← → #6988271

Radix Representation

Decimal	6988264
Binary	11010101010000111101000 (23 bits)
Octal	0o32520750
Hexadecimal	0x6AA1E8

Divisor Catalog (16)

1 2 4 8 37 74 148 296 23,609 47,218 94,436 188,872 873,533 1,747,066 3,494,132 6,988,264

Collatz Trajectory (147 steps to reach 1)

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

6,988,264 3,494,132 1,747,066 873,533 2,620,600 1,310,300 655,150 327,575 982,726 491,363 1,474,090 737,045 2,211,136 1,105,568 552,784 276,392 138,196 69,098 34,549 103,648 51,824 25,912 12,956 6,478 3,239 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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