7,698,342

2 × 3 × 823 × 1559

7,698,342 factors as 2 × 3 × 823 × 1559. Its 16 positive divisors give a proper-divisor sum of 7,726,938, so this integer is abundant. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2 × 3 × 823 × 1559

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,425,280

Proper Divisor Sum 7,726,938

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7698337 ← → #7698349

Radix Representation

Decimal	7698342
Binary	11101010111011110100110 (23 bits)
Octal	0o35273646
Hexadecimal	0x7577A6

Divisor Catalog (16)

1 2 3 6 823 1,559 1,646 2,469 3,118 4,677 4,938 9,354 1,283,057 2,566,114 3,849,171 7,698,342

Collatz Trajectory (217 steps to reach 1)

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

7,698,342 3,849,171 11,547,514 5,773,757 17,321,272 8,660,636 4,330,318 2,165,159 6,495,478 3,247,739 9,743,218 4,871,609 14,614,828 7,307,414 3,653,707 10,961,122 5,480,561 16,441,684 8,220,842 4,110,421 12,331,264 6,165,632 3,082,816 1,541,408 770,704 385,352 192,676 96,338 48,169 144,508 72,254 36,127 108,382 54,191 162,574 81,287 243,862 121,931 365,794 182,897 548,692 274,346 137,173 411,520 205,760 102,880 51,440 25,720 12,860 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140

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