7,163,624

2³ × 13 × 68881

7,163,624 factors as 2^3 × 13 × 68881. Its 16 positive divisors give a proper-divisor sum of 7,301,596, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 68881

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,465,220

Proper Divisor Sum 7,301,596

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7163623 ← → #7163633

Radix Representation

Decimal	7163624
Binary	11011010100111011101000 (23 bits)
Octal	0o33247350
Hexadecimal	0x6D4EE8

Divisor Catalog (16)

1 2 4 8 13 26 52 104 68,881 137,762 275,524 551,048 895,453 1,790,906 3,581,812 7,163,624

Collatz Trajectory (116 steps to reach 1)

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

7,163,624 3,581,812 1,790,906 895,453 2,686,360 1,343,180 671,590 335,795 1,007,386 503,693 1,511,080 755,540 377,770 188,885 566,656 283,328 141,664 70,832 35,416 17,708 8,854 4,427 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276

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