7,137,444

2² × 3 × 41 × 89 × 163

7,137,444 factors as 2^2 × 3 × 41 × 89 × 163. Its 48 positive divisors give a proper-divisor sum of 10,220,316, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 89 × 163

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,357,760

Proper Divisor Sum 10,220,316

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7137439 ← → #7137463

Radix Representation

Decimal	7137444
Binary	11011001110100010100100 (23 bits)
Octal	0o33164244
Hexadecimal	0x6CE8A4

Divisor Catalog (48)

1 2 3 4 6 12 41 82 89 123 163 164 178 246 267 326 356 489 492 534 652 978 1,068 1,956 3,649 6,683 7,298 10,947 13,366 14,507 14,596 20,049 21,894 26,732 29,014 40,098 43,521 43,788 58,028 80,196 87,042 174,084 594,787 1,189,574 1,784,361 2,379,148 3,568,722 7,137,444

Collatz Trajectory (173 steps to reach 1)

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

7,137,444 3,568,722 1,784,361 5,353,084 2,676,542 1,338,271 4,014,814 2,007,407 6,022,222 3,011,111 9,033,334 4,516,667 13,550,002 6,775,001 20,325,004 10,162,502 5,081,251 15,243,754 7,621,877 22,865,632 11,432,816 5,716,408 2,858,204 1,429,102 714,551 2,143,654 1,071,827 3,215,482 1,607,741 4,823,224 2,411,612 1,205,806 602,903 1,808,710 904,355 2,713,066 1,356,533 4,069,600 2,034,800 1,017,400 508,700 254,350 127,175 381,526 190,763 572,290 286,145 858,436 429,218 214,609 643,828 321,914 160,957 482,872 241,436 120,718 60,359 181,078 90,539 271,618

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