7,612,052

2² × 7² × 71 × 547

7,612,052 factors as 2^2 × 7^2 × 71 × 547. Its 36 positive divisors give a proper-divisor sum of 8,130,892, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 71 × 547

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 15,742,944

Proper Divisor Sum 8,130,892

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7612051 ← → #7612063

Radix Representation

Decimal	7612052
Binary	11101000010011010010100 (23 bits)
Octal	0o35023224
Hexadecimal	0x742694

Divisor Catalog (36)

1 2 4 7 14 28 49 71 98 142 196 284 497 547 994 1,094 1,988 2,188 3,479 3,829 6,958 7,658 13,916 15,316 26,803 38,837 53,606 77,674 107,212 155,348 271,859 543,718 1,087,436 1,903,013 3,806,026 7,612,052

Collatz Trajectory (80 steps to reach 1)

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

7,612,052 3,806,026 1,903,013 5,709,040 2,854,520 1,427,260 713,630 356,815 1,070,446 535,223 1,605,670 802,835 2,408,506 1,204,253 3,612,760 1,806,380 903,190 451,595 1,354,786 677,393 2,032,180 1,016,090 508,045 1,524,136 762,068 381,034 190,517 571,552 285,776 142,888 71,444 35,722 17,861 53,584 26,792 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38

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