7,971,210

2 × 3⁴ × 5 × 13 × 757

7,971,210 factors as 2 × 3^4 × 5 × 13 × 757. Its 80 positive divisors give a proper-divisor sum of 15,141,726, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 13 × 757

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 23,112,936

Proper Divisor Sum 15,141,726

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7971209 ← → #7971217

Radix Representation

Decimal	7971210
Binary	11110011010000110001010 (23 bits)
Octal	0o36320612
Hexadecimal	0x79A18A

Divisor Catalog (60 of 80)

1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 270 351 390 405 585 702 757 810 1,053 1,170 1,514 1,755 2,106 2,271 3,510 3,785 4,542 5,265 6,813 7,570 9,841 10,530 11,355 13,626 19,682 20,439 22,710 29,523 34,065 40,878 49,205 59,046 61,317 68,130

Collatz Trajectory (142 steps to reach 1)

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

7,971,210 3,985,605 11,956,816 5,978,408 2,989,204 1,494,602 747,301 2,241,904 1,120,952 560,476 280,238 140,119 420,358 210,179 630,538 315,269 945,808 472,904 236,452 118,226 59,113 177,340 88,670 44,335 133,006 66,503 199,510 99,755 299,266 149,633 448,900 224,450 112,225 336,676 168,338 84,169 252,508 126,254 63,127 189,382 94,691 284,074 142,037 426,112 213,056 106,528 53,264 26,632 13,316 6,658 3,329 9,988 4,994 2,497 7,492 3,746 1,873 5,620 2,810 1,405

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