8,045,261

7² × 113 × 1453

8,045,261 factors as 7^2 × 113 × 1453. Its 12 positive divisors give a proper-divisor sum of 1,402,831, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 7^2 × 113 × 1453

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,448,092

Proper Divisor Sum 1,402,831

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #8045249 ← → #8045287

Radix Representation

Decimal	8045261
Binary	11110101100001011001101 (23 bits)
Octal	0o36541315
Hexadecimal	0x7AC2CD

Divisor Catalog (12)

1 7 49 113 791 1,453 5,537 10,171 71,197 164,189 1,149,323 8,045,261

Collatz Trajectory (137 steps to reach 1)

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

8,045,261 24,135,784 12,067,892 6,033,946 3,016,973 9,050,920 4,525,460 2,262,730 1,131,365 3,394,096 1,697,048 848,524 424,262 212,131 636,394 318,197 954,592 477,296 238,648 119,324 59,662 29,831 89,494 44,747 134,242 67,121 201,364 100,682 50,341 151,024 75,512 37,756 18,878 9,439 28,318 14,159 42,478 21,239 63,718 31,859 95,578 47,789 143,368 71,684 35,842 17,921 53,764 26,882 13,441 40,324 20,162 10,081 30,244 15,122 7,561 22,684 11,342 5,671 17,014 8,507

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