7,516,161

3² × 41 × 20369

7,516,161 factors as 3^2 × 41 × 20369. Its 12 positive divisors give a proper-divisor sum of 3,605,859, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 3^2 × 41 × 20369

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,122,020

Proper Divisor Sum 3,605,859

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7516151 ← → #7516181

Radix Representation

Decimal	7516161
Binary	11100101011000000000001 (23 bits)
Octal	0o34530001
Hexadecimal	0x72B001

Divisor Catalog (12)

1 3 9 41 123 369 20,369 61,107 183,321 835,129 2,505,387 7,516,161

Collatz Trajectory (111 steps to reach 1)

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

7,516,161 22,548,484 11,274,242 5,637,121 16,911,364 8,455,682 4,227,841 12,683,524 6,341,762 3,170,881 9,512,644 4,756,322 2,378,161 7,134,484 3,567,242 1,783,621 5,350,864 2,675,432 1,337,716 668,858 334,429 1,003,288 501,644 250,822 125,411 376,234 188,117 564,352 282,176 141,088 70,544 35,272 17,636 8,818 4,409 13,228 6,614 3,307 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951

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