7,516,636

2² × 853 × 2203

7,516,636 factors as 2^2 × 853 × 2203. Its 12 positive divisors give a proper-divisor sum of 5,658,876, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^2 × 853 × 2203

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,175,512

Proper Divisor Sum 5,658,876

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7516633 ← → #7516657

Radix Representation

Decimal	7516636
Binary	11100101011000111011100 (23 bits)
Octal	0o34530734
Hexadecimal	0x72B1DC

Divisor Catalog (12)

1 2 4 853 1,706 2,203 3,412 4,406 8,812 1,879,159 3,758,318 7,516,636

Collatz Trajectory (155 steps to reach 1)

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

7,516,636 3,758,318 1,879,159 5,637,478 2,818,739 8,456,218 4,228,109 12,684,328 6,342,164 3,171,082 1,585,541 4,756,624 2,378,312 1,189,156 594,578 297,289 891,868 445,934 222,967 668,902 334,451 1,003,354 501,677 1,505,032 752,516 376,258 188,129 564,388 282,194 141,097 423,292 211,646 105,823 317,470 158,735 476,206 238,103 714,310 357,155 1,071,466 535,733 1,607,200 803,600 401,800 200,900 100,450 50,225 150,676 75,338 37,669 113,008 56,504 28,252 14,126 7,063 21,190 10,595 31,786 15,893 47,680

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