7,395,252

2² × 3 × 41 × 15031

7,395,252 factors as 2^2 × 3 × 41 × 15031. Its 24 positive divisors give a proper-divisor sum of 10,282,380, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 15031

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 17,677,632

Proper Divisor Sum 10,282,380

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7395239 ← → #7395253

Radix Representation

Decimal	7395252
Binary	11100001101011110110100 (23 bits)
Octal	0o34153664
Hexadecimal	0x70D7B4

Divisor Catalog (24)

Collatz Trajectory (85 steps to reach 1)

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

7,395,252 3,697,626 1,848,813 5,546,440 2,773,220 1,386,610 693,305 2,079,916 1,039,958 519,979 1,559,938 779,969 2,339,908 1,169,954 584,977 1,754,932 877,466 438,733 1,316,200 658,100 329,050 164,525 493,576 246,788 123,394 61,697 185,092 92,546 46,273 138,820 69,410 34,705 104,116 52,058 26,029 78,088 39,044 19,522 9,761 29,284 14,642 7,321 21,964 10,982 5,491 16,474 8,237 24,712 12,356 6,178 3,089 9,268 4,634 2,317 6,952 3,476 1,738 869 2,608 1,304

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