7,625,072

2⁴ × 7 × 13 × 5237

7,625,072 is even and not a perfect square. Its factorization is 2^4 × 7 × 13 × 5237 and its 40 divisors sum to 18,186,336.

Prime Factor Structure

Factorization String 2^4 × 7 × 13 × 5237

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 18,186,336

Proper Divisor Sum 10,561,264

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7625041 ← → #7625077

Radix Representation

Decimal	7625072
Binary	11101000101100101110000 (23 bits)
Octal	0o35054560
Hexadecimal	0x745970

Divisor Catalog (40)

1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1,456 5,237 10,474 20,948 36,659 41,896 68,081 73,318 83,792 136,162 146,636 272,324 293,272 476,567 544,648 586,544 953,134 1,089,296 1,906,268 3,812,536 7,625,072

Collatz Trajectory (54 steps to reach 1)

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

7,625,072 3,812,536 1,906,268 953,134 476,567 1,429,702 714,851 2,144,554 1,072,277 3,216,832 1,608,416 804,208 402,104 201,052 100,526 50,263 150,790 75,395 226,186 113,093 339,280 169,640 84,820 42,410 21,205 63,616 31,808 15,904 7,952 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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