7,501,752

2³ × 3² × 31 × 3361

7,501,752 has the prime decomposition 2^3 × 3^2 × 31 × 3361. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 31 × 3361

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 20,978,880

Proper Divisor Sum 13,477,128

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7501733 ← → #7501757

Radix Representation

Decimal	7501752
Binary	11100100111011110111000 (23 bits)
Octal	0o34473670
Hexadecimal	0x7277B8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1,116 2,232 3,361 6,722 10,083 13,444 20,166 26,888 30,249 40,332 60,498 80,664 104,191 120,996 208,382 241,992 312,573 416,764 625,146 833,528 937,719 1,250,292 1,875,438 2,500,584 3,750,876 7,501,752

Collatz Trajectory (111 steps to reach 1)

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

7,501,752 3,750,876 1,875,438 937,719 2,813,158 1,406,579 4,219,738 2,109,869 6,329,608 3,164,804 1,582,402 791,201 2,373,604 1,186,802 593,401 1,780,204 890,102 445,051 1,335,154 667,577 2,002,732 1,001,366 500,683 1,502,050 751,025 2,253,076 1,126,538 563,269 1,689,808 844,904 422,452 211,226 105,613 316,840 158,420 79,210 39,605 118,816 59,408 29,704 14,852 7,426 3,713 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291 15,874 7,937

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