7,282,860

2² × 3 × 5 × 13 × 9337

7,282,860 factors as 2^2 × 3 × 5 × 13 × 9337. Its 48 positive divisors give a proper-divisor sum of 14,680,116, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 13 × 9337

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 21,962,976

Proper Divisor Sum 14,680,116

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7282853 ← → #7282883

Radix Representation

Decimal	7282860
Binary	11011110010000010101100 (23 bits)
Octal	0o33620254
Hexadecimal	0x6F20AC

Divisor Catalog (48)

1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 9,337 18,674 28,011 37,348 46,685 56,022 93,370 112,044 121,381 140,055 186,740 242,762 280,110 364,143 485,524 560,220 606,905 728,286 1,213,810 1,456,572 1,820,715 2,427,620 3,641,430 7,282,860

Collatz Trajectory (111 steps to reach 1)

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

7,282,860 3,641,430 1,820,715 5,462,146 2,731,073 8,193,220 4,096,610 2,048,305 6,144,916 3,072,458 1,536,229 4,608,688 2,304,344 1,152,172 576,086 288,043 864,130 432,065 1,296,196 648,098 324,049 972,148 486,074 243,037 729,112 364,556 182,278 91,139 273,418 136,709 410,128 205,064 102,532 51,266 25,633 76,900 38,450 19,225 57,676 28,838 14,419 43,258 21,629 64,888 32,444 16,222 8,111 24,334 12,167 36,502 18,251 54,754 27,377 82,132 41,066 20,533 61,600 30,800 15,400 7,700

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