7,201,434

2 × 3 × 47 × 25537

7,201,434 factors as 2 × 3 × 47 × 25537. Its 16 positive divisors give a proper-divisor sum of 7,508,454, so this integer is abundant. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2 × 3 × 47 × 25537

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,709,888

Proper Divisor Sum 7,508,454

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7201429 ← → #7201457

Radix Representation

Decimal	7201434
Binary	11011011110001010011010 (23 bits)
Octal	0o33361232
Hexadecimal	0x6DE29A

Divisor Catalog (16)

1 2 3 6 47 94 141 282 25,537 51,074 76,611 153,222 1,200,239 2,400,478 3,600,717 7,201,434

Collatz Trajectory (191 steps to reach 1)

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

7,201,434 3,600,717 10,802,152 5,401,076 2,700,538 1,350,269 4,050,808 2,025,404 1,012,702 506,351 1,519,054 759,527 2,278,582 1,139,291 3,417,874 1,708,937 5,126,812 2,563,406 1,281,703 3,845,110 1,922,555 5,767,666 2,883,833 8,651,500 4,325,750 2,162,875 6,488,626 3,244,313 9,732,940 4,866,470 2,433,235 7,299,706 3,649,853 10,949,560 5,474,780 2,737,390 1,368,695 4,106,086 2,053,043 6,159,130 3,079,565 9,238,696 4,619,348 2,309,674 1,154,837 3,464,512 1,732,256 866,128 433,064 216,532 108,266 54,133 162,400 81,200 40,600 20,300 10,150 5,075 15,226 7,613

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