7,508,440

2³ × 5 × 187711

7,508,440 factors as 2^3 × 5 × 187711. Its 16 positive divisors give a proper-divisor sum of 9,385,640, so this integer is abundant. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 187711

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,894,080

Proper Divisor Sum 9,385,640

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7508437 ← → #7508443

Radix Representation

Decimal	7508440
Binary	11100101001000111011000 (23 bits)
Octal	0o34510730
Hexadecimal	0x7291D8

Divisor Catalog (16)

1 2 4 5 8 10 20 40 187,711 375,422 750,844 938,555 1,501,688 1,877,110 3,754,220 7,508,440

Collatz Trajectory (111 steps to reach 1)

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

7,508,440 3,754,220 1,877,110 938,555 2,815,666 1,407,833 4,223,500 2,111,750 1,055,875 3,167,626 1,583,813 4,751,440 2,375,720 1,187,860 593,930 296,965 890,896 445,448 222,724 111,362 55,681 167,044 83,522 41,761 125,284 62,642 31,321 93,964 46,982 23,491 70,474 35,237 105,712 52,856 26,428 13,214 6,607 19,822 9,911 29,734 14,867 44,602 22,301 66,904 33,452 16,726 8,363 25,090 12,545 37,636 18,818 9,409 28,228 14,114 7,057 21,172 10,586 5,293 15,880 7,940

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