7,508,290

2 × 5 × 750829

7,508,290 factors as 2 × 5 × 750829. Its 8 positive divisors give a proper-divisor sum of 6,006,650, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2 × 5 × 750829

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,514,940

Proper Divisor Sum 6,006,650

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7508257 ← → #7508309

Radix Representation

Decimal	7508290
Binary	11100101001000101000010 (23 bits)
Octal	0o34510502
Hexadecimal	0x729142

Divisor Catalog (8)

1 2 5 10 750,829 1,501,658 3,754,145 7,508,290

Collatz Trajectory (111 steps to reach 1)

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

7,508,290 3,754,145 11,262,436 5,631,218 2,815,609 8,446,828 4,223,414 2,111,707 6,335,122 3,167,561 9,502,684 4,751,342 2,375,671 7,127,014 3,563,507 10,690,522 5,345,261 16,035,784 8,017,892 4,008,946 2,004,473 6,013,420 3,006,710 1,503,355 4,510,066 2,255,033 6,765,100 3,382,550 1,691,275 5,073,826 2,536,913 7,610,740 3,805,370 1,902,685 5,708,056 2,854,028 1,427,014 713,507 2,140,522 1,070,261 3,210,784 1,605,392 802,696 401,348 200,674 100,337 301,012 150,506 75,253 225,760 112,880 56,440 28,220 14,110 7,055 21,166 10,583 31,750 15,875 47,626

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