7,394,526

2 × 3² × 410807

7,394,526 factors as 2 × 3^2 × 410807. Its 12 positive divisors give a proper-divisor sum of 8,626,986, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 410807

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 16,021,512

Proper Divisor Sum 8,626,986

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7394521 ← → #7394531

Radix Representation

Decimal	7394526
Binary	11100001101010011011110 (23 bits)
Octal	0o34152336
Hexadecimal	0x70D4DE

Divisor Catalog (12)

1 2 3 6 9 18 410,807 821,614 1,232,421 2,464,842 3,697,263 7,394,526

Collatz Trajectory (142 steps to reach 1)

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

7,394,526 3,697,263 11,091,790 5,545,895 16,637,686 8,318,843 24,956,530 12,478,265 37,434,796 18,717,398 9,358,699 28,076,098 14,038,049 42,114,148 21,057,074 10,528,537 31,585,612 15,792,806 7,896,403 23,689,210 11,844,605 35,533,816 17,766,908 8,883,454 4,441,727 13,325,182 6,662,591 19,987,774 9,993,887 29,981,662 14,990,831 44,972,494 22,486,247 67,458,742 33,729,371 101,188,114 50,594,057 151,782,172 75,891,086 37,945,543 113,836,630 56,918,315 170,754,946 85,377,473 256,132,420 128,066,210 64,033,105 192,099,316 96,049,658 48,024,829 144,074,488 72,037,244 36,018,622 18,009,311 54,027,934 27,013,967 81,041,902 40,520,951 121,562,854 60,781,427

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