7,548,628

2² × 61 × 30937

7,548,628 factors as 2^2 × 61 × 30937. Its 12 positive divisors give a proper-divisor sum of 5,878,464, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2^2 × 61 × 30937

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,427,092

Proper Divisor Sum 5,878,464

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7548617 ← → #7548647

Radix Representation

Decimal	7548628
Binary	11100110010111011010100 (23 bits)
Octal	0o34627324
Hexadecimal	0x732ED4

Divisor Catalog (12)

1 2 4 61 122 244 30,937 61,874 123,748 1,887,157 3,774,314 7,548,628

Collatz Trajectory (111 steps to reach 1)

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

7,548,628 3,774,314 1,887,157 5,661,472 2,830,736 1,415,368 707,684 353,842 176,921 530,764 265,382 132,691 398,074 199,037 597,112 298,556 149,278 74,639 223,918 111,959 335,878 167,939 503,818 251,909 755,728 377,864 188,932 94,466 47,233 141,700 70,850 35,425 106,276 53,138 26,569 79,708 39,854 19,927 59,782 29,891 89,674 44,837 134,512 67,256 33,628 16,814 8,407 25,222 12,611 37,834 18,917 56,752 28,376 14,188 7,094 3,547 10,642 5,321 15,964 7,982

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