7,121,384

2³ × 61 × 14593

7,121,384 factors as 2^3 × 61 × 14593. Its 16 positive divisors give a proper-divisor sum of 6,451,036, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^3 × 61 × 14593

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,572,420

Proper Divisor Sum 6,451,036

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7121377 ← → #7121399

Radix Representation

Decimal	7121384
Binary	11011001010100111101000 (23 bits)
Octal	0o33124750
Hexadecimal	0x6CA9E8

Divisor Catalog (16)

1 2 4 8 61 122 244 488 14,593 29,186 58,372 116,744 890,173 1,780,346 3,560,692 7,121,384

Collatz Trajectory (121 steps to reach 1)

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

7,121,384 3,560,692 1,780,346 890,173 2,670,520 1,335,260 667,630 333,815 1,001,446 500,723 1,502,170 751,085 2,253,256 1,126,628 563,314 281,657 844,972 422,486 211,243 633,730 316,865 950,596 475,298 237,649 712,948 356,474 178,237 534,712 267,356 133,678 66,839 200,518 100,259 300,778 150,389 451,168 225,584 112,792 56,396 28,198 14,099 42,298 21,149 63,448 31,724 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178

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