7,420,328

2³ × 927541

7,420,328 factors as 2^3 × 927541. Its 8 positive divisors give a proper-divisor sum of 6,492,802, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^3 × 927541

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,913,130

Proper Divisor Sum 6,492,802

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7420307 ← → #7420333

Radix Representation

Decimal	7420328
Binary	11100010011100110101000 (23 bits)
Octal	0o34234650
Hexadecimal	0x7139A8

Divisor Catalog (8)

1 2 4 8 927,541 1,855,082 3,710,164 7,420,328

Collatz Trajectory (186 steps to reach 1)

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

7,420,328 3,710,164 1,855,082 927,541 2,782,624 1,391,312 695,656 347,828 173,914 86,957 260,872 130,436 65,218 32,609 97,828 48,914 24,457 73,372 36,686 18,343 55,030 27,515 82,546 41,273 123,820 61,910 30,955 92,866 46,433 139,300 69,650 34,825 104,476 52,238 26,119 78,358 39,179 117,538 58,769 176,308 88,154 44,077 132,232 66,116 33,058 16,529 49,588 24,794 12,397 37,192 18,596 9,298 4,649 13,948 6,974 3,487 10,462 5,231 15,694 7,847

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