7,307,828

2² × 11 × 307 × 541

7,307,828 factors as 2^2 × 11 × 307 × 541. Its 24 positive divisors give a proper-divisor sum of 6,714,796, so this integer is deficient. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 307 × 541

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,022,624

Proper Divisor Sum 6,714,796

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7307827 ← → #7307831

Radix Representation

Decimal	7307828
Binary	11011111000001000110100 (23 bits)
Octal	0o33701064
Hexadecimal	0x6F8234

Divisor Catalog (24)

Collatz Trajectory (67 steps to reach 1)

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

7,307,828 3,653,914 1,826,957 5,480,872 2,740,436 1,370,218 685,109 2,055,328 1,027,664 513,832 256,916 128,458 64,229 192,688 96,344 48,172 24,086 12,043 36,130 18,065 54,196 27,098 13,549 40,648 20,324 10,162 5,081 15,244 7,622 3,811 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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