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Atlas › Integer Profiles › Node 5,284,467

5,284,467

33 × 17 × 29 × 397
Deficient Odd Composite

5,284,467 factors as 3^3 × 17 × 29 × 397. Its 32 positive divisors give a proper-divisor sum of 3,312,333, so this integer is deficient. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 3^3 × 17 × 29 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,596,800
Proper Divisor Sum 3,312,333
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5284439 ← → #5284469

Radix Representation

Decimal 5284467
Binary 10100001010001001110011 (23 bits)
Octal 0o24121163
Hexadecimal 0x50A273

Divisor Catalog (32)

1 3 9 17 27 29 51 87 153 261 397 459 493 783 1,191 1,479 3,573 4,437 6,749 10,719 11,513 13,311 20,247 34,539 60,741 103,617 182,223 195,721 310,851 587,163 1,761,489 5,284,467

Collatz Trajectory (219 steps to reach 1)

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

5,284,467 15,853,402 7,926,701 23,780,104 11,890,052 5,945,026 2,972,513 8,917,540 4,458,770 2,229,385 6,688,156 3,344,078 1,672,039 5,016,118 2,508,059 7,524,178 3,762,089 11,286,268 5,643,134 2,821,567 8,464,702 4,232,351 12,697,054 6,348,527 19,045,582 9,522,791 28,568,374 14,284,187 42,852,562 21,426,281 64,278,844 32,139,422 16,069,711 48,209,134 24,104,567 72,313,702 36,156,851 108,470,554 54,235,277 162,705,832 81,352,916 40,676,458 20,338,229 61,014,688 30,507,344 15,253,672 7,626,836 3,813,418 1,906,709 5,720,128 2,860,064 1,430,032 715,016 357,508 178,754 89,377 268,132 134,066 67,033 201,100

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