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4,658,969

73 × 172 × 47
Deficient Odd Composite

4,658,969 factors as 7^3 × 17^2 × 47. Its 24 positive divisors give a proper-divisor sum of 1,235,431, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 7^3 × 17^2 × 47
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,894,400
Proper Divisor Sum 1,235,431
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #4658963 ← → #4658989

Radix Representation

Decimal 4658969
Binary 10001110001011100011001 (23 bits)
Octal 0o21613431
Hexadecimal 0x471719

Divisor Catalog (24)

1 7 17 47 49 119 289 329 343 799 833 2,023 2,303 5,593 5,831 13,583 14,161 16,121 39,151 95,081 99,127 274,057 665,567 4,658,969

Collatz Trajectory (87 steps to reach 1)

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

4,658,969 13,976,908 6,988,454 3,494,227 10,482,682 5,241,341 15,724,024 7,862,012 3,931,006 1,965,503 5,896,510 2,948,255 8,844,766 4,422,383 13,267,150 6,633,575 19,900,726 9,950,363 29,851,090 14,925,545 44,776,636 22,388,318 11,194,159 33,582,478 16,791,239 50,373,718 25,186,859 75,560,578 37,780,289 113,340,868 56,670,434 28,335,217 85,005,652 42,502,826 21,251,413 63,754,240 31,877,120 15,938,560 7,969,280 3,984,640 1,992,320 996,160 498,080 249,040 124,520 62,260 31,130 15,565 46,696 23,348 11,674 5,837 17,512 8,756 4,378 2,189 6,568 3,284 1,642 821

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