4,809,231

3² × 7 × 23 × 3319

4,809,231 factors as 3^2 × 7 × 23 × 3319. Its 24 positive divisors give a proper-divisor sum of 3,477,489, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 23 × 3319

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,286,720

Proper Divisor Sum 3,477,489

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4809209 ← → #4809251

Radix Representation

Decimal	4809231
Binary	10010010110001000001111 (23 bits)
Octal	0o22261017
Hexadecimal	0x49620F

Divisor Catalog (24)

1 3 7 9 21 23 63 69 161 207 483 1,449 3,319 9,957 23,233 29,871 69,699 76,337 209,097 229,011 534,359 687,033 1,603,077 4,809,231

Collatz Trajectory (74 steps to reach 1)

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

4,809,231 14,427,694 7,213,847 21,641,542 10,820,771 32,462,314 16,231,157 48,693,472 24,346,736 12,173,368 6,086,684 3,043,342 1,521,671 4,565,014 2,282,507 6,847,522 3,423,761 10,271,284 5,135,642 2,567,821 7,703,464 3,851,732 1,925,866 962,933 2,888,800 1,444,400 722,200 361,100 180,550 90,275 270,826 135,413 406,240 203,120 101,560 50,780 25,390 12,695 38,086 19,043 57,130 28,565 85,696 42,848 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848

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