5,478,807

3 × 23 × 271 × 293

Starting at 5,478,807, the Collatz iteration reaches 1 after 82 steps. The first transition is 16436422; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 23 × 271 × 293

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,676,928

Proper Divisor Sum 2,198,121

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #5478787 ← → #5478817

Radix Representation

Decimal	5478807
Binary	10100111001100110010111 (23 bits)
Octal	0o24714627
Hexadecimal	0x539997

Divisor Catalog (16)

1 3 23 69 271 293 813 879 6,233 6,739 18,699 20,217 79,403 238,209 1,826,269 5,478,807

Collatz Trajectory (82 steps to reach 1)

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

5,478,807 16,436,422 8,218,211 24,654,634 12,327,317 36,981,952 18,490,976 9,245,488 4,622,744 2,311,372 1,155,686 577,843 1,733,530 866,765 2,600,296 1,300,148 650,074 325,037 975,112 487,556 243,778 121,889 365,668 182,834 91,417 274,252 137,126 68,563 205,690 102,845 308,536 154,268 77,134 38,567 115,702 57,851 173,554 86,777 260,332 130,166 65,083 195,250 97,625 292,876 146,438 73,219 219,658 109,829 329,488 164,744 82,372 41,186 20,593 61,780 30,890 15,445 46,336 23,168 11,584 5,792

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