5,413,748

2² × 439 × 3083

Starting at 5,413,748, the Collatz iteration reaches 1 after 175 steps. The first transition is 2706874; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 439 × 3083

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,498,720

Proper Divisor Sum 4,084,972

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #5413741 ← → #5413777

Radix Representation

Decimal	5413748
Binary	10100101001101101110100 (23 bits)
Octal	0o24515564
Hexadecimal	0x529B74

Divisor Catalog (12)

1 2 4 439 878 1,756 3,083 6,166 12,332 1,353,437 2,706,874 5,413,748

Collatz Trajectory (175 steps to reach 1)

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

5,413,748 2,706,874 1,353,437 4,060,312 2,030,156 1,015,078 507,539 1,522,618 761,309 2,283,928 1,141,964 570,982 285,491 856,474 428,237 1,284,712 642,356 321,178 160,589 481,768 240,884 120,442 60,221 180,664 90,332 45,166 22,583 67,750 33,875 101,626 50,813 152,440 76,220 38,110 19,055 57,166 28,583 85,750 42,875 128,626 64,313 192,940 96,470 48,235 144,706 72,353 217,060 108,530 54,265 162,796 81,398 40,699 122,098 61,049 183,148 91,574 45,787 137,362 68,681 206,044

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