5,884,216

2³ × 13 × 29 × 1951

Starting at 5,884,216, the Collatz iteration reaches 1 after 95 steps. The first transition is 2942108; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 13 × 29 × 1951

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,297,600

Proper Divisor Sum 6,413,384

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #5884201 ← → #5884217

Radix Representation

Decimal	5884216
Binary	10110011100100100111000 (23 bits)
Octal	0o26344470
Hexadecimal	0x59C938

Divisor Catalog (32)

1 2 4 8 13 26 29 52 58 104 116 232 377 754 1,508 1,951 3,016 3,902 7,804 15,608 25,363 50,726 56,579 101,452 113,158 202,904 226,316 452,632 735,527 1,471,054 2,942,108 5,884,216

Collatz Trajectory (95 steps to reach 1)

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

5,884,216 2,942,108 1,471,054 735,527 2,206,582 1,103,291 3,309,874 1,654,937 4,964,812 2,482,406 1,241,203 3,723,610 1,861,805 5,585,416 2,792,708 1,396,354 698,177 2,094,532 1,047,266 523,633 1,570,900 785,450 392,725 1,178,176 589,088 294,544 147,272 73,636 36,818 18,409 55,228 27,614 13,807 41,422 20,711 62,134 31,067 93,202 46,601 139,804 69,902 34,951 104,854 52,427 157,282 78,641 235,924 117,962 58,981 176,944 88,472 44,236 22,118 11,059 33,178 16,589 49,768 24,884 12,442 6,221

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