5,762,178

2 × 3⁴ × 35569

Starting at 5,762,178, the Collatz iteration reaches 1 after 108 steps. The first transition is 2881089; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 35569

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 12,911,910

Proper Divisor Sum 7,149,732

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5762177 ← → #5762179

Radix Representation

Decimal	5762178
Binary	10101111110110010000010 (23 bits)
Octal	0o25766202
Hexadecimal	0x57EC82

Divisor Catalog (20)

1 2 3 6 9 18 27 54 81 162 35,569 71,138 106,707 213,414 320,121 640,242 960,363 1,920,726 2,881,089 5,762,178

Collatz Trajectory (108 steps to reach 1)

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

5,762,178 2,881,089 8,643,268 4,321,634 2,160,817 6,482,452 3,241,226 1,620,613 4,861,840 2,430,920 1,215,460 607,730 303,865 911,596 455,798 227,899 683,698 341,849 1,025,548 512,774 256,387 769,162 384,581 1,153,744 576,872 288,436 144,218 72,109 216,328 108,164 54,082 27,041 81,124 40,562 20,281 60,844 30,422 15,211 45,634 22,817 68,452 34,226 17,113 51,340 25,670 12,835 38,506 19,253 57,760 28,880 14,440 7,220 3,610 1,805 5,416 2,708 1,354 677 2,032 1,016

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