5,826,414

2 × 3 × 11 × 43 × 2053

Starting at 5,826,414, the Collatz iteration reaches 1 after 175 steps. The first transition is 2913207; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 43 × 2053

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,014,144

Proper Divisor Sum 7,187,730

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5826413 ← → #5826421

Radix Representation

Decimal	5826414
Binary	10110001110011101101110 (23 bits)
Octal	0o26163556
Hexadecimal	0x58E76E

Divisor Catalog (32)

1 2 3 6 11 22 33 43 66 86 129 258 473 946 1,419 2,053 2,838 4,106 6,159 12,318 22,583 45,166 67,749 88,279 135,498 176,558 264,837 529,674 971,069 1,942,138 2,913,207 5,826,414

Collatz Trajectory (175 steps to reach 1)

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

5,826,414 2,913,207 8,739,622 4,369,811 13,109,434 6,554,717 19,664,152 9,832,076 4,916,038 2,458,019 7,374,058 3,687,029 11,061,088 5,530,544 2,765,272 1,382,636 691,318 345,659 1,036,978 518,489 1,555,468 777,734 388,867 1,166,602 583,301 1,749,904 874,952 437,476 218,738 109,369 328,108 164,054 82,027 246,082 123,041 369,124 184,562 92,281 276,844 138,422 69,211 207,634 103,817 311,452 155,726 77,863 233,590 116,795 350,386 175,193 525,580 262,790 131,395 394,186 197,093 591,280 295,640 147,820 73,910 36,955

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