5,820,308

2² × 13 × 19 × 43 × 137

Starting at 5,820,308, the Collatz iteration reaches 1 after 201 steps. The first transition is 2910154; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13 × 19 × 43 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,901,120

Proper Divisor Sum 6,080,812

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #5820299 ← → #5820313

Radix Representation

Decimal	5820308
Binary	10110001100111110010100 (23 bits)
Octal	0o26147624
Hexadecimal	0x58CF94

Divisor Catalog (48)

1 2 4 13 19 26 38 43 52 76 86 137 172 247 274 494 548 559 817 988 1,118 1,634 1,781 2,236 2,603 3,268 3,562 5,206 5,891 7,124 10,412 10,621 11,782 21,242 23,564 33,839 42,484 67,678 76,583 111,929 135,356 153,166 223,858 306,332 447,716 1,455,077 2,910,154 5,820,308

Collatz Trajectory (201 steps to reach 1)

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

5,820,308 2,910,154 1,455,077 4,365,232 2,182,616 1,091,308 545,654 272,827 818,482 409,241 1,227,724 613,862 306,931 920,794 460,397 1,381,192 690,596 345,298 172,649 517,948 258,974 129,487 388,462 194,231 582,694 291,347 874,042 437,021 1,311,064 655,532 327,766 163,883 491,650 245,825 737,476 368,738 184,369 553,108 276,554 138,277 414,832 207,416 103,708 51,854 25,927 77,782 38,891 116,674 58,337 175,012 87,506 43,753 131,260 65,630 32,815 98,446 49,223 147,670 73,835 221,506

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