5,021,912

2³ × 7² × 23 × 557

Starting at 5,021,912, the Collatz iteration reaches 1 after 312 steps. The first transition is 2510956; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 23 × 557

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 11,450,160

Proper Divisor Sum 6,428,248

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #5021893 ← → #5021917

Radix Representation

Decimal	5021912
Binary	10011001010000011011000 (23 bits)
Octal	0o23120330
Hexadecimal	0x4CA0D8

Divisor Catalog (48)

1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 322 392 557 644 1,114 1,127 1,288 2,228 2,254 3,899 4,456 4,508 7,798 9,016 12,811 15,596 25,622 27,293 31,192 51,244 54,586 89,677 102,488 109,172 179,354 218,344 358,708 627,739 717,416 1,255,478 2,510,956 5,021,912

Collatz Trajectory (312 steps to reach 1)

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

5,021,912 2,510,956 1,255,478 627,739 1,883,218 941,609 2,824,828 1,412,414 706,207 2,118,622 1,059,311 3,177,934 1,588,967 4,766,902 2,383,451 7,150,354 3,575,177 10,725,532 5,362,766 2,681,383 8,044,150 4,022,075 12,066,226 6,033,113 18,099,340 9,049,670 4,524,835 13,574,506 6,787,253 20,361,760 10,180,880 5,090,440 2,545,220 1,272,610 636,305 1,908,916 954,458 477,229 1,431,688 715,844 357,922 178,961 536,884 268,442 134,221 402,664 201,332 100,666 50,333 151,000 75,500 37,750 18,875 56,626 28,313 84,940 42,470 21,235 63,706 31,853

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