5,157,264

2⁴ × 3 × 7 × 15349

Starting at 5,157,264, the Collatz iteration reaches 1 after 126 steps. The first transition is 2578632; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 7 × 15349

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 15,227,200

Proper Divisor Sum 10,069,936

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5157247 ← → #5157277

Radix Representation

Decimal	5157264
Binary	10011101011000110010000 (23 bits)
Octal	0o23530620
Hexadecimal	0x4EB190

Divisor Catalog (40)

1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 15,349 30,698 46,047 61,396 92,094 107,443 122,792 184,188 214,886 245,584 322,329 368,376 429,772 644,658 736,752 859,544 1,289,316 1,719,088 2,578,632 5,157,264

Collatz Trajectory (126 steps to reach 1)

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

5,157,264 2,578,632 1,289,316 644,658 322,329 966,988 483,494 241,747 725,242 362,621 1,087,864 543,932 271,966 135,983 407,950 203,975 611,926 305,963 917,890 458,945 1,376,836 688,418 344,209 1,032,628 516,314 258,157 774,472 387,236 193,618 96,809 290,428 145,214 72,607 217,822 108,911 326,734 163,367 490,102 245,051 735,154 367,577 1,102,732 551,366 275,683 827,050 413,525 1,240,576 620,288 310,144 155,072 77,536 38,768 19,384 9,692 4,846 2,423 7,270 3,635 10,906 5,453

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