5,079,792

2⁴ × 3 × 105829

Starting at 5,079,792, the Collatz iteration reaches 1 after 250 steps. The first transition is 2539896; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 105829

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 13,122,920

Proper Divisor Sum 8,043,128

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #5079773 ← → #5079817

Radix Representation

Decimal	5079792
Binary	10011011000001011110000 (23 bits)
Octal	0o23301360
Hexadecimal	0x4D82F0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 105,829 211,658 317,487 423,316 634,974 846,632 1,269,948 1,693,264 2,539,896 5,079,792

Collatz Trajectory (250 steps to reach 1)

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

5,079,792 2,539,896 1,269,948 634,974 317,487 952,462 476,231 1,428,694 714,347 2,143,042 1,071,521 3,214,564 1,607,282 803,641 2,410,924 1,205,462 602,731 1,808,194 904,097 2,712,292 1,356,146 678,073 2,034,220 1,017,110 508,555 1,525,666 762,833 2,288,500 1,144,250 572,125 1,716,376 858,188 429,094 214,547 643,642 321,821 965,464 482,732 241,366 120,683 362,050 181,025 543,076 271,538 135,769 407,308 203,654 101,827 305,482 152,741 458,224 229,112 114,556 57,278 28,639 85,918 42,959 128,878 64,439 193,318

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