5,016,639

3 × 47² × 757

Starting at 5,016,639, the Collatz iteration reaches 1 after 206 steps. The first transition is 15049918; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3 × 47^2 × 757

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,843,224

Proper Divisor Sum 1,826,585

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #5016631 ← → #5016643

Radix Representation

Decimal	5016639
Binary	10011001000110000111111 (23 bits)
Octal	0o23106077
Hexadecimal	0x4C8C3F

Divisor Catalog (12)

1 3 47 141 757 2,209 2,271 6,627 35,579 106,737 1,672,213 5,016,639

Collatz Trajectory (206 steps to reach 1)

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

5,016,639 15,049,918 7,524,959 22,574,878 11,287,439 33,862,318 16,931,159 50,793,478 25,396,739 76,190,218 38,095,109 114,285,328 57,142,664 28,571,332 14,285,666 7,142,833 21,428,500 10,714,250 5,357,125 16,071,376 8,035,688 4,017,844 2,008,922 1,004,461 3,013,384 1,506,692 753,346 376,673 1,130,020 565,010 282,505 847,516 423,758 211,879 635,638 317,819 953,458 476,729 1,430,188 715,094 357,547 1,072,642 536,321 1,608,964 804,482 402,241 1,206,724 603,362 301,681 905,044 452,522 226,261 678,784 339,392 169,696 84,848 42,424 21,212 10,606 5,303

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