4,888,681

7² × 19 × 59 × 89

Starting at 4,888,681, the Collatz iteration reaches 1 after 206 steps. The first transition is 14666044; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 19 × 59 × 89

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,156,000

Proper Divisor Sum 1,267,319

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #4888679 ← → #4888687

Radix Representation

Decimal	4888681
Binary	10010101001100001101001 (23 bits)
Octal	0o22514151
Hexadecimal	0x4A9869

Divisor Catalog (24)

1 7 19 49 59 89 133 413 623 931 1,121 1,691 2,891 4,361 5,251 7,847 11,837 36,757 54,929 82,859 99,769 257,299 698,383 4,888,681

Collatz Trajectory (206 steps to reach 1)

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

4,888,681 14,666,044 7,333,022 3,666,511 10,999,534 5,499,767 16,499,302 8,249,651 24,748,954 12,374,477 37,123,432 18,561,716 9,280,858 4,640,429 13,921,288 6,960,644 3,480,322 1,740,161 5,220,484 2,610,242 1,305,121 3,915,364 1,957,682 978,841 2,936,524 1,468,262 734,131 2,202,394 1,101,197 3,303,592 1,651,796 825,898 412,949 1,238,848 619,424 309,712 154,856 77,428 38,714 19,357 58,072 29,036 14,518 7,259 21,778 10,889 32,668 16,334 8,167 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013

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