4,624,516

2² × 13² × 6841

Starting at 4,624,516, the Collatz iteration reaches 1 after 299 steps. The first transition is 2312258; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 13^2 × 6841

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 8,764,602

Proper Divisor Sum 4,140,086

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4624507 ← → #4624517

Radix Representation

Decimal	4624516
Binary	10001101001000010000100 (23 bits)
Octal	0o21510204
Hexadecimal	0x469084

Divisor Catalog (18)

1 2 4 13 26 52 169 338 676 6,841 13,682 27,364 88,933 177,866 355,732 1,156,129 2,312,258 4,624,516

Collatz Trajectory (299 steps to reach 1)

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

4,624,516 2,312,258 1,156,129 3,468,388 1,734,194 867,097 2,601,292 1,300,646 650,323 1,950,970 975,485 2,926,456 1,463,228 731,614 365,807 1,097,422 548,711 1,646,134 823,067 2,469,202 1,234,601 3,703,804 1,851,902 925,951 2,777,854 1,388,927 4,166,782 2,083,391 6,250,174 3,125,087 9,375,262 4,687,631 14,062,894 7,031,447 21,094,342 10,547,171 31,641,514 15,820,757 47,462,272 23,731,136 11,865,568 5,932,784 2,966,392 1,483,196 741,598 370,799 1,112,398 556,199 1,668,598 834,299 2,502,898 1,251,449 3,754,348 1,877,174 938,587 2,815,762 1,407,881 4,223,644 2,111,822 1,055,911

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