4,689,636

2² × 3 × 7 × 55829

Starting at 4,689,636, the Collatz iteration reaches 1 after 131 steps. The first transition is 2344818; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 55829

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,505,920

Proper Divisor Sum 7,816,284

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4689611 ← → #4689661

Radix Representation

Decimal	4689636
Binary	10001111000111011100100 (23 bits)
Octal	0o21707344
Hexadecimal	0x478EE4

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 55,829 111,658 167,487 223,316 334,974 390,803 669,948 781,606 1,172,409 1,563,212 2,344,818 4,689,636

Collatz Trajectory (131 steps to reach 1)

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

4,689,636 2,344,818 1,172,409 3,517,228 1,758,614 879,307 2,637,922 1,318,961 3,956,884 1,978,442 989,221 2,967,664 1,483,832 741,916 370,958 185,479 556,438 278,219 834,658 417,329 1,251,988 625,994 312,997 938,992 469,496 234,748 117,374 58,687 176,062 88,031 264,094 132,047 396,142 198,071 594,214 297,107 891,322 445,661 1,336,984 668,492 334,246 167,123 501,370 250,685 752,056 376,028 188,014 94,007 282,022 141,011 423,034 211,517 634,552 317,276 158,638 79,319 237,958 118,979 356,938 178,469

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