5,223,933

3⁴ × 11² × 13 × 41

Starting at 5,223,933, the Collatz iteration reaches 1 after 157 steps. The first transition is 15671800; the starting value is odd with 60 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 11^2 × 13 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 9,462,684

Proper Divisor Sum 4,238,751

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5223929 ← → #5223961

Radix Representation

Decimal	5223933
Binary	10011111011010111111101 (23 bits)
Octal	0o23732775
Hexadecimal	0x4FB5FD

Divisor Catalog (60)

1 3 9 11 13 27 33 39 41 81 99 117 121 123 143 297 351 363 369 429 451 533 891 1,053 1,089 1,107 1,287 1,353 1,573 1,599 3,267 3,321 3,861 4,059 4,719 4,797 4,961 5,863 9,801 11,583 12,177 14,157 14,391 14,883 17,589 36,531 42,471 43,173 44,649 52,767 64,493 127,413 133,947 158,301 193,479 401,841 474,903 580,437 1,741,311 5,223,933

Collatz Trajectory (157 steps to reach 1)

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

5,223,933 15,671,800 7,835,900 3,917,950 1,958,975 5,876,926 2,938,463 8,815,390 4,407,695 13,223,086 6,611,543 19,834,630 9,917,315 29,751,946 14,875,973 44,627,920 22,313,960 11,156,980 5,578,490 2,789,245 8,367,736 4,183,868 2,091,934 1,045,967 3,137,902 1,568,951 4,706,854 2,353,427 7,060,282 3,530,141 10,590,424 5,295,212 2,647,606 1,323,803 3,971,410 1,985,705 5,957,116 2,978,558 1,489,279 4,467,838 2,233,919 6,701,758 3,350,879 10,052,638 5,026,319 15,078,958 7,539,479 22,618,438 11,309,219 33,927,658 16,963,829 50,891,488 25,445,744 12,722,872 6,361,436 3,180,718 1,590,359 4,771,078 2,385,539 7,156,618

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