5,334,651

3² × 7 × 17² × 293

Starting at 5,334,651, the Collatz iteration reaches 1 after 219 steps. The first transition is 16003954; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 7 × 17^2 × 293

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 9,386,832

Proper Divisor Sum 4,052,181

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5334631 ← → #5334653

Radix Representation

Decimal	5334651
Binary	10100010110011001111011 (23 bits)
Octal	0o24263173
Hexadecimal	0x51667B

Divisor Catalog (36)

1 3 7 9 17 21 51 63 119 153 289 293 357 867 879 1,071 2,023 2,051 2,601 2,637 4,981 6,069 6,153 14,943 18,207 18,459 34,867 44,829 84,677 104,601 254,031 313,803 592,739 762,093 1,778,217 5,334,651

Collatz Trajectory (219 steps to reach 1)

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

5,334,651 16,003,954 8,001,977 24,005,932 12,002,966 6,001,483 18,004,450 9,002,225 27,006,676 13,503,338 6,751,669 20,255,008 10,127,504 5,063,752 2,531,876 1,265,938 632,969 1,898,908 949,454 474,727 1,424,182 712,091 2,136,274 1,068,137 3,204,412 1,602,206 801,103 2,403,310 1,201,655 3,604,966 1,802,483 5,407,450 2,703,725 8,111,176 4,055,588 2,027,794 1,013,897 3,041,692 1,520,846 760,423 2,281,270 1,140,635 3,421,906 1,710,953 5,132,860 2,566,430 1,283,215 3,849,646 1,924,823 5,774,470 2,887,235 8,661,706 4,330,853 12,992,560 6,496,280 3,248,140 1,624,070 812,035 2,436,106 1,218,053

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