7,213,748

2² × 47 × 38371

Starting at 7,213,748, the Collatz iteration reaches 1 after 129 steps. The first transition is 3606874; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 47 × 38371

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,892,992

Proper Divisor Sum 5,679,244

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7213747 ← → #7213751

Radix Representation

Decimal	7213748
Binary	11011100001001010110100 (23 bits)
Octal	0o33411264
Hexadecimal	0x6E12B4

Divisor Catalog (12)

1 2 4 47 94 188 38,371 76,742 153,484 1,803,437 3,606,874 7,213,748

Collatz Trajectory (129 steps to reach 1)

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

7,213,748 3,606,874 1,803,437 5,410,312 2,705,156 1,352,578 676,289 2,028,868 1,014,434 507,217 1,521,652 760,826 380,413 1,141,240 570,620 285,310 142,655 427,966 213,983 641,950 320,975 962,926 481,463 1,444,390 722,195 2,166,586 1,083,293 3,249,880 1,624,940 812,470 406,235 1,218,706 609,353 1,828,060 914,030 457,015 1,371,046 685,523 2,056,570 1,028,285 3,084,856 1,542,428 771,214 385,607 1,156,822 578,411 1,735,234 867,617 2,602,852 1,301,426 650,713 1,952,140 976,070 488,035 1,464,106 732,053 2,196,160 1,098,080 549,040 274,520

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