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Sequence Observatory
Atlas › Integer Profiles › Node 4,467,942

4,467,942

2 × 32 × 401 × 619
Abundant Even Composite

Starting at 4,467,942, the Collatz iteration reaches 1 after 118 steps. The first transition is 2233971; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 401 × 619
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,720,360
Proper Divisor Sum 5,252,418
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4467929 ← → #4467949

Radix Representation

Decimal 4467942
Binary 10001000010110011100110 (23 bits)
Octal 0o21026346
Hexadecimal 0x442CE6

Divisor Catalog (24)

1 2 3 6 9 18 401 619 802 1,203 1,238 1,857 2,406 3,609 3,714 5,571 7,218 11,142 248,219 496,438 744,657 1,489,314 2,233,971 4,467,942

Collatz Trajectory (118 steps to reach 1)

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

4,467,942 2,233,971 6,701,914 3,350,957 10,052,872 5,026,436 2,513,218 1,256,609 3,769,828 1,884,914 942,457 2,827,372 1,413,686 706,843 2,120,530 1,060,265 3,180,796 1,590,398 795,199 2,385,598 1,192,799 3,578,398 1,789,199 5,367,598 2,683,799 8,051,398 4,025,699 12,077,098 6,038,549 18,115,648 9,057,824 4,528,912 2,264,456 1,132,228 566,114 283,057 849,172 424,586 212,293 636,880 318,440 159,220 79,610 39,805 119,416 59,708 29,854 14,927 44,782 22,391 67,174 33,587 100,762 50,381 151,144 75,572 37,786 18,893 56,680 28,340

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