7,221,042

2 × 3³ × 133723

7,221,042 factors as 2 × 3^3 × 133723. Its 16 positive divisors give a proper-divisor sum of 8,825,838, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 133723

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,046,880

Proper Divisor Sum 8,825,838

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #7221041 ← → #7221077

Radix Representation

Decimal	7221042
Binary	11011100010111100110010 (23 bits)
Octal	0o33427462
Hexadecimal	0x6E2F32

Divisor Catalog (16)

1 2 3 6 9 18 27 54 133,723 267,446 401,169 802,338 1,203,507 2,407,014 3,610,521 7,221,042

Collatz Trajectory (142 steps to reach 1)

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

7,221,042 3,610,521 10,831,564 5,415,782 2,707,891 8,123,674 4,061,837 12,185,512 6,092,756 3,046,378 1,523,189 4,569,568 2,284,784 1,142,392 571,196 285,598 142,799 428,398 214,199 642,598 321,299 963,898 481,949 1,445,848 722,924 361,462 180,731 542,194 271,097 813,292 406,646 203,323 609,970 304,985 914,956 457,478 228,739 686,218 343,109 1,029,328 514,664 257,332 128,666 64,333 193,000 96,500 48,250 24,125 72,376 36,188 18,094 9,047 27,142 13,571 40,714 20,357 61,072 30,536 15,268 7,634

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