7,271,329

13 × 31 × 18043

7,271,329 factors as 13 × 31 × 18043. Its 8 positive divisors give a proper-divisor sum of 812,383, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 13 × 31 × 18043

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,083,712

Proper Divisor Sum 812,383

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7271321 ← → #7271387

Radix Representation

Decimal	7271329
Binary	11011101111001110100001 (23 bits)
Octal	0o33571641
Hexadecimal	0x6EF3A1

Divisor Catalog (8)

1 13 31 403 18,043 234,559 559,333 7,271,329

Collatz Trajectory (111 steps to reach 1)

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

7,271,329 21,813,988 10,906,994 5,453,497 16,360,492 8,180,246 4,090,123 12,270,370 6,135,185 18,405,556 9,202,778 4,601,389 13,804,168 6,902,084 3,451,042 1,725,521 5,176,564 2,588,282 1,294,141 3,882,424 1,941,212 970,606 485,303 1,455,910 727,955 2,183,866 1,091,933 3,275,800 1,637,900 818,950 409,475 1,228,426 614,213 1,842,640 921,320 460,660 230,330 115,165 345,496 172,748 86,374 43,187 129,562 64,781 194,344 97,172 48,586 24,293 72,880 36,440 18,220 9,110 4,555 13,666 6,833 20,500 10,250 5,125 15,376 7,688

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