7,038,017

7³ × 17² × 71

7,038,017 factors as 7^3 × 17^2 × 71. Its 24 positive divisors give a proper-divisor sum of 1,803,583, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 7^3 × 17^2 × 71

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,841,600

Proper Divisor Sum 1,803,583

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #7038013 ← → #7038043

Radix Representation

Decimal	7038017
Binary	11010110110010001000001 (23 bits)
Octal	0o32662101
Hexadecimal	0x6B6441

Divisor Catalog (24)

Collatz Trajectory (129 steps to reach 1)

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

7,038,017 21,114,052 10,557,026 5,278,513 15,835,540 7,917,770 3,958,885 11,876,656 5,938,328 2,969,164 1,484,582 742,291 2,226,874 1,113,437 3,340,312 1,670,156 835,078 417,539 1,252,618 626,309 1,878,928 939,464 469,732 234,866 117,433 352,300 176,150 88,075 264,226 132,113 396,340 198,170 99,085 297,256 148,628 74,314 37,157 111,472 55,736 27,868 13,934 6,967 20,902 10,451 31,354 15,677 47,032 23,516 11,758 5,879 17,638 8,819 26,458 13,229 39,688 19,844 9,922 4,961 14,884 7,442

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