7,023,874

2 × 11 × 13 × 41 × 599

Starting at 7,023,874, the Collatz iteration reaches 1 after 152 steps. The first transition is 3511937; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 41 × 599

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,700,800

Proper Divisor Sum 5,676,926

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7023869 ← → #7023881

Radix Representation

Decimal	7023874
Binary	11010110010110100000010 (23 bits)
Octal	0o32626402
Hexadecimal	0x6B2D02

Divisor Catalog (32)

1 2 11 13 22 26 41 82 143 286 451 533 599 902 1,066 1,198 5,863 6,589 7,787 11,726 13,178 15,574 24,559 49,118 85,657 171,314 270,149 319,267 540,298 638,534 3,511,937 7,023,874

Collatz Trajectory (152 steps to reach 1)

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

7,023,874 3,511,937 10,535,812 5,267,906 2,633,953 7,901,860 3,950,930 1,975,465 5,926,396 2,963,198 1,481,599 4,444,798 2,222,399 6,667,198 3,333,599 10,000,798 5,000,399 15,001,198 7,500,599 22,501,798 11,250,899 33,752,698 16,876,349 50,629,048 25,314,524 12,657,262 6,328,631 18,985,894 9,492,947 28,478,842 14,239,421 42,718,264 21,359,132 10,679,566 5,339,783 16,019,350 8,009,675 24,029,026 12,014,513 36,043,540 18,021,770 9,010,885 27,032,656 13,516,328 6,758,164 3,379,082 1,689,541 5,068,624 2,534,312 1,267,156 633,578 316,789 950,368 475,184 237,592 118,796 59,398 29,699 89,098 44,549

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