13,023,506

2 × 2003 × 3251

13,023,506 factors as 2 × 2003 × 3251. Its 8 positive divisors give a proper-divisor sum of 6,527,518, so this integer is deficient. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2 × 2003 × 3251

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 19,551,024

Proper Divisor Sum 6,527,518

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #13023499 ← → #13023509

Radix Representation

Decimal	13023506
Binary	110001101011100100010010 (24 bits)
Octal	0o61534422
Hexadecimal	0xC6B912

Divisor Catalog (8)

1 2 2,003 3,251 4,006 6,502 6,511,753 13,023,506

Collatz Trajectory (223 steps to reach 1)

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

13,023,506 6,511,753 19,535,260 9,767,630 4,883,815 14,651,446 7,325,723 21,977,170 10,988,585 32,965,756 16,482,878 8,241,439 24,724,318 12,362,159 37,086,478 18,543,239 55,629,718 27,814,859 83,444,578 41,722,289 125,166,868 62,583,434 31,291,717 93,875,152 46,937,576 23,468,788 11,734,394 5,867,197 17,601,592 8,800,796 4,400,398 2,200,199 6,600,598 3,300,299 9,900,898 4,950,449 14,851,348 7,425,674 3,712,837 11,138,512 5,569,256 2,784,628 1,392,314 696,157 2,088,472 1,044,236 522,118 261,059 783,178 391,589 1,174,768 587,384 293,692 146,846 73,423 220,270 110,135 330,406 165,203 495,610

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