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Atlas › Integer Profiles › Node 16,201,626

16,201,626

2 × 3 × 7 × 43 × 8971
Abundant Even Composite

16,201,626 factors as 2 × 3 × 7 × 43 × 8971. Its 32 positive divisors give a proper-divisor sum of 21,696,102, so this integer is abundant. The Collatz stopping time is 231 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 43 × 8971
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 37,897,728
Proper Divisor Sum 21,696,102
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #16201621 ← → #16201657

Radix Representation

Decimal 16201626
Binary 111101110011011110011010 (24 bits)
Octal 0o75633632
Hexadecimal 0xF7379A

Divisor Catalog (32)

1 2 3 6 7 14 21 42 43 86 129 258 301 602 903 1,806 8,971 17,942 26,913 53,826 62,797 125,594 188,391 376,782 385,753 771,506 1,157,259 2,314,518 2,700,271 5,400,542 8,100,813 16,201,626

Collatz Trajectory (231 steps to reach 1)

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

16,201,626 8,100,813 24,302,440 12,151,220 6,075,610 3,037,805 9,113,416 4,556,708 2,278,354 1,139,177 3,417,532 1,708,766 854,383 2,563,150 1,281,575 3,844,726 1,922,363 5,767,090 2,883,545 8,650,636 4,325,318 2,162,659 6,487,978 3,243,989 9,731,968 4,865,984 2,432,992 1,216,496 608,248 304,124 152,062 76,031 228,094 114,047 342,142 171,071 513,214 256,607 769,822 384,911 1,154,734 577,367 1,732,102 866,051 2,598,154 1,299,077 3,897,232 1,948,616 974,308 487,154 243,577 730,732 365,366 182,683 548,050 274,025 822,076 411,038 205,519 616,558

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