3,208,010

2 × 5 × 13 × 24677

3,208,010 factors as 2 × 5 × 13 × 24677. Its 16 positive divisors give a proper-divisor sum of 3,010,846, so this integer is deficient. The Collatz stopping time is 239 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 24677

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,218,856

Proper Divisor Sum 3,010,846

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #3208001 ← → #3208013

Radix Representation

Decimal	3208010
Binary	1100001111001101001010 (22 bits)
Octal	0o14171512
Hexadecimal	0x30F34A

Divisor Catalog (16)

1 2 5 10 13 26 65 130 24,677 49,354 123,385 246,770 320,801 641,602 1,604,005 3,208,010

Collatz Trajectory (239 steps to reach 1)

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

3,208,010 1,604,005 4,812,016 2,406,008 1,203,004 601,502 300,751 902,254 451,127 1,353,382 676,691 2,030,074 1,015,037 3,045,112 1,522,556 761,278 380,639 1,141,918 570,959 1,712,878 856,439 2,569,318 1,284,659 3,853,978 1,926,989 5,780,968 2,890,484 1,445,242 722,621 2,167,864 1,083,932 541,966 270,983 812,950 406,475 1,219,426 609,713 1,829,140 914,570 457,285 1,371,856 685,928 342,964 171,482 85,741 257,224 128,612 64,306 32,153 96,460 48,230 24,115 72,346 36,173 108,520 54,260 27,130 13,565 40,696 20,348

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