439,208

2³ × 7 × 11 × 23 × 31

439,208 factors as 2^3 × 7 × 11 × 23 × 31. Its 64 positive divisors give a proper-divisor sum of 666,712, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 23 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,105,920

Proper Divisor Sum 666,712

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #439199 ← → #439217

Radix Representation

Decimal	439208
Binary	1101011001110101000 (19 bits)
Octal	0o1531650
Hexadecimal	0x6B3A8

Divisor Catalog (60 of 64)

1 2 4 7 8 11 14 22 23 28 31 44 46 56 62 77 88 92 124 154 161 184 217 248 253 308 322 341 434 506 616 644 682 713 868 1,012 1,288 1,364 1,426 1,736 1,771 2,024 2,387 2,728 2,852 3,542 4,774 4,991 5,704 7,084 7,843 9,548 9,982 14,168 15,686 19,096 19,964 31,372 39,928 54,901

Collatz Trajectory (125 steps to reach 1)

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

439,208 219,604 109,802 54,901 164,704 82,352 41,176 20,588 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807 26,422 13,211 39,634 19,817 59,452 29,726 14,863 44,590 22,295 66,886 33,443 100,330

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