207,408

2⁴ × 3 × 29 × 149

207,408 factors as 2^4 × 3 × 29 × 149. Its 40 positive divisors give a proper-divisor sum of 350,592, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 29 × 149

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 558,000

Proper Divisor Sum 350,592

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #207401 ← → #207409

Radix Representation

Decimal	207408
Binary	110010101000110000 (18 bits)
Octal	0o625060
Hexadecimal	0x32A30

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 29 48 58 87 116 149 174 232 298 348 447 464 596 696 894 1,192 1,392 1,788 2,384 3,576 4,321 7,152 8,642 12,963 17,284 25,926 34,568 51,852 69,136 103,704 207,408

Collatz Trajectory (173 steps to reach 1)

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

207,408 103,704 51,852 25,926 12,963 38,890 19,445 58,336 29,168 14,584 7,292 3,646 1,823 5,470 2,735 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348 1,174 587 1,762 881 2,644 1,322

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