750,168

2³ × 3³ × 23 × 151

750,168 factors as 2^3 × 3^3 × 23 × 151. Its 64 positive divisors give a proper-divisor sum of 1,438,632, so this integer is abundant. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 23 × 151

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 2,188,800

Proper Divisor Sum 1,438,632

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #750163 ← → #750173

Radix Representation

Decimal	750168
Binary	10110111001001011000 (20 bits)
Octal	0o2671130
Hexadecimal	0xB7258

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 151 184 207 216 276 302 414 453 552 604 621 828 906 1,208 1,242 1,359 1,656 1,812 2,484 2,718 3,473 3,624 4,077 4,968 5,436 6,946 8,154 10,419 10,872 13,892 16,308 20,838 27,784 31,257 32,616 41,676 62,514 83,352 93,771 125,028

Collatz Trajectory (136 steps to reach 1)

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

750,168 375,084 187,542 93,771 281,314 140,657 421,972 210,986 105,493 316,480 158,240 79,120 39,560 19,780 9,890 4,945 14,836 7,418 3,709 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769

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