748,767

3 × 249589

748,767 factors as 3 × 249589. Its 4 positive divisors give a proper-divisor sum of 249,593, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 3 × 249589

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 998,360

Proper Divisor Sum 249,593

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #748763 ← → #748777

Radix Representation

Decimal	748767
Binary	10110110110011011111 (20 bits)
Octal	0o2666337
Hexadecimal	0xB6CDF

Divisor Catalog (4)

1 3 249,589 748,767

Collatz Trajectory (118 steps to reach 1)

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

748,767 2,246,302 1,123,151 3,369,454 1,684,727 5,054,182 2,527,091 7,581,274 3,790,637 11,371,912 5,685,956 2,842,978 1,421,489 4,264,468 2,132,234 1,066,117 3,198,352 1,599,176 799,588 399,794 199,897 599,692 299,846 149,923 449,770 224,885 674,656 337,328 168,664 84,332 42,166 21,083 63,250 31,625 94,876 47,438 23,719 71,158 35,579 106,738 53,369 160,108 80,054 40,027 120,082 60,041 180,124 90,062 45,031 135,094 67,547 202,642 101,321 303,964 151,982 75,991 227,974 113,987 341,962 170,981

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