748,916

2² × 7² × 3821

Starting at 748,916, the Collatz iteration reaches 1 after 149 steps. The first transition is 374458; the starting value is even with 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 3821

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,524,978

Proper Divisor Sum 776,062

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #748889 ← → #748921

Radix Representation

Decimal	748916
Binary	10110110110101110100 (20 bits)
Octal	0o2666564
Hexadecimal	0xB6D74

Divisor Catalog (18)

1 2 4 7 14 28 49 98 196 3,821 7,642 15,284 26,747 53,494 106,988 187,229 374,458 748,916

Collatz Trajectory (149 steps to reach 1)

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

748,916 374,458 187,229 561,688 280,844 140,422 70,211 210,634 105,317 315,952 157,976 78,988 39,494 19,747 59,242 29,621 88,864 44,432 22,216 11,108 5,554 2,777 8,332 4,166 2,083 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

← Previous Integer #748,915 Browse Full Index Next Integer #748,917 →