748,348

2² × 61 × 3067

748,348 factors as 2^2 × 61 × 3067. Its 12 positive divisors give a proper-divisor sum of 583,164, so this integer is deficient. The Collatz stopping time is 110 steps.

Prime Factor Structure

Factorization String 2^2 × 61 × 3067

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,331,512

Proper Divisor Sum 583,164

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #748343 ← → #748361

Radix Representation

Decimal	748348
Binary	10110110101100111100 (20 bits)
Octal	0o2665474
Hexadecimal	0xB6B3C

Divisor Catalog (12)

1 2 4 61 122 244 3,067 6,134 12,268 187,087 374,174 748,348

Collatz Trajectory (110 steps to reach 1)

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

748,348 374,174 187,087 561,262 280,631 841,894 420,947 1,262,842 631,421 1,894,264 947,132 473,566 236,783 710,350 355,175 1,065,526 532,763 1,598,290 799,145 2,397,436 1,198,718 599,359 1,798,078 899,039 2,697,118 1,348,559 4,045,678 2,022,839 6,068,518 3,034,259 9,102,778 4,551,389 13,654,168 6,827,084 3,413,542 1,706,771 5,120,314 2,560,157 7,680,472 3,840,236 1,920,118 960,059 2,880,178 1,440,089 4,320,268 2,160,134 1,080,067 3,240,202 1,620,101 4,860,304 2,430,152 1,215,076 607,538 303,769 911,308 455,654 227,827 683,482 341,741 1,025,224

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