747,357

3 × 13 × 19163

747,357 factors as 3 × 13 × 19163. Its 8 positive divisors give a proper-divisor sum of 325,827, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 3 × 13 × 19163

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,073,184

Proper Divisor Sum 325,827

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #747343 ← → #747361

Radix Representation

Decimal	747357
Binary	10110110011101011101 (20 bits)
Octal	0o2663535
Hexadecimal	0xB675D

Divisor Catalog (8)

1 3 13 39 19,163 57,489 249,119 747,357

Collatz Trajectory (87 steps to reach 1)

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

747,357 2,242,072 1,121,036 560,518 280,259 840,778 420,389 1,261,168 630,584 315,292 157,646 78,823 236,470 118,235 354,706 177,353 532,060 266,030 133,015 399,046 199,523 598,570 299,285 897,856 448,928 224,464 112,232 56,116 28,058 14,029 42,088 21,044 10,522 5,261 15,784 7,892 3,946 1,973 5,920 2,960 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134

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