747,735

3 × 5 × 79 × 631

For 747,735, the 16 positive divisors have a total of 1,213,440. Removing 747,735 leaves 465,705, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 79 × 631

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,213,440

Proper Divisor Sum 465,705

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #747731 ← → #747737

Radix Representation

Decimal	747735
Binary	10110110100011010111 (20 bits)
Octal	0o2664327
Hexadecimal	0xB68D7

Divisor Catalog (16)

1 3 5 15 79 237 395 631 1,185 1,893 3,155 9,465 49,849 149,547 249,245 747,735

Collatz Trajectory (87 steps to reach 1)

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

747,735 2,243,206 1,121,603 3,364,810 1,682,405 5,047,216 2,523,608 1,261,804 630,902 315,451 946,354 473,177 1,419,532 709,766 354,883 1,064,650 532,325 1,596,976 798,488 399,244 199,622 99,811 299,434 149,717 449,152 224,576 112,288 56,144 28,072 14,036 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134

← Previous Integer #747,734 Browse Full Index Next Integer #747,736 →