434,754

2 × 3³ × 83 × 97

434,754 factors as 2 × 3^3 × 83 × 97. Its 32 positive divisors give a proper-divisor sum of 553,086, so this integer is abundant. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 83 × 97

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 987,840

Proper Divisor Sum 553,086

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #434743 ← → #434761

Radix Representation

Decimal	434754
Binary	1101010001001000010 (19 bits)
Octal	0o1521102
Hexadecimal	0x6A242

Divisor Catalog (32)

1 2 3 6 9 18 27 54 83 97 166 194 249 291 498 582 747 873 1,494 1,746 2,241 2,619 4,482 5,238 8,051 16,102 24,153 48,306 72,459 144,918 217,377 434,754

Collatz Trajectory (81 steps to reach 1)

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

434,754 217,377 652,132 326,066 163,033 489,100 244,550 122,275 366,826 183,413 550,240 275,120 137,560 68,780 34,390 17,195 51,586 25,793 77,380 38,690 19,345 58,036 29,018 14,509 43,528 21,764 10,882 5,441 16,324 8,162 4,081 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #434,753 Browse Full Index Next Integer #434,755 →