λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,333,590

4,333,590

2 × 32 × 5 × 179 × 269
Abundant Even Composite

4,333,590 factors as 2 × 3^2 × 5 × 179 × 269. Its 48 positive divisors give a proper-divisor sum of 7,038,810, so this integer is abundant. The Collatz stopping time is 66 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 179 × 269
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,372,400
Proper Divisor Sum 7,038,810
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4333547 ← → #4333597

Radix Representation

Decimal 4333590
Binary 10000100010000000010110 (23 bits)
Octal 0o20420026
Hexadecimal 0x422016

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 90 179 269 358 537 538 807 895 1,074 1,345 1,611 1,614 1,790 2,421 2,685 2,690 3,222 4,035 4,842 5,370 8,055 8,070 12,105 16,110 24,210 48,151 96,302 144,453 240,755 288,906 433,359 481,510 722,265 866,718 1,444,530 2,166,795 4,333,590

Collatz Trajectory (66 steps to reach 1)

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

4,333,590 2,166,795 6,500,386 3,250,193 9,750,580 4,875,290 2,437,645 7,312,936 3,656,468 1,828,234 914,117 2,742,352 1,371,176 685,588 342,794 171,397 514,192 257,096 128,548 64,274 32,137 96,412 48,206 24,103 72,310 36,155 108,466 54,233 162,700 81,350 40,675 122,026 61,013 183,040 91,520 45,760 22,880 11,440 5,720 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,333,589 Browse Full Index Next Integer #4,333,591 →