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Atlas › Integer Profiles › Node 4,333,764

4,333,764

22 × 3 × 409 × 883
Abundant Even Composite

4,333,764 factors as 2^2 × 3 × 409 × 883. Its 24 positive divisors give a proper-divisor sum of 5,814,556, so this integer is abundant. The Collatz stopping time is 273 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 409 × 883
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,148,320
Proper Divisor Sum 5,814,556
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4333753 ← → #4333829

Radix Representation

Decimal 4333764
Binary 10000100010000011000100 (23 bits)
Octal 0o20420304
Hexadecimal 0x4220C4

Divisor Catalog (24)

1 2 3 4 6 12 409 818 883 1,227 1,636 1,766 2,454 2,649 3,532 4,908 5,298 10,596 361,147 722,294 1,083,441 1,444,588 2,166,882 4,333,764

Collatz Trajectory (273 steps to reach 1)

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

4,333,764 2,166,882 1,083,441 3,250,324 1,625,162 812,581 2,437,744 1,218,872 609,436 304,718 152,359 457,078 228,539 685,618 342,809 1,028,428 514,214 257,107 771,322 385,661 1,156,984 578,492 289,246 144,623 433,870 216,935 650,806 325,403 976,210 488,105 1,464,316 732,158 366,079 1,098,238 549,119 1,647,358 823,679 2,471,038 1,235,519 3,706,558 1,853,279 5,559,838 2,779,919 8,339,758 4,169,879 12,509,638 6,254,819 18,764,458 9,382,229 28,146,688 14,073,344 7,036,672 3,518,336 1,759,168 879,584 439,792 219,896 109,948 54,974 27,487

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