λ
Sigma Notebook

4,631,838

2 × 3 × 771973
Abundant Even Composite

4,631,838 is even and not a perfect square. Its factorization is 2 × 3 × 771973 and its 8 divisors sum to 9,263,688.

Prime Factor Structure

Factorization String 2 × 3 × 771973
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,263,688
Proper Divisor Sum 4,631,850
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4631821 ← → #4631843

Radix Representation

Decimal 4631838
Binary 10001101010110100011110 (23 bits)
Octal 0o21526436
Hexadecimal 0x46AD1E

Divisor Catalog (8)

1 2 3 6 771,973 1,543,946 2,315,919 4,631,838

Collatz Trajectory (224 steps to reach 1)

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

4,631,838 2,315,919 6,947,758 3,473,879 10,421,638 5,210,819 15,632,458 7,816,229 23,448,688 11,724,344 5,862,172 2,931,086 1,465,543 4,396,630 2,198,315 6,594,946 3,297,473 9,892,420 4,946,210 2,473,105 7,419,316 3,709,658 1,854,829 5,564,488 2,782,244 1,391,122 695,561 2,086,684 1,043,342 521,671 1,565,014 782,507 2,347,522 1,173,761 3,521,284 1,760,642 880,321 2,640,964 1,320,482 660,241 1,980,724 990,362 495,181 1,485,544 742,772 371,386 185,693 557,080 278,540 139,270 69,635 208,906 104,453 313,360 156,680 78,340 39,170 19,585 58,756 29,378

More profiles

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