λ
Sigma Notebook

5,320,632

23 × 3 × 83 × 2671
Abundant Even Composite

5,320,632 is even and not a perfect square. Its factorization is 2^3 × 3 × 83 × 2671 and its 32 divisors sum to 13,466,880.

Prime Factor Structure

Factorization String 2^3 × 3 × 83 × 2671
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,466,880
Proper Divisor Sum 8,146,248
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #5320631 ← → #5320633

Radix Representation

Decimal 5320632
Binary 10100010010111110111000 (23 bits)
Octal 0o24227670
Hexadecimal 0x512FB8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 83 166 249 332 498 664 996 1,992 2,671 5,342 8,013 10,684 16,026 21,368 32,052 64,104 221,693 443,386 665,079 886,772 1,330,158 1,773,544 2,660,316 5,320,632

Collatz Trajectory (82 steps to reach 1)

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

5,320,632 2,660,316 1,330,158 665,079 1,995,238 997,619 2,992,858 1,496,429 4,489,288 2,244,644 1,122,322 561,161 1,683,484 841,742 420,871 1,262,614 631,307 1,893,922 946,961 2,840,884 1,420,442 710,221 2,130,664 1,065,332 532,666 266,333 799,000 399,500 199,750 99,875 299,626 149,813 449,440 224,720 112,360 56,180 28,090 14,045 42,136 21,068 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938

More profiles

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