λ
Sigma Notebook

572,456

23 × 163 × 439
Deficient Even Composite

572,456 is even and not a perfect square. Its factorization is 2^3 × 163 × 439 and its 16 divisors sum to 1,082,400.

Prime Factor Structure

Factorization String 2^3 × 163 × 439
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 1,082,400
Proper Divisor Sum 509,944
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #572449 ← → #572461

Radix Representation

Decimal 572456
Binary 10001011110000101000 (20 bits)
Octal 0o2136050
Hexadecimal 0x8BC28

Divisor Catalog (16)

1 2 4 8 163 326 439 652 878 1,304 1,756 3,512 71,557 143,114 286,228 572,456

Collatz Trajectory (128 steps to reach 1)

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

572,456 286,228 143,114 71,557 214,672 107,336 53,668 26,834 13,417 40,252 20,126 10,063 30,190 15,095 45,286 22,643 67,930 33,965 101,896 50,948 25,474 12,737 38,212 19,106 9,553 28,660 14,330 7,165 21,496 10,748 5,374 2,687 8,062 4,031 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926 22,963 68,890 34,445 103,336 51,668 25,834 12,917 38,752 19,376 9,688 4,844 2,422 1,211 3,634

More profiles

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