λ
Sigma Notebook

4,562,596

22 × 17 × 229 × 293
Deficient Even Composite

4,562,596 is even and not a perfect square. Its factorization is 2^2 × 17 × 229 × 293 and its 24 divisors sum to 8,520,120.

Prime Factor Structure

Factorization String 2^2 × 17 × 229 × 293
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,520,120
Proper Divisor Sum 3,957,524
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4562567 ← → #4562627

Radix Representation

Decimal 4562596
Binary 10001011001111010100100 (23 bits)
Octal 0o21317244
Hexadecimal 0x459EA4

Divisor Catalog (24)

1 2 4 17 34 68 229 293 458 586 916 1,172 3,893 4,981 7,786 9,962 15,572 19,924 67,097 134,194 268,388 1,140,649 2,281,298 4,562,596

Collatz Trajectory (180 steps to reach 1)

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

4,562,596 2,281,298 1,140,649 3,421,948 1,710,974 855,487 2,566,462 1,283,231 3,849,694 1,924,847 5,774,542 2,887,271 8,661,814 4,330,907 12,992,722 6,496,361 19,489,084 9,744,542 4,872,271 14,616,814 7,308,407 21,925,222 10,962,611 32,887,834 16,443,917 49,331,752 24,665,876 12,332,938 6,166,469 18,499,408 9,249,704 4,624,852 2,312,426 1,156,213 3,468,640 1,734,320 867,160 433,580 216,790 108,395 325,186 162,593 487,780 243,890 121,945 365,836 182,918 91,459 274,378 137,189 411,568 205,784 102,892 51,446 25,723 77,170 38,585 115,756 57,878 28,939

More profiles

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