λ
Sigma Notebook

4,568,733

32 × 13 × 17 × 2297
Deficient Odd Composite

4,568,733 is odd and not a perfect square. Its factorization is 3^2 × 13 × 17 × 2297 and its 24 divisors sum to 7,528,248.

Prime Factor Structure

Factorization String 3^2 × 13 × 17 × 2297
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,528,248
Proper Divisor Sum 2,959,515
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4568731 ← → #4568737

Radix Representation

Decimal 4568733
Binary 10001011011011010011101 (23 bits)
Octal 0o21333235
Hexadecimal 0x45B69D

Divisor Catalog (24)

1 3 9 13 17 39 51 117 153 221 663 1,989 2,297 6,891 20,673 29,861 39,049 89,583 117,147 268,749 351,441 507,637 1,522,911 4,568,733

Collatz Trajectory (299 steps to reach 1)

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

4,568,733 13,706,200 6,853,100 3,426,550 1,713,275 5,139,826 2,569,913 7,709,740 3,854,870 1,927,435 5,782,306 2,891,153 8,673,460 4,336,730 2,168,365 6,505,096 3,252,548 1,626,274 813,137 2,439,412 1,219,706 609,853 1,829,560 914,780 457,390 228,695 686,086 343,043 1,029,130 514,565 1,543,696 771,848 385,924 192,962 96,481 289,444 144,722 72,361 217,084 108,542 54,271 162,814 81,407 244,222 122,111 366,334 183,167 549,502 274,751 824,254 412,127 1,236,382 618,191 1,854,574 927,287 2,781,862 1,390,931 4,172,794 2,086,397 6,259,192

More profiles

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