7,673,328

2⁴ × 3² × 13 × 4099

7,673,328 is even and not a perfect square. Its factorization is 2^4 × 3^2 × 13 × 4099 and its 60 divisors sum to 23,132,200.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 13 × 4099

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 23,132,200

Proper Divisor Sum 15,458,872

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #7673327 ← → #7673333

Radix Representation

Decimal	7673328
Binary	11101010001010111110000 (23 bits)
Octal	0o35212760
Hexadecimal	0x7515F0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1,872 4,099 8,198 12,297 16,396 24,594 32,792 36,891 49,188 53,287 65,584 73,782 98,376 106,574 147,564 159,861 196,752 213,148 295,128 319,722 426,296 479,583 590,256 639,444 852,592 959,166 1,278,888 1,918,332 2,557,776 3,836,664 7,673,328

Collatz Trajectory (217 steps to reach 1)

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

7,673,328 3,836,664 1,918,332 959,166 479,583 1,438,750 719,375 2,158,126 1,079,063 3,237,190 1,618,595 4,855,786 2,427,893 7,283,680 3,641,840 1,820,920 910,460 455,230 227,615 682,846 341,423 1,024,270 512,135 1,536,406 768,203 2,304,610 1,152,305 3,456,916 1,728,458 864,229 2,592,688 1,296,344 648,172 324,086 162,043 486,130 243,065 729,196 364,598 182,299 546,898 273,449 820,348 410,174 205,087 615,262 307,631 922,894 461,447 1,384,342 692,171 2,076,514 1,038,257 3,114,772 1,557,386 778,693 2,336,080 1,168,040 584,020 292,010

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