7,204,464

2⁴ × 3⁵ × 17 × 109

Prime Factor Structure

Factorization String 2^4 × 3^5 × 17 × 109

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 22,342,320

Proper Divisor Sum 15,137,856

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7204427 ← → #7204471

Radix Representation

Decimal	7204464
Binary	11011011110111001110000 (23 bits)
Octal	0o33367160
Hexadecimal	0x6DEE70

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 109 136 144 153 162 204 216 218 243 272 306 324 327 408 432 436 459 486 612 648 654 816 872 918 972 981 1,224 1,296 1,308 1,377 1,744 1,836 1,853 1,944 1,962 2,448 2,616

Collatz Trajectory (204 steps to reach 1)

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

7,204,464 3,602,232 1,801,116 900,558 450,279 1,350,838 675,419 2,026,258 1,013,129 3,039,388 1,519,694 759,847 2,279,542 1,139,771 3,419,314 1,709,657 5,128,972 2,564,486 1,282,243 3,846,730 1,923,365 5,770,096 2,885,048 1,442,524 721,262 360,631 1,081,894 540,947 1,622,842 811,421 2,434,264 1,217,132 608,566 304,283 912,850 456,425 1,369,276 684,638 342,319 1,026,958 513,479 1,540,438 770,219 2,310,658 1,155,329 3,465,988 1,732,994 866,497 2,599,492 1,299,746 649,873 1,949,620 974,810 487,405 1,462,216 731,108 365,554 182,777 548,332 274,166

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