4,097,952

2⁵ × 3⁵ × 17 × 31

Prime Factor Structure

Factorization String 2^5 × 3^5 × 17 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 13,208,832

Proper Divisor Sum 9,110,880

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4097923 ← → #4097953

Radix Representation

Decimal	4097952
Binary	1111101000011110100000 (22 bits)
Octal	0o17503640
Hexadecimal	0x3E87A0

Divisor Catalog (60 of 144)

1 2 3 4 6 8 9 12 16 17 18 24 27 31 32 34 36 48 51 54 62 68 72 81 93 96 102 108 124 136 144 153 162 186 204 216 243 248 272 279 288 306 324 372 408 432 459 486 496 527 544 558 612 648 744 816 837 864 918 972

Collatz Trajectory (92 steps to reach 1)

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

4,097,952 2,048,976 1,024,488 512,244 256,122 128,061 384,184 192,092 96,046 48,023 144,070 72,035 216,106 108,053 324,160 162,080 81,040 40,520 20,260 10,130 5,065 15,196 7,598 3,799 11,398 5,699 17,098 8,549 25,648 12,824 6,412 3,206 1,603 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372

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