4,532,040

2³ × 3² × 5 × 12589

4,532,040 is even and not a perfect square. Its factorization is 2^3 × 3^2 × 5 × 12589 and its 48 divisors sum to 14,730,300.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 12589

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 14,730,300

Proper Divisor Sum 10,198,260

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4532023 ← → #4532041

Radix Representation

Decimal	4532040
Binary	10001010010011101001000 (23 bits)
Octal	0o21223510
Hexadecimal	0x452748

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 12,589 25,178 37,767 50,356 62,945 75,534 100,712 113,301 125,890 151,068 188,835 226,602 251,780 302,136 377,670 453,204 503,560 566,505 755,340 906,408 1,133,010 1,510,680 2,266,020 4,532,040

Collatz Trajectory (87 steps to reach 1)

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

4,532,040 2,266,020 1,133,010 566,505 1,699,516 849,758 424,879 1,274,638 637,319 1,911,958 955,979 2,867,938 1,433,969 4,301,908 2,150,954 1,075,477 3,226,432 1,613,216 806,608 403,304 201,652 100,826 50,413 151,240 75,620 37,810 18,905 56,716 28,358 14,179 42,538 21,269 63,808 31,904 15,952 7,976 3,988 1,994 997 2,992 1,496 748 374 187 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808

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