4,480,632

2³ × 3² × 13 × 4787

4,480,632 has the prime decomposition 2^3 × 3^2 × 13 × 4787. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 4787

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 13,071,240

Proper Divisor Sum 8,590,608

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4480631 ← → #4480649

Radix Representation

Decimal	4480632
Binary	10001000101111001111000 (23 bits)
Octal	0o21057170
Hexadecimal	0x445E78

Divisor Catalog (48)

1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 4,787 9,574 14,361 19,148 28,722 38,296 43,083 57,444 62,231 86,166 114,888 124,462 172,332 186,693 248,924 344,664 373,386 497,848 560,079 746,772 1,120,158 1,493,544 2,240,316 4,480,632

Collatz Trajectory (118 steps to reach 1)

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

4,480,632 2,240,316 1,120,158 560,079 1,680,238 840,119 2,520,358 1,260,179 3,780,538 1,890,269 5,670,808 2,835,404 1,417,702 708,851 2,126,554 1,063,277 3,189,832 1,594,916 797,458 398,729 1,196,188 598,094 299,047 897,142 448,571 1,345,714 672,857 2,018,572 1,009,286 504,643 1,513,930 756,965 2,270,896 1,135,448 567,724 283,862 141,931 425,794 212,897 638,692 319,346 159,673 479,020 239,510 119,755 359,266 179,633 538,900 269,450 134,725 404,176 202,088 101,044 50,522 25,261 75,784 37,892 18,946 9,473 28,420

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