3,584,748

2² × 3 × 29 × 10301

3,584,748 has the prime decomposition 2^2 × 3 × 29 × 10301. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 10301

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 8,653,680

Proper Divisor Sum 5,068,932

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3584743 ← → #3584759

Radix Representation

Decimal	3584748
Binary	1101101011001011101100 (22 bits)
Octal	0o15531354
Hexadecimal	0x36B2EC

Divisor Catalog (24)

1 2 3 4 6 12 29 58 87 116 174 348 10,301 20,602 30,903 41,204 61,806 123,612 298,729 597,458 896,187 1,194,916 1,792,374 3,584,748

Collatz Trajectory (190 steps to reach 1)

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

3,584,748 1,792,374 896,187 2,688,562 1,344,281 4,032,844 2,016,422 1,008,211 3,024,634 1,512,317 4,536,952 2,268,476 1,134,238 567,119 1,701,358 850,679 2,552,038 1,276,019 3,828,058 1,914,029 5,742,088 2,871,044 1,435,522 717,761 2,153,284 1,076,642 538,321 1,614,964 807,482 403,741 1,211,224 605,612 302,806 151,403 454,210 227,105 681,316 340,658 170,329 510,988 255,494 127,747 383,242 191,621 574,864 287,432 143,716 71,858 35,929 107,788 53,894 26,947 80,842 40,421 121,264 60,632 30,316 15,158 7,579 22,738

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