4,533,088

2⁵ × 7⁴ × 59

Starting at 4,533,088, the Collatz iteration reaches 1 after 87 steps. The first transition is 2266544; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 7^4 × 59

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 10,587,780

Proper Divisor Sum 6,054,692

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4533079 ← → #4533091

Radix Representation

Decimal	4533088
Binary	10001010010101101100000 (23 bits)
Octal	0o21225540
Hexadecimal	0x452B60

Divisor Catalog (60)

1 2 4 7 8 14 16 28 32 49 56 59 98 112 118 196 224 236 343 392 413 472 686 784 826 944 1,372 1,568 1,652 1,888 2,401 2,744 2,891 3,304 4,802 5,488 5,782 6,608 9,604 10,976 11,564 13,216 19,208 20,237 23,128 38,416 40,474 46,256 76,832 80,948 92,512 141,659 161,896 283,318 323,792 566,636 647,584 1,133,272 2,266,544 4,533,088

Collatz Trajectory (87 steps to reach 1)

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

4,533,088 2,266,544 1,133,272 566,636 283,318 141,659 424,978 212,489 637,468 318,734 159,367 478,102 239,051 717,154 358,577 1,075,732 537,866 268,933 806,800 403,400 201,700 100,850 50,425 151,276 75,638 37,819 113,458 56,729 170,188 85,094 42,547 127,642 63,821 191,464 95,732 47,866 23,933 71,800 35,900 17,950 8,975 26,926 13,463 40,390 20,195 60,586 30,293 90,880 45,440 22,720 11,360 5,680 2,840 1,420 710 355 1,066 533 1,600 800

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