5,233,326

2 × 3 × 7 × 53 × 2351

Starting at 5,233,326, the Collatz iteration reaches 1 after 219 steps. The first transition is 2616663; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 53 × 2351

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,192,768

Proper Divisor Sum 6,959,442

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #5233321 ← → #5233343

Radix Representation

Decimal	5233326
Binary	10011111101101010101110 (23 bits)
Octal	0o23755256
Hexadecimal	0x4FDAAE

Divisor Catalog (32)

1 2 3 6 7 14 21 42 53 106 159 318 371 742 1,113 2,226 2,351 4,702 7,053 14,106 16,457 32,914 49,371 98,742 124,603 249,206 373,809 747,618 872,221 1,744,442 2,616,663 5,233,326

Collatz Trajectory (219 steps to reach 1)

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

5,233,326 2,616,663 7,849,990 3,924,995 11,774,986 5,887,493 17,662,480 8,831,240 4,415,620 2,207,810 1,103,905 3,311,716 1,655,858 827,929 2,483,788 1,241,894 620,947 1,862,842 931,421 2,794,264 1,397,132 698,566 349,283 1,047,850 523,925 1,571,776 785,888 392,944 196,472 98,236 49,118 24,559 73,678 36,839 110,518 55,259 165,778 82,889 248,668 124,334 62,167 186,502 93,251 279,754 139,877 419,632 209,816 104,908 52,454 26,227 78,682 39,341 118,024 59,012 29,506 14,753 44,260 22,130 11,065 33,196

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