8,224,616

2³ × 23 × 44699

Starting at 8,224,616, the Collatz iteration reaches 1 after 243 steps. The first transition is 4112308; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 23 × 44699

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,092,000

Proper Divisor Sum 7,867,384

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #8224609 ← → #8224631

Radix Representation

Decimal	8224616
Binary	11111010111111101101000 (23 bits)
Octal	0o37277550
Hexadecimal	0x7D7F68

Divisor Catalog (16)

1 2 4 8 23 46 92 184 44,699 89,398 178,796 357,592 1,028,077 2,056,154 4,112,308 8,224,616

Collatz Trajectory (243 steps to reach 1)

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

8,224,616 4,112,308 2,056,154 1,028,077 3,084,232 1,542,116 771,058 385,529 1,156,588 578,294 289,147 867,442 433,721 1,301,164 650,582 325,291 975,874 487,937 1,463,812 731,906 365,953 1,097,860 548,930 274,465 823,396 411,698 205,849 617,548 308,774 154,387 463,162 231,581 694,744 347,372 173,686 86,843 260,530 130,265 390,796 195,398 97,699 293,098 146,549 439,648 219,824 109,912 54,956 27,478 13,739 41,218 20,609 61,828 30,914 15,457 46,372 23,186 11,593 34,780 17,390 8,695

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