8,033,344

2⁶ × 11 × 11411

Starting at 8,033,344, the Collatz iteration reaches 1 after 168 steps. The first transition is 4016672; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 11 × 11411

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 17,391,888

Proper Divisor Sum 9,358,544

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #8033339 ← → #8033359

Radix Representation

Decimal	8033344
Binary	11110101001010001000000 (23 bits)
Octal	0o36512100
Hexadecimal	0x7A9440

Divisor Catalog (28)

1 2 4 8 11 16 22 32 44 64 88 176 352 704 11,411 22,822 45,644 91,288 125,521 182,576 251,042 365,152 502,084 730,304 1,004,168 2,008,336 4,016,672 8,033,344

Collatz Trajectory (168 steps to reach 1)

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

8,033,344 4,016,672 2,008,336 1,004,168 502,084 251,042 125,521 376,564 188,282 94,141 282,424 141,212 70,606 35,303 105,910 52,955 158,866 79,433 238,300 119,150 59,575 178,726 89,363 268,090 134,045 402,136 201,068 100,534 50,267 150,802 75,401 226,204 113,102 56,551 169,654 84,827 254,482 127,241 381,724 190,862 95,431 286,294 143,147 429,442 214,721 644,164 322,082 161,041 483,124 241,562 120,781 362,344 181,172 90,586 45,293 135,880 67,940 33,970 16,985 50,956

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