8,033,844

2² × 3 × 7² × 13 × 1051

Starting at 8,033,844, the Collatz iteration reaches 1 after 168 steps. The first transition is 4016922; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 13 × 1051

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 23,505,888

Proper Divisor Sum 15,472,044

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8033821 ← → #8033849

Radix Representation

Decimal	8033844
Binary	11110101001011000110100 (23 bits)
Octal	0o36513064
Hexadecimal	0x7A9634

Divisor Catalog (60 of 72)

1 2 3 4 6 7 12 13 14 21 26 28 39 42 49 52 78 84 91 98 147 156 182 196 273 294 364 546 588 637 1,051 1,092 1,274 1,911 2,102 2,548 3,153 3,822 4,204 6,306 7,357 7,644 12,612 13,663 14,714 22,071 27,326 29,428 40,989 44,142 51,499 54,652 81,978 88,284 95,641 102,998 154,497 163,956 191,282 205,996

Collatz Trajectory (168 steps to reach 1)

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

8,033,844 4,016,922 2,008,461 6,025,384 3,012,692 1,506,346 753,173 2,259,520 1,129,760 564,880 282,440 141,220 70,610 35,305 105,916 52,958 26,479 79,438 39,719 119,158 59,579 178,738 89,369 268,108 134,054 67,027 201,082 100,541 301,624 150,812 75,406 37,703 113,110 56,555 169,666 84,833 254,500 127,250 63,625 190,876 95,438 47,719 143,158 71,579 214,738 107,369 322,108 161,054 80,527 241,582 120,791 362,374 181,187 543,562 271,781 815,344 407,672 203,836 101,918 50,959

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