774,152

2³ × 96769

Starting at 774,152, the Collatz iteration reaches 1 after 149 steps. The first transition is 387076; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 96769

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,451,550

Proper Divisor Sum 677,398

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #774149 ← → #774161

Radix Representation

Decimal	774152
Binary	10111101000000001000 (20 bits)
Octal	0o2750010
Hexadecimal	0xBD008

Divisor Catalog (8)

1 2 4 8 96,769 193,538 387,076 774,152

Collatz Trajectory (149 steps to reach 1)

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

774,152 387,076 193,538 96,769 290,308 145,154 72,577 217,732 108,866 54,433 163,300 81,650 40,825 122,476 61,238 30,619 91,858 45,929 137,788 68,894 34,447 103,342 51,671 155,014 77,507 232,522 116,261 348,784 174,392 87,196 43,598 21,799 65,398 32,699 98,098 49,049 147,148 73,574 36,787 110,362 55,181 165,544 82,772 41,386 20,693 62,080 31,040 15,520 7,760 3,880 1,940 970 485 1,456 728 364 182 91 274 137

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