930,528

2⁵ × 3⁴ × 359

Starting at 930,528, the Collatz iteration reaches 1 after 77 steps. The first transition is 465264; the starting value is even with 60 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^4 × 359

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 2,744,280

Proper Divisor Sum 1,813,752

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #930509 ← → #930547

Radix Representation

Decimal	930528
Binary	11100011001011100000 (20 bits)
Octal	0o3431340
Hexadecimal	0xE32E0

Divisor Catalog (60)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 359 432 648 718 864 1,077 1,296 1,436 2,154 2,592 2,872 3,231 4,308 5,744 6,462 8,616 9,693 11,488 12,924 17,232 19,386 25,848 29,079 34,464 38,772 51,696 58,158 77,544 103,392 116,316 155,088 232,632 310,176 465,264 930,528

Collatz Trajectory (77 steps to reach 1)

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

930,528 465,264 232,632 116,316 58,158 29,079 87,238 43,619 130,858 65,429 196,288 98,144 49,072 24,536 12,268 6,134 3,067 9,202 4,601 13,804 6,902 3,451 10,354 5,177 15,532 7,766 3,883 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688 1,844 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28

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