318,504

2³ × 3 × 23 × 577

Starting at 318,504, the Collatz iteration reaches 1 after 78 steps. The first transition is 159252; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 23 × 577

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 832,320

Proper Divisor Sum 513,816

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #318503 ← → #318523

Radix Representation

Decimal	318504
Binary	1001101110000101000 (19 bits)
Octal	0o1156050
Hexadecimal	0x4DC28

Divisor Catalog (32)

1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 577 1,154 1,731 2,308 3,462 4,616 6,924 13,271 13,848 26,542 39,813 53,084 79,626 106,168 159,252 318,504

Collatz Trajectory (78 steps to reach 1)

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

318,504 159,252 79,626 39,813 119,440 59,720 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58

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