315,328

2⁶ × 13 × 379

Starting at 315,328, the Collatz iteration reaches 1 after 215 steps. The first transition is 157664; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 13 × 379

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 675,640

Proper Divisor Sum 360,312

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #315313 ← → #315349

Radix Representation

Decimal	315328
Binary	1001100111111000000 (19 bits)
Octal	0o1147700
Hexadecimal	0x4CFC0

Divisor Catalog (28)

1 2 4 8 13 16 26 32 52 64 104 208 379 416 758 832 1,516 3,032 4,927 6,064 9,854 12,128 19,708 24,256 39,416 78,832 157,664 315,328

Collatz Trajectory (215 steps to reach 1)

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

315,328 157,664 78,832 39,416 19,708 9,854 4,927 14,782 7,391 22,174 11,087 33,262 16,631 49,894 24,947 74,842 37,421 112,264 56,132 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028

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