380,128

2⁵ × 7 × 1697

Starting at 380,128, the Collatz iteration reaches 1 after 78 steps. The first transition is 190064; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 7 × 1697

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 855,792

Proper Divisor Sum 475,664

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #380117 ← → #380129

Radix Representation

Decimal	380128
Binary	1011100110011100000 (19 bits)
Octal	0o1346340
Hexadecimal	0x5CCE0

Divisor Catalog (24)

1 2 4 7 8 14 16 28 32 56 112 224 1,697 3,394 6,788 11,879 13,576 23,758 27,152 47,516 54,304 95,032 190,064 380,128

Collatz Trajectory (78 steps to reach 1)

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

380,128 190,064 95,032 47,516 23,758 11,879 35,638 17,819 53,458 26,729 80,188 40,094 20,047 60,142 30,071 90,214 45,107 135,322 67,661 202,984 101,492 50,746 25,373 76,120 38,060 19,030 9,515 28,546 14,273 42,820 21,410 10,705 32,116 16,058 8,029 24,088 12,044 6,022 3,011 9,034 4,517 13,552 6,776 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416

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