1,336,000

2⁶ × 5³ × 167

Starting at 1,336,000, the Collatz iteration reaches 1 after 93 steps. The first transition is 668000; the starting value is even with 56 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 5^3 × 167

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 3,328,416

Proper Divisor Sum 1,992,416

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #1335991 ← → #1336003

Radix Representation

Decimal	1336000
Binary	101000110001011000000 (21 bits)
Octal	0o5061300
Hexadecimal	0x1462C0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 167 200 250 320 334 400 500 668 800 835 1,000 1,336 1,600 1,670 2,000 2,672 3,340 4,000 4,175 5,344 6,680 8,000 8,350 10,688 13,360 16,700 20,875 26,720 33,400 41,750 53,440 66,800 83,500 133,600 167,000 267,200 334,000 668,000 1,336,000

Collatz Trajectory (93 steps to reach 1)

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

1,336,000 668,000 334,000 167,000 83,500 41,750 20,875 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807 26,422 13,211 39,634 19,817 59,452 29,726 14,863 44,590 22,295 66,886 33,443 100,330 50,165 150,496 75,248 37,624 18,812 9,406 4,703 14,110 7,055 21,166 10,583 31,750 15,875 47,626 23,813 71,440 35,720 17,860 8,930 4,465 13,396 6,698 3,349 10,048 5,024 2,512 1,256 628 314 157 472 236

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