1,643,200

2⁶ × 5² × 13 × 79

Starting at 1,643,200, the Collatz iteration reaches 1 after 70 steps. The first transition is 821600; the starting value is even with 84 positive divisors.

Prime Factor Structure

Factorization String 2^6 × 5^2 × 13 × 79

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 84

Divisor Sum (σ) 4,409,440

Proper Divisor Sum 2,766,240

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #1643197 ← → #1643219

Radix Representation

Decimal	1643200
Binary	110010001001011000000 (21 bits)
Octal	0o6211300
Hexadecimal	0x1912C0

Divisor Catalog (60 of 84)

1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 79 80 100 104 130 158 160 200 208 260 316 320 325 395 400 416 520 632 650 790 800 832 1,027 1,040 1,264 1,300 1,580 1,600 1,975 2,054 2,080 2,528 2,600 3,160 3,950 4,108 4,160 5,056 5,135 5,200 6,320 7,900 8,216

Collatz Trajectory (70 steps to reach 1)

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

1,643,200 821,600 410,800 205,400 102,700 51,350 25,675 77,026 38,513 115,540 57,770 28,885 86,656 43,328 21,664 10,832 5,416 2,708 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52

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